PROPOSITION OF CONSTITUTIVE MODEL FOR FIBREREINFOCED HYPERELASTIC MATERIALS

Abstract eng:
In the paper the class of relatively simple constitutive models of hyperelastic non-homogeneous composite materials with isotropic matrix reinforced with continuous fiber families is proposed. The model was formulated on the basis of strain energy additivity assumption. Proposed class of constitutive models reduce in approximation to the classical for linear theory models of fibrous composites, where full bounding between matrix and fibers is assumed. The strain energy potential for proposed model is a poly-convex function, what ensure existence of solution of boundary value problems for hyperelasticity and good numerical conditioning. Constitutive relationships expressed in objective incremental form are implemented in FORTRAN in user procedure UMAT of FEM system ABAQUS. The numerical tests were carried out to check correctness of the implementation, and two types of boundary value problems of tubes tension/compression tests are solved.

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