Application of a large deformation nonlinear-viscoelastic viscoplastic viscodamage constitutive model to polymers and their composites
- 11 March 2014
- journal article
- research article
- Published by SAGE Publications in International Journal of Damage Mechanics
- Vol. 24 (2) , 198-244
Abstract
Based on the effective stress concept in continuum damage mechanics and the large deformation theory, a viscodamage model, coupled with Schapery-type nonlinear-viscoelasticity and Perzyna-type viscoplasticity constitutive models, is used in order to simulate and predict the inelastic and time-dependent damage behavior of polymeric materials and their composites. The thermo-viscodamage model is presented as a function of temperature, total effective strain, damage history, and a damage-driving force expressed in terms of the deviatoric stress invariants in the undamaged configuration. This expression for the damage force allows for the distinction between the influence of compression and extension loading conditions on damage nucleation and growth. Also, the ability of the constitutive model for predicting the tertiary creep, which shows the nonlinear behavior of polymers during damage growth and nucleation, is presented. The numerical algorithm for integrating the coupled constitutive model is implemented in the finite element software Abaqus via the user-material subroutine UMAT. The model capability in predicting the nonlinear-viscoelastic, viscoplastic, and damage behavior of polymers is demonstrated through comparison of model predictions with experimental measurements in different loading conditions including creep tests and constant strain rate tests over a range of stress levels, strain rates, and temperatures. Also, a general thermodynamic framework for deriving a coupled viscoelastic–viscoplastic–viscodamage constitutive model is presented.Keywords
This publication has 72 references indexed in Scilit:
- A thermodynamic framework for constitutive modeling of time- and rate-dependent materials. Part I: TheoryInternational Journal of Plasticity, 2012
- Experimental investigations and modeling of volume change induced by void growth in polyamide 11International Journal of Solids and Structures, 2011
- A continuum damage model for the high-cycle fatigue life prediction of styrene-butadiene rubber under multiaxial loadingInternational Journal of Solids and Structures, 2011
- A micro-damage healing model that improves prediction of fatigue life in asphalt mixesInternational Journal of Engineering Science, 2010
- Gradient-enhanced Coupled Plasticity-anisotropic Damage Model for Concrete Fracture: Computational Aspects and ApplicationsInternational Journal of Damage Mechanics, 2009
- A Finite Strain Plastic-damage Model for High Velocity Impact using Combined Viscosity and Gradient Localization Limiters: Part I - Theoretical FormulationInternational Journal of Damage Mechanics, 2006
- Modelling the Non-Linear Viscoelastic and Viscoplastic Behaviour of Aramid Fibre YarnsMechanics of Time-Dependent Materials, 2003
- On the coupling of anisotropic damage and plasticity models for ductile materialsInternational Journal of Solids and Structures, 2003
- Damage Mechanics2003
- Large inelastic deformation of glassy polymers. part I: rate dependent constitutive modelMechanics of Materials, 1988