XU Chun-hui, QIN Tai-yan, YUAN Li, Noda Nao-Aki. Analysis of Multiple Interfacial Cracks in Three Dimensional Bimaterials Using Hypersingular Integral-Differential Equation Method[J]. Applied Mathematics and Mechanics, 2009, 30(3): 282-290.
 Citation: XU Chun-hui, QIN Tai-yan, YUAN Li, Noda Nao-Aki. Analysis of Multiple Interfacial Cracks in Three Dimensional Bimaterials Using Hypersingular Integral-Differential Equation Method[J]. Applied Mathematics and Mechanics, 2009, 30(3): 282-290.

# Analysis of Multiple Interfacial Cracks in Three Dimensional Bimaterials Using Hypersingular Integral-Differential Equation Method

• Received Date: 2008-09-28
• Rev Recd Date: 2009-02-06
• Publish Date: 2009-03-15
• Using the finite-part integral concepts, a set of hypersingular integraldifferential equations for multiple interfacial cracks in a three-dimensional infinite bimaterial subjected to arbitrary loads was derived. In the numerical analysis, unknown displacement discontinuities were approximated by the products of the fundamental density functions and power series, where the fundamental functions were chosen to express a two-dimensional interface crack exactly. As illustrative examples, the stress intensity factors for two rectangular interface cracks were calculated for various spacing, crack shape and elastic constants. It is shown that the stress intensity factors decrease with the increasing of crack spacing.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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