Abstract
Fracture of heterogeneous materials under cycling loading is investigated by using a simple deterministic model. A material is simulated by an inhomogeneous two-dimensional square lattice. Characteristics of the fracture process are studied as functions of the amplitude of the strain factor ΔR and the loading periodt p ; the durability of the material is also analyzed as a function of these parameters. It is shown that the degree of fracture in the system increases with ΔR for smallt p and is practically independent of ΔR for larget p . The fractal dimensionality remains constant under all conditions and is equal toD=1.10±0.04. Fracture clusters at points of destruction of the material (percolation clusters) are anisotropic and their width-to-length ratio (the anisotropy parameter) averaged over all possible configurations is equal to δ=0.18±0.10 (ΔE=90). A power decrease in the elasticity modulusE of the system with an index τ=0.39±0.17 is observed near the percolation threshold.
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Institute of Biocolloid Chemistry, Ukrainian Academy of Sciences, Kiev. Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 30, No. 1, pp. 88–96, January–February, 1994.
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Lebovka, N.I., Mank, V.V. & Pivovarova, N.S. Simulation of the fracture of heterogeneous materials under cyclic loading. Mater Sci 30, 87–94 (1995). https://doi.org/10.1007/BF00559022
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DOI: https://doi.org/10.1007/BF00559022