Finite deformation of flexible composites. (English) Zbl 0717.73035

Summary: This paper examines the nonlinear elastic behaviour of flexible composites under finite deformation. The constitutive relations have been derived based on a strain-energy density which, in a fourth-order polynomial form, is assumed to be a function of the Lagrangian strain components referring to the initial principal material coordinates. The constitutive equations thus obtained are verified by the following experiments: (1) off-axis tension and simple shear for unidirectional composites, and (2) uniaxial tension for flexible composites with wavy fibres. Good agreement has been found between the theory and experiments.


74B20 Nonlinear elasticity
74E30 Composite and mixture properties
74A20 Theory of constitutive functions in solid mechanics
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