Dr pT Final Presentation 2011

8/6/2019 Dr pT Final Presentation 2011

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Dr Pankajr PankajQualification:Qualification:

M.Sc. Maths (Gold medalist), H.P.U. ShimlaM.Sc. Maths (Gold medalist), H.P.U. Shimla M.Phil. Maths (Gold medalist), H.P.U. ShimlaM.Phil. Maths (Gold medalist), H.P.U. Shimla Ph.D., H.P.U. ShimlaPh.D., H.P.U. Shimla D.Sc. (in Prog.), H.P.U. ShimlaD.Sc. (in Prog.), H.P.U. Shimla Honorary Fellowship Award of the Australian Institute of High Energetic Materials,Honorary Fellowship Award of the Australian Institute of High Energetic Materials,

Monash University (Australia), The fellowship is awarded on annual base toMonash University (Australia), The fellowship is awarded on annual base toprominent scientists working in the interdisciplinary areas of chemical andprominent scientists working in the interdisciplinary areas of chemical andmechanical engineering and other relevant subjects, 2011 (mechanical engineering and other relevant subjects, 2011 (

http://www.ausihem.orghttp://www.ausihem.org) .) . Editor in Continental Journal of applied Science, Nigeria .Editor in Continental Journal of applied Science, Nigeria . Member in World Academy of Science Engineering and Technology Scientific andMember in World Academy of Science Engineering and Technology Scientific and

Technical Committee on Natural And Applied Science .Technical Committee on Natural And Applied Science . Member in IST Press (A world of Sharing Science) and Reviewers, Canada .Member in IST Press (A world of Sharing Science) and Reviewers, Canada . Member HiPEAC Europe.Member HiPEAC Europe. Editorial Board member in Scientific Journals International, USA.Editorial Board member in Scientific Journals International, USA. Member in International Association of Computer Science and InformationMember in International Association of Computer Science and Information

Technology (IACSIT) Singapore .Technology (IACSIT) Singapore . Editorial board Member of African Journal of Biotechnology.Editorial board Member of African Journal of Biotechnology.
http://www.ausihem.org/http://www.ausihem.org/http://www.ausihem.org/


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Research ReviewersResearch Reviewers

1.1. IST Transactions of Mechanical Systems-Theory and Applications, Structural mechanics , CreepIST Transactions of Mechanical Systems-Theory and Applications, Structural mechanics , Creep

damage, Pure and applied research, Mechanics of rigid bodies, Fracture, Composites ,damage, Pure and applied research, Mechanics of rigid bodies, Fracture, Composites ,

Thermodynamics , Elasticity , Plasticity, Canada .Thermodynamics , Elasticity , Plasticity, Canada .

2.2. IST Transactions of Applied Mathematics-Modeling and Simulation Statistics, Estimation ,IST Transactions of Applied Mathematics-Modeling and Simulation Statistics, Estimation ,

Mathematical biology, Canada .Mathematical biology, Canada .

3.3. IST Transactions of Biomedical Sciences and Engineering, Canada.IST Transactions of Biomedical Sciences and Engineering, Canada.

4.4. Journal of Mechanical, Aerospace and Industrial Engineering,USA .Journal of Mechanical, Aerospace and Industrial Engineering,USA .

5.5. Journal of Civil, Environmental and Architectural Engineering, USA.Journal of Civil, Environmental and Architectural Engineering, USA.

6.6. Contention Journal of Applied Science, Nigeria .Contention Journal of Applied Science, Nigeria .

7.7. Thermal Science international Scientific journal Serbia (Refereed Journal) .Thermal Science international Scientific journal Serbia (Refereed Journal) .

8.8. Reviewers in Journal of portugaliae electro-chimica acta.Reviewers in Journal of portugaliae electro-chimica acta.

9.9. Reviewers in Defence Science Journal, India.Reviewers in Defence Science Journal, India.

10.10. Reviewers in CST Journal, America.Reviewers in CST Journal, America.


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Area of INTERESTArea of INTEREST ::1. Applied Mathematics. Applied Mathematics2. Solid Mechanics. Solid Mechanics3. Elastic. Elastic4. Plastic. Plastic5. Creep. Creep

Title of ThesisTitle of Thesis

M.Phil.: Elastic - plastic Rotating Disc with rigid inclusion under Steady - StateM.Phil.: Elastic - plastic Rotating Disc with rigid inclusion under Steady - State

Temperature.Temperature. Ph.D.: Some Problems in Elastic- Plastic and Creep Transition.Ph.D.: Some Problems in Elastic- Plastic and Creep Transition.

D.Sc.D.Sc.: Problems in Elastic - Plastic and Creep Transition in a thin rotating disc: Problems in Elastic - Plastic and Creep Transition in a thin rotating disc


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Publicationsublications Research paper published International Refereed Journal in Year 2011: (11)Research paper published International Refereed Journal in Year 2011: (11) Pankaj Thakur, Transitional stresses in rectangular pate accepted for publication inPankaj Thakur, Transitional stresses in rectangular pate accepted for publication in International journal ofInternational journal of

Physical SciencePhysical Science,,African JournalAfrican Journal, ISSN: 1992-1950 2009 Academic Journals, Impact Factor 0.551, 2011., ISSN: 1992-1950 2009 Academic Journals, Impact Factor 0.551, 2011.

Pankaj Thakur, elastic-plastic transition stresses in a spherical shell under internal pressure by using lebesguePankaj Thakur, elastic-plastic transition stresses in a spherical shell under internal pressure by using lebesguemeasure concept accepted for publicationmeasure concept accepted for publication International journal Applied Mechanics and EngineeringInternational journal Applied Mechanics and Engineering, Poland,, Poland,ISSN: 1425-1655, 2011.ISSN: 1425-1655, 2011.

