1 Jiangyu Li, University of Washington

Lecture 23Plasticity

Mechanical Behavior of Materials Sec. 12.1-12.5

Jiangyu LiUniversity of Washington

Mechanics of Materials Lab

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Secant Modulus

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Stress-Strain Curve

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Deformation Plasticity Theory

Axial and torsion

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Example

• Consider a material with a uniaixal stress-strain curve of the Ramberg-Osgood form, and the case of axissymmetric loading: 2=3=– Derive 1 as a function of and material constants

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Rheological Modeling of Nonlinear Hardening

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Loading-Unloading

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Loading-Unloading

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Comparison

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Cyclic Loading

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Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Third Edition,by Norman E. Dowling. ISBN 0-13-186312-6.

© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s),

write to: Rights and Permissions Department, Pearson Education Inc., Upper Saddle river, NJ 07458.

12 Jiangyu Li, University of Washington

Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Third Edition,by Norman E. Dowling. ISBN 0-13-186312-6.

© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s),

write to: Rights and Permissions Department, Pearson Education Inc., Upper Saddle river, NJ 07458.

13 Jiangyu Li, University of Washington

Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Third Edition,by Norman E. Dowling. ISBN 0-13-186312-6.

© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s),

write to: Rights and Permissions Department, Pearson Education Inc., Upper Saddle river, NJ 07458.

14 Jiangyu Li, University of Washington

Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Third Edition,by Norman E. Dowling. ISBN 0-13-186312-6.

© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s),

write to: Rights and Permissions Department, Pearson Education Inc., Upper Saddle river, NJ 07458.

15 Jiangyu Li, University of Washington

Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Third Edition,by Norman E. Dowling. ISBN 0-13-186312-6.

© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s),

write to: Rights and Permissions Department, Pearson Education Inc., Upper Saddle river, NJ 07458.

16 Jiangyu Li, University of Washington

Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Third Edition,by Norman E. Dowling. ISBN 0-13-186312-6.

© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s),

write to: Rights and Permissions Department, Pearson Education Inc., Upper Saddle river, NJ 07458.

17 Jiangyu Li, University of Washington

Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Third Edition,by Norman E. Dowling. ISBN 0-13-186312-6.

© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s),

write to: Rights and Permissions Department, Pearson Education Inc., Upper Saddle river, NJ 07458.

18 Jiangyu Li, University of Washington

Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Third Edition,by Norman E. Dowling. ISBN 0-13-186312-6.

© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s),

write to: Rights and Permissions Department, Pearson Education Inc., Upper Saddle river, NJ 07458.

19 Jiangyu Li, University of Washington

Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Third Edition,by Norman E. Dowling. ISBN 0-13-186312-6.

© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s),

write to: Rights and Permissions Department, Pearson Education Inc., Upper Saddle river, NJ 07458.

20 Jiangyu Li, University of Washington

Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Third Edition,by Norman E. Dowling. ISBN 0-13-186312-6.

© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s),

write to: Rights and Permissions Department, Pearson Education Inc., Upper Saddle river, NJ 07458.

21 Jiangyu Li, University of Washington

Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Third Edition,by Norman E. Dowling. ISBN 0-13-186312-6.

© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s),

write to: Rights and Permissions Department, Pearson Education Inc., Upper Saddle river, NJ 07458.

22 Jiangyu Li, University of Washington

Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Third Edition,by Norman E. Dowling. ISBN 0-13-186312-6.

© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s),

write to: Rights and Permissions Department, Pearson Education Inc., Upper Saddle river, NJ 07458.

23 Jiangyu Li, University of Washington

Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Third Edition,by Norman E. Dowling. ISBN 0-13-186312-6.

© 2007 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s),

write to: Rights and Permissions Department, Pearson Education Inc., Upper Saddle river, NJ 07458.

24 Jiangyu Li, University of Washington

25 Jiangyu Li, University of Washington

Assignment

Mechanical Behavior of Materials

12.12, 12.19