Foundations of Elastoplasticity: Subloading Surface Model

The book is a comprehensive guide to elastoplasticity/viscoplasticity, covering rate-independent to -dependent finite deformations of metals, soils, polymers, crystal plasticity, and friction. It explains vector-tensor analysis and continuum mechanics, and presents the subloading surface model, a unified equation for cyclic plasticity, quasi-static loading, dynamic and impact loading, and general rate of deformation. The model describes the smooth elastic-plastic transition, hyperelastic-based (visco)plasticity, and subloading-friction model for accurate descriptions of solids' deformation and sliding.

Format: Hardback
Length: 853 pages
Publication date: 13 June 2023
Publisher: Springer Nature Switzerland AG

This book is the standard text book for elastoplasticity/viscoplasticity, which comprehensively covers the rate-independent to -dependent finite deformations of metals, soils, polymers, crystal plasticity, etc. and the friction phenomenon. Concise explanations on vector-tensor analysis and continuum mechanics are provided first, covering the underlying physical concepts, such as various time-derivatives, pull-back and push-forward operations, work-conjugacy and multiplicative decomposition of deformation gradient tensor. Then, the rigorous elastoplastic/viscoplastic model, called the subloading surface model, is explained comprehensively, which is based on the subloading surface concept to describe the continuous development of the plastic/viscoplastic strain rate as the stress approaches the yield surface, while it can never be described by the other plasticity models, e.g. the Chaboche-Ohno and the Dafalias-Yoshida models assuming the purely-elastic domain. The main features of the subloading surface model are as follows: 1) The subloading surface concept underling the cyclic plasticity is introduced, which insists that the plastic deformation develops as the stress approaches the yield surface. Thus, the smooth elastic-plastic transition leading to the continuous variation of the tangent stiffness modulus is described always. 2) The subloading-overstress model is formulated by which the elastoplastic deformation during the quasi-static loading and the viscoplastic deformation during the dynamic and impact loading can be described by the unified equation. Then, only this model can be used to describe the deformation in the general rate of deformation, disusing the elastoplastic constitutive equation. 3) The hyperelastic-based constitutive model is formulated by which the hyperelastic strain energy function is used to describe the elastic deformation and the viscoplastic strain energy function is used to describe the viscoplastic deformation. Then, only this model can be used to describe the deformation in the general rate of deformation, disusing the elastoplastic constitutive equation.

Dimension: 235 x 155 (mm)
ISBN-13: 9783030931377
Edition number: 4th ed. 2023