Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity: Multiplicative Decomposition with Subloading Surface Model

by Koichi Hashiguchi

Overview

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity empowers readers to fully understand the constitutive equation of finite strain, an essential piece in assessing the deformation/strength of materials and safety of structures. The book starts by providing a foundational overview of continuum mechanics, elasticity and plasticity, then segues into more sophisticated topics such as multiplicative decomposition of deformation gradient tensor with the isoclinic concept and the underlying subloading surface concept. The subloading surface concept insists that the plastic strain rate is not induced suddenly at the moment when the stress reaches the yield surface but it develops continuously as the stress approaches the yield surface, which is crucially important for the precise description of cyclic loading behavior. Then, the exact formulations of the elastoplastic and viscoplastic constitutive equations based on the multiplicative decomposition are expounded in great detail. The book concludes with examples of these concepts and modeling techniques being deployed in real-world applications. Table of Contents:1. Mathematical Basics2. General (Curvilinear) Coordinate System3. Description of Deformation/Rotation in Convected Coordinate System4. Deformation/Rotation (Rate) Tensors5. Conservation Laws and Stress Tensors6. Hyperelastic Equations7. Development of Elastoplastic Constitutive Equations8. Multiplicative Decomposition of Deformation Gradient Tensor9. Multiplicative Hyperelastic-based Plastic and Viscoplastic Constitutive Equations10. Friction Model: Finite Sliding Theory

Product Details

ISBN-13:	9780128194287
Publisher:	Elsevier Science
Publication date:	06/19/2020
Pages:	420
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Dr. Koichi Hashiguchi is currently a technical adviser of MSC Software Corporation and an Emeritus Professor at Kyushu University. He is the author of over 100 peer-reviewed journal papers, fellows of the Japan Society of Mechanical Engineers and of Civil Engineers, an Honorary Member of the Japanese Geotechnical Society, and also a Member of the Engineering Academy of Japan. He has additionally authored or co-authored 4 books.

Table of Contents

1. Mathematical Basics2. General (Curvilinear) Coordinate System3. Description of Deformation/Rotation in Convected Coordinate System4. Deformation/Rotation (Rate) Tensors5. Conservation Laws and Stress Tensors6. Hyperelastic Equations7. Development of Elastoplastic Constitutive Equations8. Multiplicative Decomposition of Deformation Gradient Tensor9. Multiplicative Hyperelastic-based Plastic and Viscoplastic Constitutive Equations10. Friction Model: Finite Sliding Theory

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From the Publisher

Covers the fundamentals of continuum mechanics and plasticity, subloading surface models, multiplicative decomposition, and the isoclinic concept