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The relations of the nonlinear theory of elasticity were used to describe the nonlinear deformation of carbide-derived carbon composite material with a 2 D reinforcement scheme. The composite material is considered as an orthotropic body. A variant of specific strain energy potential, from which tensor-linear constitutive relations follow, has been proposed. The obtained relations are used to describe the simple types of loading of the composite material. The calculated diagrams agree satisfactorily with the experimental data.

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The article gives a brief overview of mathematical models of orthotropic materials' nonlinear deformation. We propose an endochronic model of nonlinear deformation of fabric reinforced composite material in plane stress state. Experimental results made it possible to find three unrelated deformation mechanisms-deformation in warp direction, deformation in weft direction and inplane shear. We give mathematical expressions and describe procedure of calculating model parameters. The study also shows the simulation results of nonlinear deformation of different fabric reinforced composites