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NPTEL Syllabus

Mechanical Behavior of Materials- Web course

COURSE OUTLINE

This is a course for undergraduates dealing with themechanical behaviour of metals, ceramics, polymers andcomposites. As we work on scaling things down to nano-scales or try to come up with multi-functional materials, theymust hold together physically to be useful. So this coursefocuses on the origins of stresses and strains in materials andthe resulting deformation/fracture response.

ContentsIntroduction to deformation behaviour: Concept of stressesand strains, engineering stresses and strains, Different types ofloading and temperature encountered in applications, TensileTest - stress-strain response for metal, ceramic and polymer,elastic region, yield point, plastic deformation, necking andfracture, Bonding and Material Behaviour, theoretical estimatesof yield strength in metals and ceramics.

Elasticity Theory: The State of Stress and strain, stress andstrain tensor, tensor transformation, principal stress and strain,elastic stress-strain relation, anisotropy, elastic behaviour ofmetals, ceramics and polymers.

Yielding and Plastic Deformation: Hydrostatic and Deviatoricstress, Octahedral stress, yield criteria and yield surface,texture and distortion of yield surface, Limitation of engineeringstrain at large deformation, true stress and true strain, effectivestress, effective strain, flow rules, strain hardening, Ramberg-Osgood equation, stress -strain relation in plasticity, plasticdeformation of metals and polymers

Microscopic view of plastic deformation: crystals anddefects, classification of defects, thermodynamics of defects,geometry of dislocations, slip and glide, dislocation generation -Frank Read and grain boundary sources, stress and strain fieldaround dislocations, force on dislocation - self-stress,dislocation interactions, partial dislocations, twinning, dislocationmovement and strain rate, deformation behavior of singlecrystal, critical resolved shear stress (CRSS), deformation ofpoly-crystals - Hall-Petch and other hardening mechanisms,grain size effect - source limited plasticity, Hall-Petchbreakdown, dislocations in ceramics and glasses.

Fracture: fracture in ceramics, polymers and metals, different

NPTELhttp://nptel.ac.in

Metallurgy andMaterial Science

Pre-requisites:

Structure of Materials

Additional Reading:

1. J. Roesler, H. Harders,and M. Baeker,"Mechanical Behaviourof Engineering Materials:Metals, Ceramics,Polymers, andComposites", Springer-

Verlag, 2007.2. W.K. Liu, E.G. Karpov,

H.S. Park, "NanoMechanics andMaterials", John Wileyand Sons Pvt. Ltd, 2006.

3. Thomas H. Courtney,"Mechanical Behavior ofMaterials", McGraw-Hill,

1990.

Coordinators:

Dr. Prita Pant

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types of fractures in metals, fracture mechanics - Linearfracture mechanics -KIC, elasto-plastic fracture mechanics -JIC, Measurement and ASTM standards, Design based onfracture mechanics, effect of environment, effect ofmicrostructure on KIC and JIC, application of fracturemechanics in the design of metals, ceramics and polymers

Deformation under cyclic load - Fatigue: S-N curves, Low

and high cycle fatigue, Life cycle prediction, Fatigue in metals,ceramics and polymers

Deformation at High temperature: Time dependentdeformation - creep, different stages of creep, creep and stressrupture, creep mechanisms and creep mechanism maps,creep under multi-axial loading, microstructural aspects ofcreep and design of creep resistant alloys, high temperaturedeformation of ceramics and polymers

COURSE DETAIL

Sl.No

Topic Numberof Hours

1. Introduction to deformationbehaviour : Concept of stresses andstrains, engineering stresses andstrains, Different types of loading andtemperature encountered inapplications, Tensile Test - stress - strainresponse for metal, ceramic andpolymer, elastic region, yield point, plasticdeformation, necking and fracture,Bonding and Material Behaviour,theoretical estimates of yield strength inmetals and ceramics.

5

2. Elasticity Theory : The State of Stressand strain, stress and strain tensor,tensor transformation, principal stressand strain, elastic stress-strain relation,anisotropy, elastic behaviour of metals,ceramics and polymers.

4

3. Yielding and Plastic Deformation :Hydrostatic and Deviatoric stress,

Octahedral stress, yield criteria and yieldsurface, texture and distortion of yieldsurface, Limitation of engineering strainat large deformation, true stress and truestrain, effective stress, effective strain,

8

epartment o eta urg caEngineering and MaterialsScienceIIT Bombay

Dr. S. RayDepartment of Metallurgicaland Materials EngineeringIITRoorkee

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flow rules, strain hardening, Ramberg-Osgood equation, stress - strain relationin plasticity, plastic deformation of metalsand polymers

4. Microscopic view of plasticdeformation : crystals and defects,classification of defects,thermodynamics of defects, geometry ofdislocations, slip and glide, dislocationgeneration - Frank Read and grainboundary sources, stress and strain fieldaround dislocations, force on dislocation- self-stress, dislocation interactions,partial dislocations, twinning, dislocationmovement and strain rate, deformationbehavior of single crystal, critical

resolved shear stress (CRSS),deformation of poly-crystals - Hall-Petchand other hardening mechanisms, grainsize effect - source limited plasticity, Hall-Petch breakdown, dislocations inceramics and glasses.

8

5. Fracture : fracture in ceramics, polymersand metals, different types of fractures inmetals, fracture mechanics - Linearfracture mechanics -KIC, elasto-plasticfracture mechanics - JIC, Measurementand ASTM standards, Design based onfracture mechanics, effect ofenvironment, effect of microstructure onKIC and JIC, application of fracturemechanics in the design of metals,ceramics and polymers.

5

6. Deformation under cyclic load -Fatigue : S-N curves, Low and high cyclefatigue, Life cycle prediction, Fatigue inmetals, ceramics and polymers.

2

7. Deformation at High temperature :Time dependent deformation - creep,different stages of creep, creep andstress rupture, creep mechanisms and

creep mechanism maps, creep undermulti-axial loading, microstructuralaspects of creep and design of creepresistant alloys, high temperaturedeformation of ceramics and polymers.

6

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References:

1. G.E. Dieter, "Mechanical Metallurgy", McGraw-Hill, 1986.

2. R.W. Hertzberg, "Deformation and Fracture Mechanics ofEngineering Materials", John Wiley and Sons, 1976.

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