Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity - 1st Edition - ISBN: 9780128194287

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity

1st Edition

Multiplicative Decomposition with Subloading Surface Model

Authors: Koichi Hashiguchi
Paperback ISBN: 9780128194287
Imprint: Elsevier
Published Date: 1st June 2020
Page Count: 300
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Description

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity: Multiplicative Decomposition with Subloading Surface Model empowers readers to fully understand the constitutive equation of finite strain, an essential piece in assessing the strength of materials and safety of structures. The book starts with a foundational overview of continuum mechanics and plasticity, but then segues into more complex topics, including multiplicative decomposition, the isoclinic concept, subloading surface modeling techniques and other approaches. The development of hyperelastic and elastoplastic constitutive equations are outlined, as are both deformation rate and stress tensors. The book concludes with examples of these concepts and modeling techniques being deployed in real-world scenarios.

Key Features

  • Covers both the fundamentals of continuum mechanics and plasticity while also introducing readers to more advanced topics such as the subloading surface model, multiplicative decomposition, and the isoclinic concept, among others
  • Provides a thorough introduction to complex tensorial formulation details for multiplicative decomposition of the deformation gradient
  • Covers precise elastoplastic constitutive equations based on subloading surface and subloading friction models

Readership

Researchers in mechanical, civil, and aeronautic engineering

Table of Contents

  1. Mathematical Basics
    2. General (Curvilinear) Coordinate System
    3. Description of Deformation/Rotation in Convected Coordinate System
    4. Deformation/Rotation (Rate) Tensors
    5. Conservation Laws and Stress Tensors
    6. Hyperelastic Equations
    7. Development of Elastoplastic Constitutive Equations
    8. Multiplicative Decomposition of Deformation Gradient Tensor

Details

No. of pages:
300
Language:
English
Copyright:
© Elsevier 2020
Published:
1st June 2020
Imprint:
Elsevier
Paperback ISBN:
9780128194287

About the Author

Koichi Hashiguchi

Dr. Hashiguchi is currently a technical adviser to MSC Software Corporation and an Emeritus Professor at Kyushu University. He is the author of over 100 peer-reviewed journal papers, a fellow of the Japan Society of Mechanical 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.

Affiliations and Expertise

Chuo-ku, Fukuoka, Kuromon, Japan

Ratings and Reviews