A Mathematical Model for Thermomechanical Behavior of Arbitrary Fiber Reinforced Viscoelastic Composites - II

This study examines the behavior of a composite material under mechanical loads arising of the external medium in a viscoelastic medium reinforced by two arbitrary independent and inextensible fiber families, provided that isotropy constraint is imposed on the matrix material.Despite the fact that the matrix material is isotropic the model in consideration bears the characteristic of directed media included in the transverse isotropy symmetry group solely due to its fiber distribution.The reaction of the object to external loads is expressed in elastic stress and dissipative stress.Based on constitutive axioms and concepts pertaining to the symmetry group of the material, constitutive functionals have been obtained.To materially determine arguments of these functionals, findings of the theory of invariants have been used as a routine method.As a result constitutive equations pertaining to elastic stress and dissipative stress have been found in material and spatial coordinates whereas symmetric and asymmetric stresses have been found in terms of displacement gradient and its derivative by using the expressions of elastic stress and dissipative stress.

Abstract licence: CC BY-NC-ND

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