Deformation of composites with arbitrarily oriented orthotropic fibers under matrix microdamages |
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Authors: | L V Nazarenko |
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Institution: | 1.Timoshenko Institute of Mechanics,National Academy of Sciences of Ukraine,Kiev,Ukraine |
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Abstract: | In the present work, a model of nonlinear deformation of stochastic composites under microdamaging is developed for the case
of a composite with orthotropic inclusions, when microdefects are accumulated in the matrix. The composite is treated as an
isotropic matrix strengthened by triaxial arbitrarily oriented ellipsoidal inclusions with orthotropic symmetry of the elastic
properties. It is assumed that the process of loading leads to accumulation of damage in the matrix. Fractured microvolumes
are modeled by a system of randomly distributed quasispherical pores. The porosity balance equation and relations for determining
the effective elastic modules in the case of orthotropic components are taken as basic relations. The fracture criterion is
specified as the limiting value of the intensity of average shear stresses acting in the intact part of the material. On the
basis of the analytic and numerical approach, we propose an algorithm for the determination of nonlinear deformation properties
of the investigated material. The nonlinearity of composite deformations is caused by the finiteness of deformations. By using
the numerical solution, the nonlinear stress–strain diagrams are predicted and discussed for an orthotropic composite material
for various cases of orientation of inclusions in the matrix. |
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Keywords: | |
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