Elasticity and Plasticity The Mathematical Theory of Elasticity and The Mathematical Theory of Plasticity

by Goodier, J. N.; Hodge, Jr., P. G.

• ISBN13: 9780486806044
• ISBN10: 0486806049
• eBook ISBN(s): 9780486810478
• Edition: 1st
• Format: Paperback
• Copyright: 2016-04-21
• Publisher: Dover Publications
• More Book Details

Summary

This volume comprises two classic essays on the mathematical theories of elasticity and plasticity by authorities in this area of engineering science. Undergraduate and graduate students in engineering as well as professional engineers will find these works excellent texts and references.
The Mathematical Theory of Elasticity covers plane stress and plane strain in the isotropic medium, holes and fillets of assignable shapes, approximate conformal mapping, reinforcement of holes, mixed boundary value problems, the third fundamental problem in two dimensions, eigensolutions for plane and axisymmetric states, anisotropic elasticity, thermal stress, elastic waves induced by thermal shock, three-dimensional contact problems, wave propagation, traveling loads and sources of disturbance, diffraction, and pulse propagation. The Mathematical Theory of Plasticity explores the theory of perfectly plastic solids, the theory of strain-hardening plastic solids, piecewise linear plasticity, minimum principles of plasticity, bending of a circular plate, and other problems.

Author Biography

James Norman Goodier (1905–69) was Professor of Applied Mechanics at Stanford University, working in the fields of elasticity and plastic deformation. His several books on elasticity and related subjects include Theory of Elasticity, third edition, with S. P. Timoshenko.
Engineer Philip Gibson Hodge (1920–2014) taught at several universities, including the Illinois Institute of Technology and the University of Minnesota. He wrote many books on plasticity, including Theory of Perfectly Plastic Solids with William Prager.

Table of Contents

The Mathematical Theory of Elasticity

1. Introduction. Scope and Intention

2. Plane Stress and Plane Strain in the Isotropic Medium

3. Holes and Fillets of Assignable Shapes. Approximate Conformal Mapping

4. Reinforcement of Holes

5. Mixed Boundary Value Problems. The Third Fundamental Problem in Two Dimensions

6. Eigensolutions for Plane and Axisymmetric States

7. Anisotropic Elasticity

8. Thermal Stress. Elastic Waves Induced by Thermal Shock

9. Three-DimensionalContact Problems

10. Wave Propagation. Traveling Loads and Sources of Disturbance

11. Diffraction. Pulse Propagation

13. Concluding Notes

Bibliography

 

The Mathematical Theory of Plasticity

1. Theory of Perfectly Plastic Solids

2.. Theory of Strain-Hardening Plastic Solids

3. Piecewise Linear Plasticity

4. Minimum Principles of Plasticity

5. Bending of a Circular Plate

6. Other Problems

7. Russian Contributions

Author Index

Subject Index