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 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 9.
Multiplicative Hyperelastic-based Plastic and Viscoplastic
Constitutive Equations 10. Friction Model: Finite Sliding Theory
General
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