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PrefaceThe past few decades have seen a great upsurge in research in the area of elastoplastic modeling of solids, porous materials and structures. While research continues on more challenging topics, a certain degree of maturity has been reached on the basic principles of elasto-plastic numerical modeling. Understanding the basics of elasto-plastic modeling requires knowledge in a number of rather diverse areas such as continuum mechanics, finite element method, theories of elasticity and plasticity and integration of rate constitutive equations. The objectives of this book are (a) to provide in a single volume a detailed coverage of all necessary topics, (b) to develop the theories from the basic-level mathematics, mechanics and physics, (c) to cover the topics thoroughly, (d) to provide opportunity for the reader to develop hands-on experience and (e) to present adequate amount of numerical examples for the reader to develop a feel for the theories and to verify their own analysis results. In achieving these ambitious set of objectives, certain topics had to be excluded. For example, the consideration of large deformation, bifurcation, shear localization, gradient plasticity, damage models and contact problems have been omitted.The book is intended to be a text book. Each chapter accompanies a set of problems. The level of presentation is aimed at graduate students. However, the style of presentation should allow undergraduate students to grasp the material as well. The material in the book is suitable for a number of different graduate-level courses, including, for instance, (a) computational plasticity, (b) numerical modeling in engineering, (c) finite element modeling and (d) theory of plasticity. It is left to the course instructor to select the topics to serve the course at hand. The book should serve courses in various engineering disciplines such as mechanical engineering, aerospace engineering, structural engineering, geotechnical engineering and geological engineering.Chapter 1 presents an introduction to modeling. The mathematical and mechanics principles are presented in Chap. 2. The governing equations concerning the load-deformation problems of solids are covered in Chap. 3. The elastic constitutive laws for isotropic and anisotropic solids are described in Chap. 4. The finite v element method for solving the load-deformation behavior of solids and structures is the subject of Chap. 5. The gove...
