Understanding the elastoplastic deformation of metals and geomaterials, including the constitutive description of the materials and analysis of structure undergoing plastic deformation, is an essential part of the background required by mechanical, civil, and geotechnical engineers as well as materials scientists. However, most books address the subject at a introductory level and within the infinitesimal strain context. Elastoplasticity Theory takes a different approach in an advanced treatment presented entirely within the framework of finite deformation. This comprehensive, self-contained text includes an introduction to nonlinear continuum mechanics and nonlinear elasticity. In addition to in-depth analysis of the mathematical and physical theories of plasticity, it furnishes an up-to-date look at contemporary topics, such as plastic stability and localization, monocrystalline plasticity, micro-to-macro transition, and polycrysalline plasticity models. Elastoplasticity Theory reflects recent trends and advances made in the theory of plasticity over the last four decades. It will not only help stimulate further research in the field, but will enable its readers to confidently select the appropriate constitutive models for the materials or structural members relevant to their own applications.

Understanding the elastoplastic deformation of metals and geomaterials, including the constitutive description of the materials and analysis of structure undergoing plastic deformation, is an essential part of the background required by mechanical, civil, and geotechnical engineers as well as materials scientists. However, most books address the subject at a introductory level and within the infinitesimal strain context.

Elastoplasticity Theory takes a different approach in an advanced treatment presented entirely within the framework of finite deformation. This comprehensive, self-contained text includes an introduction to nonlinear continuum mechanics and nonlinear elasticity. In addition to in-depth analysis of the mathematical and physical theories of plasticity, it furnishes an up-to-date look at contemporary topics, such as plastic stability and localization, monocrystalline plasticity, micro-to-macro transition, and polycrysalline plasticity models.

Elastoplasticity Theory reflects recent trends and advances made in the theory of plasticity over the last four decades. It will not only help stimulate further research in the field, but will enable its readers to confidently select the appropriate constitutive models for the materials or structural members relevant to their own applications.

Based on class-tested material, this concise yet comprehensive treatment of the fundamentals of solid mechanics is ideal for those taking single-semester courses on the subject. It provides interdisciplinary coverage of the key topics, combining solid mechanics with structural design applications, mechanical behavior of materials, and the finite element method. Part I covers basic theory, including the analysis of stress and strain, Hooke's law, and the formulation of boundary-value problems in Cartesian and cylindrical coordinates. Part II covers applications, from solving boundary-value problems, to energy methods and failure criteria, two-dimensional plane stress and strain problems, antiplane shear, contact problems, and much more. With a wealth of solved examples, assigned exercises, and 130 homework problems, and a solutions manual available online, this is ideal for senior undergraduates studying solid mechanics, and graduates taking introductory courses in solid mechanics and theory of elasticity, across aerospace, civil and mechanical engineering, and materials science.