Pankaj thakur, creep transition stresses in a spherical shell under internal pressure by using lebesgue measurePankaj thakur, creep transition stresses in a spherical shell under internal pressure by using lebesgue measureconcept accepted for publication inconcept accepted for publication in International journal Applied Mechanics and EngineeringInternational journal Applied Mechanics and Engineering, Poland, Vol. 16,, Poland, Vol. 16,No. 3, 2011, ISSN: 1425-1655.No. 3, 2011, ISSN: 1425-1655.

Pankaj,Gaurav Sharma, Creep transition stresses in thick walled rotating cylinder by finitesimal deformationPankaj,Gaurav Sharma, Creep transition stresses in thick walled rotating cylinder by finitesimal deformationunder steady state temperature, Indian Science Abstracts,under steady state temperature, Indian Science Abstracts, Engineering,Engineering, Vol. 47,Vol. 47,No.2, 2011, pp. 001652 , ISSN:No.2, 2011, pp. 001652 , ISSN:0019-6339.0019-6339.

Pankaj thakur, Elastic-plastic transition stresses in a non-homogeneous disc having variable thickness andPankaj thakur, Elastic-plastic transition stresses in a non-homogeneous disc having variable thickness anddensity subjected to internal pressure accepted for publication in IST Transactions of Mechanical Systems-density subjected to internal pressure accepted for publication in IST Transactions of Mechanical Systems-Theory and Application send for publication ,2011, ISSN (Print): 1913-8261,ISSN (CDROM): 1913-827X.Theory and Application send for publication ,2011, ISSN (Print): 1913-8261,ISSN (CDROM): 1913-827X.

Pankaj Thakur, Elastic-plastic Transitional stresses by finitesimal deformation in a thick walled rotating cylinderPankaj Thakur, Elastic-plastic Transitional stresses by finitesimal deformation in a thick walled rotating cylinderunder steady steady temperature accepted for publication inunder steady steady temperature accepted for publication in Thermal Science International Scientific JournalThermal Science International Scientific Journal,,2011, Impact Factor 0.62.2011, Impact Factor 0.62.

Pankaj Thakur, Creep Transitional stresses and strain rates in a thick walled circular cylinder subjected toPankaj Thakur, Creep Transitional stresses and strain rates in a thick walled circular cylinder subjected tointernal pressure and steady sate temperature accepted for publication ininternal pressure and steady sate temperature accepted for publication in Thermal Science InternationalThermal Science InternationalScientific JournalScientific Journal, 2011, Impact Factor 0.62., 2011, Impact Factor 0.62.

Pankaj Thakur, Elastic-Plastic stresses in a Thin Rotating Disc of having Varying Thickness and Edge Load withPankaj Thakur, Elastic-Plastic stresses in a Thin Rotating Disc of having Varying Thickness and Edge Load withInclusion, send for publication in IST Transactions of Mechanical Systems-Theory and Application, Accepted forInclusion, send for publication in IST Transactions of Mechanical Systems-Theory and Application, Accepted forpublication ,2011, ISSN (Print): 1913-8261,ISSN (CDROM): 1913-827X.publication ,2011, ISSN (Print): 1913-8261,ISSN (CDROM): 1913-827X.

Pankaj Thakur, Effect of creep transitional stresses in an isotropic rotating cylinder under steady statePankaj Thakur, Effect of creep transitional stresses in an isotropic rotating cylinder under steady statetemperature accepted for publication intemperature accepted for publication in Thermal Science International Scientific JournalThermal Science International Scientific Journal, 2011, Impact Factor, 2011, Impact Factor0.62.0.62.

Pankaj Thakur, Elastic-plastic transition stresses in a non-homogeneous thick walled circular subjected toPankaj Thakur, Elastic-plastic transition stresses in a non-homogeneous thick walled circular subjected tointernal pressure and steady state temperature accepted for publication ininternal pressure and steady state temperature accepted for publication in Thermal Science InternationalThermal Science InternationalScientific JournalScientific Journal, 2011, Impact Factor 0.62., 2011, Impact Factor 0.62.

Pankaj Thakur, Creep Transition Stresses Of A Thick Isotropic Spherical Shell Under Internal Pressure AndPankaj Thakur, Creep Transition Stresses Of A Thick Isotropic Spherical Shell Under Internal Pressure AndSteady State Of Temperature, accepted for publication inSteady State Of Temperature, accepted for publication in Thermal Science International Scientific JournalThermal Science International Scientific Journal, Vol., Vol.15, 2011, Impact Factor 0.62.15, 2011, Impact Factor 0.62.


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Research paper publishedResearch paper published

in Year 2010in Year 2010 (6)(6) Pankaj ThakurPankaj Thakur,, Elastic-plastic transition stresses in rotating cylinder by finiteElastic-plastic transition stresses in rotating cylinder by finite

deformation under steady- state temperature,deformation under steady- state temperature, Thermal Science International ScientificThermal Science International ScientificJournalJournal,, Belgrade, SerbiaBelgrade, Serbia and Montenegro, online first DOI REFERENCE:and Montenegro, online first DOI REFERENCE:10.2298/TSCI090715041P10.2298/TSCI090715041P , 2010 (Accepted for publication in 2010 Vol. 1 or 2 ),, 2010 (Accepted for publication in 2010 Vol. 1 or 2 ),ISSN:ISSN:0354-9836, Impact Factor 0.62 .0354-9836, Impact Factor 0.62 .

