We study the effective moduli and damage formation in out-of-plane elasticity (i.e., two-dimensional conductivity) of matrix-inclusion composite materials with either randomly or periodically distributed inclusions (fibers). In this paper, we focus our attention on composites with isotropic phases, both of which have elastic-brittle response in damage. The elastic-brittle behavior is modeled with the help of a fine mesh finite-difference system, whereby damage evolution is simulated by sequentially removing/breaking bonds in this lattice in accordance with the state of stress/strain concentrations. The composite systems are specified by two parameters: stiffness ratio and strength ratio of both phases. In particular, we investigate the following aspects: basic classification of effective constitutive responses, geometric patterns of damage, varying degrees of randomness of the inclusions’ arrangements, and mesh resolutions of continuum phases.
Influence of Random Geometry on Effective Properties and Damage Formation In Composite Materials
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Ostoja-Starzewski, M., Sheng, P. Y., and Jasiuk, I. (July 1, 1994). "Influence of Random Geometry on Effective Properties and Damage Formation In Composite Materials." ASME. J. Eng. Mater. Technol. July 1994; 116(3): 384–391. https://doi.org/10.1115/1.2904302
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