Deformation of composites with arbitrarily oriented orthotropic fibers under matrix microdamages
- 21 Downloads
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.
KeywordsEffective Elastic Modulus Ellipsoidal Inclusion Isotropic Matrix Effective Elastic Constant Porosity Balance Equation
Unable to display preview. Download preview PDF.
- 1.S. D. Akbarov, “On the stress state in a fibrous composite material with twisted fibers,” in: Mathematical Methods and Physicomechanical Fields, Issue 31, 74–79 (1990).Google Scholar
- 3.L. M. Kachanov, Foundations of Fracture Mechanics [in Russian], Nauka, Moscow (1974).Google Scholar
- 5.L. V. Nazarenko, “Effect of microdefects on the deformation properties of anisotropic materials,” Dopov. Nats. Akad. Nauk Ukr., No. 10, 63–67 (1999).Google Scholar
- 6.A. R. Rzhanitsyn, Theory of Reliability of Structures [in Russian], Stroiizdat, Moscow (1978).Google Scholar
- 7.I. N. Frantsevich, F. F. Voronov, and S. A. Bakuta, Elastic Constants and Elastic Moduli of Metals and Nonmetals [in Russian], Naukova Dumka, Kiev (1982).Google Scholar
- 8.L. P. Khoroshun, B. P. Maslov, E. N. Shikula, and L. V. Nazarenko, Statistical Mechanics and Effective Properties of Materials [in Russian], Naukova Dumka, Kiev (1993).Google Scholar