Pankaj ThakurPankaj Thakur, Elastic-plastic transition stresses in a thin rotating disc with rigid inclusion, Elastic-plastic transition stresses in a thin rotating disc with rigid inclusion

by infinitesimal deformation under steady state Temperature,by infinitesimal deformation under steady state Temperature, Thermal Science InternationalThermal Science InternationalScientific JournalScientific Journal,, Belgrade, Serbia and MontenegroBelgrade, Serbia and Montenegro, Volume 14, Number 1, 2010, pp. 209-, Volume 14, Number 1, 2010, pp. 209-219,219,ISSNISSN:0354-9836 Impact Factor 0.62.:0354-9836 Impact Factor 0.62.

Pankaj ThakurPankaj Thakur, creep Transition Stresses in a thin rotating disc with shaft by finite, creep Transition Stresses in a thin rotating disc with shaft by finitedeformation under steady state temperature,deformation under steady state temperature,Thermal Science International ScientificThermal Science International ScientificJournalJournal,, Belgrade, SerbiaBelgrade, Serbia and Montenegro,Vol. 14, No.2, 2010, pp. 425-436,and Montenegro,Vol. 14, No.2, 2010, pp. 425-436, ISSNISSN:: 0354-0354-98369836,, Impact Factor 0.62 .Impact Factor 0.62 .

Pankaj Thakur,Pankaj Thakur, Elastic-plastic Transition stresses in a Spherical shell under internalElastic-plastic Transition stresses in a Spherical shell under internalpressure by using concept of Lebesgue measure, a text book edited by Dr Pankaj by VDMpressure by using concept of Lebesgue measure, a text book edited by Dr Pankaj by VDM

Publication, Germany, Aug. 2010.Publication, Germany, Aug. 2010. Pankaj Thakur,Pankaj Thakur, Creep Transition stresses in a Spherical shell under internal pressure byCreep Transition stresses in a Spherical shell under internal pressure by

using concept of Lebesgue measure a text book edited by Dr Pankaj by VDM Publication ,using concept of Lebesgue measure a text book edited by Dr Pankaj by VDM Publication ,Germany, Aug. 2010, ISBN: 978-3-8383-8985-1.Germany, Aug. 2010, ISBN: 978-3-8383-8985-1.

Pankaj thakurPankaj thakur, Elastic-Plastic Deformation of a Thin Rotating Disk of Exponentially Varying, Elastic-Plastic Deformation of a Thin Rotating Disk of Exponentially VaryingThickness with Edge Load and Inclusion a text book edited by Dr Pankaj by LAP academicThickness with Edge Load and Inclusion a text book edited by Dr Pankaj by LAP academicPublication , Germany, Aug. 2010, ISBN: 978-3-8383-8985-1.Publication , Germany, Aug. 2010, ISBN: 978-3-8383-8985-1.
http://dx.doi.org/10.2298/TSCI090715041Phttp://dx.doi.org/10.2298/TSCI090715041Phttp://dx.doi.org/10.2298/TSCI090715041P


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in Year 2009(5)in Year 2009(5) Pankaj ThakurPankaj Thakur, Elastic - Plastic Transition Stresses in a transversely isotropic Thick, Elastic - Plastic Transition Stresses in a transversely isotropic Thick

-walled Cylinder subjected to internal Pressure and steady - state Temperature,-walled Cylinder subjected to internal Pressure and steady - state Temperature, ThermalThermal

Science International Scientific JournalScience International Scientific Journal,, Belgrade, SerbiaBelgrade, Serbia and Montenegro, Published inand Montenegro, Published in

Volume 13, Number 4, 2009, pp. 107-118,Volume 13, Number 4, 2009, pp. 107-118, ISSN:ISSN:0354-98360354-9836,, Impact Factor 0.62.Impact Factor 0.62.

PankajPankaj, Elastic-plastic transition stresses in an isotropic disc having variable thickness, Elastic-plastic transition stresses in an isotropic disc having variable thickness

subjected to internal pressure,subjected to internal pressure, International journal of Physical ScienceInternational journal of Physical Science,,African JournalAfrican Journal,,Volume 4, Number 5, 2009, pp. 336-342,Volume 4, Number 5, 2009, pp. 336-342, ISSNISSN: 1992-1950 2009 Academic Journals,: 1992-1950 2009 Academic Journals,

Impact Factor 0.554.Impact Factor 0.554.

Pankaj,Gaurav Sharma, CPankaj,Gaurav Sharma, Creep transition stresses in thick walled rotating cylinder byreep transition stresses in thick walled rotating cylinder by

finitesimal deformation under steady state temperature,finitesimal deformation under steady state temperature, International Journal of MechanicsInternational Journal of Mechanics

and Solidsand Solids,, IndiaIndia, Volume 4, Number 1, 2009, pp. 39-44,, Volume 4, Number 1, 2009, pp. 39-44, ISSN:ISSN: 0973-1881 .0973-1881 .

Pankaj Thakur,Pankaj Thakur, Elastic - Plastic Transition in a Thin Rotating Disc having variable densityElastic - Plastic Transition in a Thin Rotating Disc having variable density

with Inclusion,with Inclusion, Structural Integrity and life, SerbiaStructural Integrity and life, Serbia , Volume 9, Number 3, 2009, pp., Volume 9, Number 3, 2009, pp.171-179,171-179, ISSN:ISSN:1451-37491451-3749((tampano izdanjetampano izdanje) (printed edition),) (printed edition),EISSN:EISSN:1820-78631820-7863..

