This paper presents a continuum damage model for viscoelastic materials. “Damage” is expressed by two symmetric, second rank tensors which are related to the total areas of “active” and “passive” microcracks within a representative volume element of the multifractured material. Viscoelasticity is introduced through scalar valued internal state variables that represent the internal degrees-of-freedom associated with the motions of long chain polymeric molecules. The constitutive relations are established from basic considerations of continuum mechanics and irreversible thermodynamics, with detailed expressions derived for the case of initially isotropic materials. It is shown that damage causes softening of the material moduli as well as changes in material symmetry. The special cases of uniaxial damage under uniaxial stress and the interaction of damage with moisture diffusion are also considered.
Skip Nav Destination
Article navigation
December 1988
Research Papers
A Continuum Damage Model for Viscoelastic Materials Available to Purchase
Y. Weitsman
Y. Weitsman
Mechanics and Materials Center, Texas A&M University, College Station, TX 77843
Search for other works by this author on:
Y. Weitsman
Mechanics and Materials Center, Texas A&M University, College Station, TX 77843
J. Appl. Mech. Dec 1988, 55(4): 773-780 (8 pages)
Published Online: December 1, 1988
Article history
Received:
February 8, 1988
Revised:
July 20, 1988
Online:
July 21, 2009
Citation
Weitsman, Y. (December 1, 1988). "A Continuum Damage Model for Viscoelastic Materials." ASME. J. Appl. Mech. December 1988; 55(4): 773–780. https://doi.org/10.1115/1.3173721
Download citation file:
Get Email Alerts
Generalized incremental moduli of hyperelastic materials
J. Appl. Mech
Lennard-Jones Potential Parameters and Cut-Off Modifications for Layered Transition Metal Dichalcogenides
J. Appl. Mech (October 2025)
An Elastic Wedge Under Moment Loading: The Carothers Paradox Revisited
J. Appl. Mech (October 2025)
Nonlinear Normal Modes of Highly Flexible Cantilever Beams via Energy-Balance Based Approach
J. Appl. Mech (October 2025)
Related Articles
Damage Coupled With Heat Conduction in Uniaxially Reinforced Composites
J. Appl. Mech (September,1988)
On the Necessity of Positive Semi-Definite Conductivity and Onsager Reciprocity in Modeling Heat Conduction in Anisotropic Media
J. Heat Transfer (October,2004)
An Overview of Theories of Continuum Mechanics With Nonlocal Elastic Response and a General Framework for Conservative and Dissipative Systems
Appl. Mech. Rev (May,2017)
Multiscale Modeling of Damage Evolution in Viscoelastic Bituminous Mixtures Subjected to Cyclic Loading
J. Eng. Mater. Technol (April,2013)
Related Chapters
Mathematical Background
Vibrations of Linear Piezostructures
Data Averaging of Anisotropic Composite Material Constants
Analysis of the Test Methods for High Modulus Fibers and Composites
In Situ Observations of the Failure Mechanisms of Hydrided Zircaloy-4
Zirconium in the Nuclear Industry: 20th International Symposium