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Published March 1995 | public
Journal Article

Modeling Constitutive Behavior of Particulate Composites Undergoing Damage

Abstract

A simple rate-independent phenomenological constitutive model is developed for particulate composites undergoing damage. The constitutive model is motivated by the results of a micromechanical model based on Eshelby's equivalent inclusion analysis and Mori-Tanaka's method for an elastic composite undergoing damage either by debonding or cavity formation. The micromechanical model is used to illustrate the behavior of a composite consisting of hard particles reinforcing a soft, nearly incompressible elastic matrix. The composite is assumed to behave linearly elastic in the absence of any damage. The damage accumulation is described by a single scalar internal variable, the maximum volume dilatation attained during the deformation process. Two damage functions govern the degradation of the bulk and the shear moduli in the phenomenological constitutive model. Corresponding computational algorithmic tangent moduli is derived and examples are provided to illustrate the versatility of the proposed model.

Additional Information

© 1995 Elsevier Science Ltd. Received 1 February 1994; in revised form 14 May 1994. We gratefully acknowledge the support of the Air Force Office of Scientific Research for this research under the technical monitorship of Dr Walter Jones. We would like to thank Professor W. G. Knauss for many helpful and stimulating discussions during the course of this investigation.

Additional details

Created:
August 20, 2023
Modified:
October 20, 2023