Pankaj thakur, Elastic-plastic transition stresses in an isotropic disc havingPankaj thakur, Elastic-plastic transition stresses in an isotropic disc having

variable thickness subjected to internal pressure,variable thickness subjected to internal pressure, Structural Integrity and life,Structural Integrity and life,

SerbiaSerbia , Volume 9, Number 2, 2009, pp. 125-132, ISSN:1451-3749 (, Volume 9, Number 2, 2009, pp. 125-132, ISSN:1451-3749 (tampano izdanjetampano izdanje))

(printed edition),EISSN:1820-7863(printed edition),EISSN:1820-7863


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in Year 2008in Year 2008 (8)(8) PankajPankajand Sonia. R.Band Sonia. R.B., Elastic-Plastic Transition in a Thin Rotating Disc with inclusion,., Elastic-Plastic Transition in a Thin Rotating Disc with inclusion, InternationalInternationalJournal of Mathematical, Physical and Engineering ScienceJournal of Mathematical, Physical and Engineering Science,, EuropeEurope, Volume 2, Number 3, 2008, pp. 150, Volume 2, Number 3, 2008, pp. 150-154,-154, ISSNISSN:: 2070-3880.2070-3880.

Pankaj and Sonia. R.B.Pankaj and Sonia. R.B., Creep Transition in a Thin Rotating Disc having variable density with Inclusion,, Creep Transition in a Thin Rotating Disc having variable density with Inclusion,International Journal of Mathematical, Physical and Engineering ScienceInternational Journal of Mathematical, Physical and Engineering Science,, EuropeEurope , Volume 2, Number 3,, Volume 2, Number 3,2008, pp. 140 -149,2008, pp. 140 -149, ISSNISSN:: 2070-38802070-3880..

S.K. Gupta and PankajS.K. Gupta and Pankaj, Creep Transition in an isotropic disc having variable thickness subjected to, Creep Transition in an isotropic disc having variable thickness subjected tointernal pressure,internal pressure, Proceeding National Academy of ScienceProceeding National Academy of Science,, India,India,Section- A,Section- A,Volume 78Volume 78,, Part-1, 2008, pp.Part-1, 2008, pp.

57-66,57-66, ISSNISSN: 0370-0046, impact factors 0.210.: 0370-0046, impact factors 0.210. Pankaj and S.K. GuptaPankaj and S.K. Gupta, Elastic-plastic Rotating Disc with rigid inclusion under Steady State Temperature,, Elastic-plastic Rotating Disc with rigid inclusion under Steady State Temperature,

Accepted for publication,Accepted for publication, Ganita,Ganita, India,India, ISSN:ISSN: 0046-5402, 2008.0046-5402, 2008. Pankaj and Sonia. R.B.,Pankaj and Sonia. R.B., Creep Transition in a Thin Rotating Disc having variable density with Inclusion,Creep Transition in a Thin Rotating Disc having variable density with Inclusion,

World Academy of Science, Engineering and TechnologyWorld Academy of Science, Engineering and Technology,, Rome, ItalyRome, Italy,,Vol. 38, April 2008, pp. 33-42,Vol. 38, April 2008, pp. 33-42,ISSNISSN:: 0976 5697.0976 5697.

PankajPankaj, Thermo Creep Transition in a Thin Rotating Disc with Inclusion,, Thermo Creep Transition in a Thin Rotating Disc with Inclusion, National Conference onNational Conference onMechanism Science and Technologies: from Theory to Applications in Mechanical Engineering Department-Mechanism Science and Technologies: from Theory to Applications in Mechanical Engineering Department-NCMSTA'08NCMSTA'08w.e.f. Nov. 13-14, Hamirpur, India, 2008, pp. 10.w.e.f. Nov. 13-14, Hamirpur, India, 2008, pp. 10.

Pankaj and Sonia. R.B.Pankaj and Sonia. R.B., Elastic-Plastic Transition in a Thin Rotating Disc with inclusion,, Elastic-Plastic Transition in a Thin Rotating Disc with inclusion, World Academy ofWorld Academy of

Science, Engineering and TechnologyScience, Engineering and Technology,, Rome, ItalyRome, Italy, Vol. 38, April, Vol. 38, April 2008, pp. 43-47,2008, pp. 43-47, ISSNISSN:: 0976 - 5697 .0976 - 5697 . PankajPankaj, Some problems in elastic-plastic and creep transition, Some problems in elastic-plastic and creep transition,, Mathematics Department , Himachal PradeshMathematics Department , Himachal Pradesh

University Shimla, 2007 , Indian Science Abstracts,University Shimla, 2007 , Indian Science Abstracts,Vol. 44,Vol. 44,No.13, July 1, 2008,No.13, July 1, 2008, ISSNISSN: 0019-6339: 0019-6339


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in Year 2007in Year 2007 (2)(2) Pankaj and S.K. GuptaPankaj and S.K. Gupta , Thermo Elastic - Plastic Transition in a Thin Rotating Disc with, Thermo Elastic - Plastic Transition in a Thin Rotating Disc with

Inclusion,Inclusion, Thermal Science International Scientific JournalThermal Science International Scientific Journal,, Belgrade, Serbia andBelgrade, Serbia and

MontenegroMontenegro, Volume 11, Number 1, 2007, pp. 103- 118,, Volume 11, Number 1, 2007, pp. 103- 118,ISSN:ISSN:0354-98360354-9836,, Impact FactorImpact Factor

0.501.0.501.

