Boundary Integral Description of the Dynamic Cracks Interaction Through a Thin Elastic Layer

V. Stankevych, I. Zhbadynskyi, Yurii Porokhovskyi
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Abstract

The problem of the stationary torsion oscillations of the opposite crack-surfaces, cracks are located in elastic biomaterial with thin interior layer, is solved by using non-classical boundary conditions. A system of two-dimensional boundary integral equations (BIEs) of the Helmholtz type with respect to unknown tangential displacements of the defects surfaces is deduced. Dependences of dynamic stress intensity factors (DSIF) in the cracks vicinity on the loading frequency and the material mismatch are analyzed.
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薄弹性层中动态裂纹相互作用的边界积分描述
利用非经典边界条件求解了内层较薄的弹性生物材料中相对裂纹表面的静扭振动问题。导出了关于缺陷表面未知切向位移的二维亥姆霍兹边界积分方程组。分析了裂纹附近动应力强度因子(DSIF)与加载频率和材料失配的关系。
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