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Conjugate Stress/Strain Pair Approach for Anisotropic Materials

VEYSEL EREL, MINGLIANG JIANG, ALAN D. FREED

Abstract


The conjugate pair approach, when derived from an upper-triangular decomposition of the deformation gradient, allows constitutive relations to be constructed without a need for invariant theory. Constitutive equations are derived from three sets of independent conjugate pairs introduced by the authors. Each conjugate pair describes a different stress/strain response, each with a different experimental response. The conjugate pair model has some advantages over the widely used fiber model of Spencer, e.g., the model presented here has one less model parameter than the classical fiber model of Spencer. In this study the two-dimensional conjugate pair approach has been reviewed. Polyvinyl-ester (stiff) and silicone (compliant) composite materials, the latter with a fiber volume fraction of 18%, have been used to corroborate our linear, anisotropic, conjugate-pair approach for both small and large deformations.


DOI
10.12783/asc33/25932

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