The Theory of Plasticity: A Survey of Recent Achievements

TLDR

Recent changes in structural stability theory for plastic behavior are noted. The lecture surveys recent achievements in plasticity theory, emphasizing mechanical engineering applications and indicating forthcoming developments. Kinematic models, limit analysis theorems, shakedown analysis, large plastic deformation problems, and applications to metal forming, impact testing, and blast damage are presented.

Abstract

After a brief historical introduction, recent achievements in the theory of plasticity are surveyed with emphasis on applications in mechanical engineering. Kinematic models are presented that indicate the complexities of mechanical behaviour in the plastic range. The fundamental theorems of limit analysis are discussed, and their application to two- and three-dimensional problems is illustrated by examples. Shakedown analysis and limit design are defined. Problems involving large plastic deformations are discussed with special reference to metal forming processes. Applications of the theory of plasticity to impact testing and blast damage are reviewed. Recent changes in the theory of structural stability in the plastic range are mentioned. Throughout the lecture, impending developments of the theory of plasticity are indicated.