Fundamentals of the Theory of PlasticityBased on the author's series of lectures at the Mechanics-Mathematics Faculty of the University of Leningrad, this text is primarily concerned with the plastic deformation of metals at normal temperatures, as applied to the strength of machines and structures. Its focus on delivering a simple presentation of the basic equations of plasticity theory encompasses the best-developed methods for solving the equations; it also considers problems associated with the special nature of plastic state and the most important engineering applications of plasticity theory. |
Contents
Basic Concepts in the Mechanics of Continuous Media | 5 |
Equations of the Plastic State | 31 |
Equations of ElasticPlastic Equilibrium The Simplest Problems | 95 |
Torsion | 123 |
Plane Strain | 145 |
Plane Stress | 256 |
Axisymmetric Strain | 293 |
Extremum Principles and Energy Methods | 324 |
Theory of Shakedown | 380 |
Stability of ElasticPlastic Equilibrium | 396 |
Dynamical Problems | 422 |
Composite Media ViscoPlasticity | 453 |