Liquefaction Analysis Using Viscoplastic Kinematic Hardening Constitutive Model

Antiplane Shear Flows in Viscoplastic Solids Exhibiting Isotropic and Kinematic Hardening

The authors consider antiplane shearing motions of an incompressible visco-plastic solid. The particular constitutive equation employed assumes that the stress tensor has an “elastic” component and a component which can exhibit hysteresis. The model exhibits both “kinematic” and “isotropic” hardening. Our results consist of a set of energy type estimates for the resulting system, L2 contractivi...

An Enhanced Viscoplastic Constitutive Model for Semi-Solid Materials to Analyze Shear Localization

Semi-solid materials undergo strain localization and shear band formation as a result of granular nature of semi-solid deformation. In the present study, to analyze the shear localization, a unified viscoplastic constitutive model was developed for the homogeneous flow. Then, a linearized analysis of the stability performed by examining the necessary condition for the perturbation growth. For t...

The Variational Formulation of Viscoplastic Constitutive Updates

We present a class of constitutive updates for general viscoplastic solids including such aspects of material behavior as nite elastic and plastic deformations, non-Newtonian viscosity, rate-sensitivity and arbitrary ow and hardening rules. The distinguishing characteristic of the proposed constitutive updates is that, by construction, the corresponding incremental stress-strain relations deriv...

The Variational Formulation of Viscoplastic Constitutive Updates

We present a class of constitutive updates for general viscoplastic solids including such aspects of material behavior as nite elastic and plastic deformations, non-Newtonian viscosity, rate-sensitivity and arbitrary ow and hardening rules. The distinguishing characteristic of the proposed constitutive updates is that, by construction, the corresponding incremental stress-strain relations deriv...

Simulation of long-term consolidation behavior of soft sensitive clay using an elasto-viscoplastic constitutive model