Computational Plasticity

Abstract

PrefaceComputational plasticity is a new and important branch of computational mechanics. Computational Plasticity: With Emphasis on the Application of the Unified Strength Theory and Associated Flow Rule is the third title in the series on plasticity published by Springer and by Springer or by the collabration of Springer and ZJU Press. The other two files are: Generalized Plasticity (Springer, Berlin, 2006) and Structural Plasticity: Limit, Shakedown and Dynamic Plastic Analyses of Structures (Springer and ZJU Press, Hangzhou, 2009). The founding work in this series on plasticity is Unified Strength Theory and its Applications that was published by Springer in Berlin in 2004, in which the unified strength theory (UST) and its 30 years developments history are described in detail.Generalized Plasticity, the first monograph in this series on plasticity, is a combination of traditional plasticity for metallic materials (non-SD materials) and plasticity for geomaterials (SD materials, i.e. strength difference in tension and in compression, sometimes referred to as tension-compression asymmetry). It was published by Springer in 2006, in which the unified slip line theory for plane strain problems and unified characteristics theory for plane stress and spatial axisymmetric problems, as well as the unified fracture criterion for mixed mode cracks and plastic zones at the tip of a crack using the unified strength theory are described. Generalized Plasticity can be used for both non-SD materials and SD materials. The time effect, however, is not taken into account in Generalized Plasticity. The time independent UST can be extended to time dependent UST.The second title in this series on plasticity is Structural Plasticity: Limit, Shakedown and Dynamic Plastic Analyses of Structures, which was published by ZJU Press and Springer in 2009. Structural Plasticity deals with limit analysis, shakedown analysis and dynamic plastic analyses of structures using the analytical method. The straight line segments on the series yield surfaces of the unified strength theory make these surfaces convenient for analytical treatment of plasticity problems. A series of results of the unified solutions for elastic and plastic limit analysis, shakedown analysis and dynamic plastic analysis for structures are given by using the unified strength theory. These unified solutions can provide a very useful tool for the design of engineering structures. Most solutions in textbooks regarding the plastic analysis of structures are special cases of the unified solution, using the unified strength theory. The third title in this series on plasticity is Computational Plasticity: With Emphasis on the Application of the Unified Strength Theory and Associated FlowRule, in which numerical methods are applied. The unified strength theory and associated flow rule are implemented in several computational plasticity codes and applied to many engineering problems.A series of results can be obtained in Generalized Plasticity (slip line theory), Structural Plast...