Pankaj and S.K. GuptaPankaj and S.K. Gupta, Creep Transition in a Thin Rotating Disc with rigid Inclusion,, Creep Transition in a Thin Rotating Disc with rigid Inclusion,

Defence Science JournalDefence Science Journal, India, Volume 57, Number 2, March 2007, pp. 185-195,, India, Volume 57, Number 2, March 2007, pp. 185-195, ISSNISSN::0011-748X , Impact Factor 0.237.0011-748X , Impact Factor 0.237.


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Paper comminuted forPaper comminuted for

publication (11)publication (11) Pankaj Thakur,Pankaj Thakur, Creep Transition Stresses in a thick walled rotating cylinder by finitesimal deformation underCreep Transition Stresses in a thick walled rotating cylinder by finitesimal deformation understeady state temperature, send for publication insteady state temperature, send for publication in International Journal of Theoretical and Applied MechanicsInternational Journal of Theoretical and Applied Mechanics,,U.S.A., 2009.U.S.A., 2009.

Pankaj Thakur,Pankaj Thakur, Elastic-plastic transition stresses in an isotropic disc having variable thickness subjected toElastic-plastic transition stresses in an isotropic disc having variable thickness subjected to

external pressure, send for publication .external pressure, send for publication .

Pankaj ThakurPankaj Thakur, Elastic-plastic transition stresses in flat disc having variable thickness subjected to internal, Elastic-plastic transition stresses in flat disc having variable thickness subjected to internal

pressure, send for publication.pressure, send for publication.

Pankaj ThakurPankaj Thakur, Elastic-plastic transition stresses in flat disc having variable thickness subjected to external, Elastic-plastic transition stresses in flat disc having variable thickness subjected to externalpressure send for publication.pressure send for publication.

Pankaj Thakur,Pankaj Thakur, Elastic-plastic transition stresses in an isotropic disc having variable thickness subjected toElastic-plastic transition stresses in an isotropic disc having variable thickness subjected to

internal pressure and external pressure, send for publication .internal pressure and external pressure, send for publication .

Pankaj ThakurPankaj Thakur, Creep transition stresses in an isotropic disc having variable thickness subjected to internal, Creep transition stresses in an isotropic disc having variable thickness subjected to internal

pressure, send for publication.pressure, send for publication.

Pankaj Thakur,Pankaj Thakur, Creep transition stresses in an isotropic disc having variable thickness subjected to internalCreep transition stresses in an isotropic disc having variable thickness subjected to internal

pressure and external pressure, send for publication .pressure and external pressure, send for publication .

Pankaj Thakur,Pankaj Thakur, Thermo Elastic - Plastic Transition in a Thin Rotating Disc having variable density withThermo Elastic - Plastic Transition in a Thin Rotating Disc having variable density withInclusion under process for publication .Inclusion under process for publication .

Pankaj Thakur,Pankaj Thakur, Creep Transition in a Thin Rotating Disc having variable density with Inclusion (in prog.).Creep Transition in a Thin Rotating Disc having variable density with Inclusion (in prog.).

Pankaj Thakur,Pankaj Thakur, Thermo Creep Transition in a Thin Rotating Disc having variable density with Inclusion (inThermo Creep Transition in a Thin Rotating Disc having variable density with Inclusion (in

prog.)prog.)

Pankaj Thakur,Pankaj Thakur, Thermo Elastic - Plastic Transition in a Thin Rotating Disc having variable density withThermo Elastic - Plastic Transition in a Thin Rotating Disc having variable density with

Inclusion (in prog.).Inclusion (in prog.).


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International & NationalInternational & NationalBooks PublishedBooks Published

Dr Pankaj, Some problem in Elastic plasticDr Pankaj, Some problem in Elastic plasticand Creep transition stresses in Mechanicaland Creep transition stresses in MechanicalEngineering, LAP Publication Germany, 2010,Engineering, LAP Publication Germany, 2010,

ISBN: 978-3-8383-8985-1, pp. 1-105.ISBN: 978-3-8383-8985-1, pp. 1-105. Dr Pankaj, Cylindrical and spherical ProblemsDr Pankaj, Cylindrical and spherical Problems

in Mechanical Engineering, VDM publication,in Mechanical Engineering, VDM publication,Germany, 2010, ISBN: 978-3-639-28629-8, pp.Germany, 2010, ISBN: 978-3-639-28629-8, pp.

1-45.1-45. Dr Pankaj, Applied Engineering mathematics-IDr Pankaj, Applied Engineering mathematics-I

(in press(in press Luxmi publicationLuxmi publication), India.), India.


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List of Candidates Supervised and Co-supervised in M. Phil. (13)ist of Candidates Supervised and Co-supervised in M. Phil. (13)1.1. Vikas Verma, Problem in creep transition in a thin Rotating Disc with rigid Inclusion,Vikas Verma, Problem in creep transition in a thin Rotating Disc with rigid Inclusion,

Periyar UniversityPeriyar University, 2007., 2007.

2.2. Sonia Rani, Problem of Creep Transition in a Thin Rotating Disc having variable densitySonia Rani, Problem of Creep Transition in a Thin Rotating Disc having variable density

with Inclusion,with Inclusion, Chaudhary Devi Lal UniversityChaudhary Devi Lal University, 2007., 2007.3.3. Sanjay Kumar, Problem in Elastic-Plastic Transition in a Thin Rotating Disc withSanjay Kumar, Problem in Elastic-Plastic Transition in a Thin Rotating Disc with

Inclusion,Inclusion, Vinayaka Mission UniversityVinayaka Mission University, 2008., 2008.

