Foundations of the Numerical Analysis of Plasticity

Mathematical Models of Elastic-Plastic Problems. Elastic-Plate Vibration of a Spring-Mass System with One Degree of Freedom. Elastic-Plastic Vibration of a Spring-Mass System with Multiple Degrees of Freedom. Quasi-Static Problems of a Spring-Mass System with Multiple Degrees of Freedom. Two-Dimensional Dynamic Semidiscrete System. Two-Dimensional Quasi-Static Semidiscrete System. Numerical Stability in Dynamic Elastic-Plastic Problems. Explicit Schemes for Quasi-Static Problems. Elastic-Plastic Deformation of Continuous Bodies. Introduction to an Elastic-Plastic Problem with Geometrical Nonlinearity. Appendices: An Elementary Proof of Koen's Inequality. Johnson's Implicit Method. References. Index.