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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.
- 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
Researchers in mechanical, civil, and aeronautic engineering
- 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
- No. of pages:
- © Elsevier 2020
- 1st June 2020
- Paperback ISBN:
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.
Chuo-ku, Fukuoka, Kuromon, Japan