Elastoplastic Modeling

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1st Edition 

by Jean Salencon (Translator) 

The book’s purpose is that of a basic textbook for practical applications, and, as such, the chosen didactic approach tries to avoid excessive mathematical developments, although it does acknowledge the functional analysis results for the proofs of existence and uniqueness theorems. It adopts a semiphenomenological approach, where mathematical modeling is driven by and derived from experimental observations2, and follows a logical track starting from material behavior modeling (Chapters 1–3), leading to the analysis of the anelastic response, in terms of global loading and kinematic parameters, of systems subjected to quasi-static loading processes (Chapters 4–6). 

With the intention of proposing an introduction to elastoplastic modeling of materials and structures, we thought that the book should concentrate on fundamental concepts and theoretical results, and was not the place for going into details about numerical analysis technicalities and computational algorithms, whose explicit description can be found in up-to-date literature. 

More than 300 references (textbooks, papers, etc.) are listed in the bibliography, where we tried to enhance seminal historical contributions that help explain the current state of classical elastoplastic modeling and show how the theory of plasticity, driven by practical applications, has evolved. This is an opportunity to recall that, from an engineering viewpoint, the mathematical sophistication of solutions must always be put in balance with physical relevance of underlying theories.