Mathematical Preliminaries: Vector and Tensor Analysis -- Description of Motion -- Description of Tensor (Rate) in Convected Coordinate System -- Deformation/Rotation Tensors -- Stress Tensors and Conservation Laws -- Objectivity and Objective (Rate) Tensors -- Elastic Constitutive Equations -- Elastoplastic Constitutive Equations -- Unconventional Elastoplasticity Model: Subloading Surface model -- Cyclic Plasticity Model: Critical Reviews and Assessments -- Extended Subloading Surface Model -- Constitutive Equations of Metals -- Constitutive Equations of Soils -- Subloading-overstress model -- Subloading-Damage Model -- Subloading Phase-transformation Model -- Multiplicative Hyperelastic-based Plasticity with Subloading Surface Concept -- Viscoelastic-viscoplastic Model of Polymers -- Corotational Rate Tensors -- Localization of Deformation -- Hypoelastic- and Multiplicative Hyperelastic-based CrystalPlasticity -- Constitutive Equation for Friction: Subloading-friction Model.