4.4. Lalit Kumar Gandhi, Problem of Elastic - plastic Transition in an isotropic disc havingLalit Kumar Gandhi, Problem of Elastic - plastic Transition in an isotropic disc havingvariable thicknessvariable thicknesssubjected to internal pressure,subjected to internal pressure, Vinayaka Mission UniversityVinayaka Mission University, 2008., 2008.

5.5. Desh Raj, Problem in Thermo Elastic-Plastic Transition in a Thin Rotating Disc withDesh Raj, Problem in Thermo Elastic-Plastic Transition in a Thin Rotating Disc withInclusion,Inclusion, Annamalai University Annamalai University, Directorate of Distance Education, Annamalainagar,, Directorate of Distance Education, Annamalainagar,2008.2008.

6.6.

Vijay Kumar, Problem in Elastic-Plastic Transition in a Thin Rotating Disc having variableVijay Kumar, Problem in Elastic-Plastic Transition in a Thin Rotating Disc having variabledensity with Inclusion,density with Inclusion, Vinayaka Mission UniversityVinayaka Mission University, 2009., 2009.

7.7. Renuka Sharma, Elastic-plastic transition in a thin rotating disc with inclusion by finiteRenuka Sharma, Elastic-plastic transition in a thin rotating disc with inclusion by finitedeformation under steady state temperature,deformation under steady state temperature, Vinayaka Mission UniversityVinayaka Mission University, 2009., 2009.

8.8. Kulwant singh, Elastic-plastic transition stresses in an isotropic disc subjected to internalKulwant singh, Elastic-plastic transition stresses in an isotropic disc subjected to internalpressure,pressure, Vinayaka Mission UniversityVinayaka Mission University, 2009., 2009.

9.9. Himanshu Dutt, Fabrication of thin films in ferrite research,Himanshu Dutt, Fabrication of thin films in ferrite research, Vinayaka Mission UniversityVinayaka Mission University,,2009.2009.

10.10. Pankaj, Thermo elastic plastic transition in a thin rotating disc with rigid shaft, 2010.Pankaj, Thermo elastic plastic transition in a thin rotating disc with rigid shaft, 2010.

11.11. Three candidates are in prog.Three candidates are in prog.


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List of Candidatesist of CandidatesSupervising in Ph.D.upervising in Ph.D.

Poonam Clair, Problem in Elastic Plastic and CreepPoonam Clair, Problem in Elastic Plastic and Creep

TransitionTransition P.T.U. JalandharP.T.U. Jalandhar, Punjab (Registered 2008)., Punjab (Registered 2008).

Jatender Kumar, Problem in Elastic-Plastic and Creep TransitionJatender Kumar, Problem in Elastic-Plastic and Creep Transition

in Disc ( in prog.),in Disc ( in prog.), P.T.U. JalandharP.T.U. Jalandhar2009.2009. Gaurav Kumar, Some problem in Elastic-plastic and CreepGaurav Kumar, Some problem in Elastic-plastic and Creep

Transition in Disc and Cylinder( in prog.)Transition in Disc and Cylinder( in prog.) P.T.U. JalandharP.T.U. Jalandhar2009.2009.


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IDENTIFICATION OF THEIDENTIFICATION OF THE

TRANSITION STATETRANSITION STATE When a material at a point has yielded, it is more reasonable to expect thatWhen a material at a point has yielded, it is more reasonable to expect that

the material at the neighboring points are on their way to yield, rather thanthe material at the neighboring points are on their way to yield, rather thanthey remain in the elastic state as completely opposed to the plastic statethey remain in the elastic state as completely opposed to the plastic stateof the nearby particle. As the plastic yielding of a material is aof the nearby particle. As the plastic yielding of a material is aconsequence of collapse of its internal or macroscopic structure, the plasticconsequence of collapse of its internal or macroscopic structure, the plasticyielding will be complete or partial depending on the existing physicalyielding will be complete or partial depending on the existing physicalconditions. This leads us again to the recognition of two material states: aconditions. This leads us again to the recognition of two material states: atransition state and a plastic state. There are different ways to explain howtransition state and a plastic state. There are different ways to explain howtransition may occur from a state A to another state B:transition may occur from a state A to another state B:

At transition, the differential system defining the elastic state A shouldAt transition, the differential system defining the elastic state A shouldattain some criticality or singularity.attain some criticality or singularity.

If we consider the plastic state B as an image of the elastic state A underIf we consider the plastic state B as an image of the elastic state A underthethe

transformation (X, Y, Z), (x, y, z) being the co-ordinates of a point in thetransformation (X, Y, Z), (x, y, z) being the co-ordinates of a point in theundeformed and deformed state, respectively. Then at transition, theundeformed and deformed state, respectively. Then at transition, theJacobian of the transformation should be zero or infinite. This means whenJacobian of the transformation should be zero or infinite. This means whentransition occurs, one-to-one correspondence between A and B notransition occurs, one-to-one correspondence between A and B nolonger holds.longer holds.


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Elastic-Plastic Transition in a ThinElastic-Plastic Transition in a Thin

RotatingRotating

Disc with Rigid ShaftDisc with Rigid Shaft

b b

a a

R

Rigid Shaft

z

(Angular speed)

Geometry of Rotating Disc with rigid shaftGeometry of Rotating Disc with rigid shaft

We consider a thin disc of constantWe consider a thin disc of constant

density with central bore of radiusdensity with central bore of radius aa

and external radiusand external radius bb. The annular disc. The annular disc

is mounted on a rigid shaft. The disc isis mounted on a rigid shaft. The disc is

rotating with angular velocity about anrotating with angular velocity about an

axis perpendicular to its plane andaxis perpendicular to its plane and

passed through the center. Thepassed through the center. The

thickness of disc is assumed to bethickness of disc is assumed to be

constant and is taken to be sufficientlyconstant and is taken to be sufficiently

small so that it is effectively in a statesmall so that it is effectively in a state

of plane stress, that is, the axial stressof plane stress, that is, the axial stress

is zero.is zero.


