Titlebook: Mathematical Modeling of Dislocation Behavior and Its Application to Crystal Plasticity Analysis; Tetsuya Ohashi Book 2024 The Editor(s) (

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Mathematical Framework of Crystal Plasticity Analysis Constructed by Hill and Implementation of DisThe constitutive equation of the crystal plasticity analysis constructed by Hill is presented and the hardening matrix used in the equation is quantified by the models for the behavior of dislocations.

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Tetsuya OhashiApproaches theory of plastic slip deformation through simple intuitive physical pictures without too many math-oriented terms.This book connects solid mechanics and materials sciences with mathematica

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Introduction,mathematical modelling of the physical elementary processes of plastic deformation serves as a link between the two. In this chapter, we briefly review the history of this research until now and indicate the direction of this book.

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Mathematical Modeling of Dislocation Behavior and Its Application to Crystal Plasticity Analysis

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2573-3168 olid mechanics and materials science by providing clear physical pictures and mathematical models of plastic slip deformation and the accumulation of dislocations and atomic vacancies in metallic materials. .Both .monotonic and cyclic loading cases are considered. .. .978-3-031-37895-9978-3-031-37893-5Series ISSN 2573-3168 Series E-ISSN 2573-3176