REVIEW ARTICLES: Mechanics of Compression Failure in Composites

Nonlinear Viscoelastic Constitutive Equations for Composites Based on Work Potentials

[+] Author and Article Information
R. A. Schapery

Department of Aerospace Engineering and Engineering Mechanics, University of Texas, Austin TX 78712

Appl. Mech. Rev 47(6S), S269-S275 (Jun 01, 1994) doi:10.1115/1.3124421 History: Online April 29, 2009


Constitutive equations for nonlinear viscoelastic composites are discussed. The effects of time-independent inelastic behavior, microcracking and time-dependent residual strains are considered along with the viscoelastic effects that are traditionally associated with the behavior of monolithic and reinforced polymeric materials. Time-independent behavior is discussed first, in which the experimentally observed insensitivity of mechanical work to deformation or load paths is used as the basis for a simplified constitutive model. This representation is then modified to account for time- or rate-effects due to microcrack-like evolution laws. Effects due to broad spectrum nonlinear, viscoelastic behavior of the polymer matrix are reviewed and then used in a generalized constitutive equation with both time-independent and time-dependent effects. Emphasis of this paper is on a thermodynamically-based phenomenological description of deformation response and the use of simplifications based on experimental observations. However, there is a limited discussion of physical mechanisms for nonlinear time-dependent behavior.

Copyright © 1994 by American Society of Mechanical Engineers
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