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Advantages of Rotating Disc indvantages of Rotating Disc inMechanical engineeringechanical engineering

Rotating disc form an essential part of the design of rotatingRotating disc form an essential part of the design of rotating

machinery, namely rotors, turbines, compressors, high speed gears,machinery, namely rotors, turbines, compressors, high speed gears,

flywheel and computers disc drive.flywheel and computers disc drive.


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ApplicationApplication These problems are useful in MechanicalThese problems are useful in Mechanical

EngineeringEngineering

MachineryMachinery Structural ApplicationStructural Application


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Many Author worked forany Author worked forthe problems in Rotatinghe problems in RotatingDiscisc Gamer. U.[1983, 1984, 1985]Gamer. U.[1983, 1984, 1985]

Gupta, S.K., Rana V.D., Shukla, R.K. Pathak Sonia,Gupta, S.K., Rana V.D., Shukla, R.K. Pathak Sonia,

Sharma Sanjeev [1982,1983, 1994, 1998, 2000]Sharma Sanjeev [1982,1983, 1994, 1998, 2000]

Guven, U, Altay, O., Parmaksizoglu, C. [ 1993, 1997,Guven, U, Altay, O., Parmaksizoglu, C. [ 1993, 1997,

1999]1999]


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Angular speed required for initial yielding at the internal surface of the rotating discAngular speed required for initial yielding at the internal surface of the rotating disc

with rigid Shaft along the radii ratiowith rigid Shaft along the radii ratio

It has been observed that the rotating disc made of incompressible material with rigid shaftIt has been observed that the rotating disc made of incompressible material with rigid shaft

required higher angular speed to yield at the internal surface as compared to disc made ofrequired higher angular speed to yield at the internal surface as compared to disc made of

compressible material and a much higher angular speed is required for higher value of radiicompressible material and a much higher angular speed is required for higher value of radii

ratio.ratio.

( C= 0, Incompressible Material)( C=0.25)

(C=0.5)

(C=0.75)

0

0.51

1.5

22.5

3

3.54

4.5

5

0 0.1 0.2 0.3 0.4 0.5R0=a/bR0=a/b

Angular speedAngular speed


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Stresses and Displacement at the elastic-plastic Transition state forStresses and Displacement at the elastic-plastic Transition state for

incompressible material c = 0.00incompressible material c = 0.00

It has been observed that the radial stress is maximum at the internalIt has been observed that the radial stress is maximum at the internalsurface.surface.

Displacement

CircumferentialStresses

RadialStresses

0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

0.5 0.6 0.7 0.8 0.9 1(R = r/b)

Stresses

andDispl a

cement

C = 0 Incompressible materialC = 0 Incompressible material


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Stresses and Displacement at the elastic-plastic Transition stateStresses and Displacement at the elastic-plastic Transition state

for incompressible material c = 0.25for incompressible material c = 0.25

With increase compressibility, the value of radial stresses decrease as compare toWith increase compressibility, the value of radial stresses decrease as compare to

incompressible material. But it is seen that radial stresses must be maximum at the internalincompressible material. But it is seen that radial stresses must be maximum at the internal

surfacesurface

Radial

Stresses

0

0.2

0.4

0.6

0.8

1

1.21.4

1.6

0.5 0.6 0.7 0.8 0.9 1

(R = r/b)

Stresses

an

dDispl a

cement

CircumferentialStresses

Displacement

C = 0.25 compressible materialC = 0.25 compressible material


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conclusionconclusion

It has been observed that the rotating disc withIt has been observed that the rotating disc with

rigid shaft and made of compressible materialrigid shaft and made of compressible materialrequires lesser angular speed to yield at therequires lesser angular speed to yield at the

internal surface where as it requires higherinternal surface where as it requires higher

percentage increase in angular speed topercentage increase in angular speed to

become fully plastic from its initial yielding asbecome fully plastic from its initial yielding ascompared to disc made of incompressiblecompared to disc made of incompressible

material.material.


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Referenceeference Seth, B.R.,Transition theory of Elastic- plastic deformation, CreepSeth, B.R.,Transition theory of Elastic- plastic deformation, Creep

and relaxation, Nature, 195(1962), pp. 896-897, 1962.and relaxation, Nature, 195(1962), pp. 896-897, 1962. Seth, B.R.,Measure concept inSeth, B.R.,Measure concept in MechanicsMechanics,, Int. J. Non-linearInt. J. Non-linear

MechMech.,vol. I(2), pp.35-40, 1966..,vol. I(2), pp.35-40, 1966.

Seth, B.R.,Transition condition, The yield condition,Seth, B.R.,Transition condition, The yield condition, Int. J.Int. J.Nonlinear MechanicsNonlinear Mechanics, vol. 5, pp. 279-285, 1970., vol. 5, pp. 279-285, 1970. Seth, B.R.,Creep Transition in Rotating Cylinder,Seth, B.R.,Creep Transition in Rotating Cylinder, J. Math. Phys.J. Math. Phys.

Sci.,Sci., vol. 8, pp. 1-5, 1974.vol. 8, pp. 1-5, 1974. Seth, B.R., An application of theory of finite strain, Proc. IndianSeth, B.R., An application of theory of finite strain, Proc. Indian

Academy of sci. parts-A, 9, pp. 17-19, 1959.Academy of sci. parts-A, 9, pp. 17-19, 1959.

