Vector and Tensor Analysis
Motion and Strain (Rate)
Stress Tensors and Conservation Laws
Objectivity and Objective (Rate) Tensors
Elastic Constitutive Equations
Basic Formulations for Elastoplastic Constitutive Equations
Unconventional Elastoplasticity Model: Hashiguchi (Subloading Surface) Model
Cyclic Plasticity Model: Critical Reviews and Assessments
Extended Subloading Surface Model
Constitutive Equations of Metals
Constitutive Equations of Soils
Multiplicative Elastoplasticity: Subloading Finite Strain Theory
Subloading-Overstress model
Subloading-Damage Model
Subloading-Phase transformation model
Corotational Rate Tensor
Localization of Deformation
Constitutive Equation for Friction: Subloading-Friction Model
Subloading-Crystal Plasticity
Implicit Stress Integration: Return-Mapping and Consistent Tangent Modulus Tensor
On Formulations from Thermodynamic View-Point

This book is the standard text book of elastoplasticity in which the elastoplasticity theory is comprehensively described from the conventional theory for the monotonic loading to the unconventional theory for the cyclic loading behavior. Explanations of vector-tensor analysis and continuum mechanics are provided first as a foundation for elastoplasticity theory, covering various strain and stress measures and their rates with their objectivities. Elastoplasticity has been highly developed by the creation and formulation of the subloading surface model which is the unified fundamental law for irreversible mechanical phenomena in solids. The assumption that the interior of the yield surface is an elastic domain is excluded in order to describe the plastic strain rate due to the rate of stress inside the yield surface in this model aiming at the prediction of cyclic loading behavior, although the yield surface enclosing the elastic domain is assumed in all the elastoplastic models other than the subloading surface model. Then, the plastic strain rate develops continuously as the stress approaches the yield surface, providing the advantages: 1) The tangent modulus changes continuously, 2) The yield judgment whether the stress reaches the yield surface is not required, 3) The stress is automatically attracted to the yield surface even when it goes out from the yield surface by large loading increments in numerical calculation and 4) The finite strain theory based on the multiplicative decomposition of deformation gradient tensor is formulated exactly. Consequently, the monotonic, the cyclic, the non-proportional loading behaviors for wide classes of materials including soils, rocks and concretes in addition to metals can be described rigorously by the subloading surface model. Further, the viscoplastic constitutive equations in a general rate from the quasi-static to the impact loadings are described, and constitutive equations of friction behavior and its application to the prediction of stick-slip phenomena, etc. are also described in detail. In addition, the return-mapping algorithm, the consistent tangent modulus, etc. are explained for the numerical analyses. Further, the damage, the phase-transformation and the crystal plasticity models are also described in brief. All of them are based on the subloading surface model. The elastoplasticity analysis will be advanced steadily based on the subloading surface model