Seth, B.R.,Transition phenomenon in physical problems, Bull. Cal.Seth, B.R.,Transition phenomenon in physical problems, Bull. Cal.Soc., 56, pp 83-89, 1965.Soc., 56, pp 83-89, 1965. Sokolnikoff, I. S. Mathematical theory of Elasticity, McGraw -HillSokolnikoff, I. S. Mathematical theory of Elasticity, McGraw -Hill

Book Co., Second Edition, New York, pp. 70-71, 1950.Book Co., Second Edition, New York, pp. 70-71, 1950.


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Timoshenko, S. P., Goodier, J. N., Theory of Elasticity, McGraw-Hill,Timoshenko, S. P., Goodier, J. N., Theory of Elasticity, McGraw-Hill,New York, USA,1951.New York, USA,1951.

Gupta S.K. and Dharmani, R.L., Creep transition in thick walledGupta S.K. and Dharmani, R.L., Creep transition in thick walledcylinder under internal Pressure,cylinder under internal Pressure, Z.A.M.MZ.A.M.M, vol. 59, pp. 517-, vol. 59, pp. 517-521,1979.521,1979.

Gamer, U. & Sayir, M., Elastic-plastic stress distribution in a rotatingGamer, U. & Sayir, M., Elastic-plastic stress distribution in a rotatingshaft, Z.A.M.P., 35, pp. 609-617, 1984.shaft, Z.A.M.P., 35, pp. 609-617, 1984.

Gamer, U., Trescas yield condition and the rotating disk,Journal ofGamer, U., Trescas yield condition and the rotating disk,Journal of

Applied Mechanics, ASME Trans., 50, pp. 676-678, 1983Applied Mechanics, ASME Trans., 50, pp. 676-678, 1983 Gamer, U.,Stress distribution in the rotating elastic-plastic disk,Gamer, U.,Stress distribution in the rotating elastic-plastic disk,

ZAMM, 65, T 139, 1985.ZAMM, 65, T 139, 1985. Guven, U., Elastic-plastic stress distribution in the rotating disc withGuven, U., Elastic-plastic stress distribution in the rotating disc with

variable thicknessArchive of Appl. Mech., 61, pp. 549-554, 1991.variable thicknessArchive of Appl. Mech., 61, pp. 549-554, 1991. Guven, U., Stresses in an elastic-plastic annular disk of variableGuven, U., Stresses in an elastic-plastic annular disk of variable

thickness under external pressure. Int. J. of solid Structure, vol. 30,thickness under external pressure. Int. J. of solid Structure, vol. 30,no. 5, pp 651-658, 1993.no. 5, pp 651-658, 1993.


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Guven, U.,& Altay, O., Elastic-plastic rotating solid disc with rigid casing,Guven, U.,& Altay, O., Elastic-plastic rotating solid disc with rigid casing,ZAMM, vol. 77, no. 11, pp. 867-870, 1997.ZAMM, vol. 77, no. 11, pp. 867-870, 1997.

Guven, U.,The fully plastic rotating disc with rigid inclusion, ZAMM, vol.Guven, U.,The fully plastic rotating disc with rigid inclusion, ZAMM, vol.9, pp. 714-716, 1997.9, pp. 714-716, 1997.

Guven, U.,Elastic-plastic rotating annular disc with rigid inclusion,Guven, U.,Elastic-plastic rotating annular disc with rigid inclusion,Mech,. Struct. And Mach. Vol. 17, no. 1, pp. 117-128, 1999.Mech,. Struct. And Mach. Vol. 17, no. 1, pp. 117-128, 1999.

Guven, U.,Parmaksizoglu, C. & Altay, O., Elastic-plastic rotating annularGuven, U.,Parmaksizoglu, C. & Altay, O., Elastic-plastic rotating annulardisc with rigid casing, ZAMM vol. 79, no. 7, pp 499-503, 1999.disc with rigid casing, ZAMM vol. 79, no. 7, pp 499-503, 1999.

S.K. Gupta and Sonia Pathak , Creep Transition in a thin Rotating DiscS.K. Gupta and Sonia Pathak , Creep Transition in a thin Rotating Discof variable density,of variable density, Defence Sci. JournalDefence Sci. Journal, vol. 50, pp.147-153,2000., vol. 50, pp.147-153,2000.

Gupta, S. K., Shukla, R. K., Elastic-Plastic Transi tion in a Thin RotatingGupta, S. K., Shukla, R. K., Elastic-Plastic Transi tion in a Thin RotatingDisc,Disc, Ganita, 45,Ganita, 45, (1994), pp. 78-85.(1994), pp. 78-85.


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Gupta, S. K., Shukla, R. K., Elastic-Plastic Transi tion in a ThinGupta, S. K., Shukla, R. K., Elastic-Plastic Transi tion in a ThinRotating Disc of variable thickess,Proc. Nat. Acad. Sci., India,Rotating Disc of variable thickess,Proc. Nat. Acad. Sci., India,64(A)4, pp. 479-488.64(A)4, pp. 479-488. Ganita, 45,Ganita, 45, (1994), pp. 78-85.(1994), pp. 78-85.

S.K. Gupta and Sonia Pathak ,Elastic-plastic transition in a thinS.K. Gupta and Sonia Pathak ,Elastic-plastic transition in a thinrotating disc havingrotating disc having variablevariable density with edge load, Proc. Nat.density with edge load, Proc. Nat.Acad. Sci., India, 70(A), I, pp. 75-86, 2000.Acad. Sci., India, 70(A), I, pp. 75-86, 2000.


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