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王保林, 杜善义, 韩杰才. 非均匀复合材料的动态热弹性断裂力学分析[J]. 力学学报, 1999, 31(5): 550-562. DOI: 10.6052/0459-1879-1999-5-1995-066
引用本文: 王保林, 杜善义, 韩杰才. 非均匀复合材料的动态热弹性断裂力学分析[J]. 力学学报, 1999, 31(5): 550-562. DOI: 10.6052/0459-1879-1999-5-1995-066
DYNAMIC FRACTURE MECHANICS ANALYSIS FOR NON-HOMOGENEOUS COMPOSITE MAYERIAL WITH MULTIPLE CRACKS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(5): 550-562. DOI: 10.6052/0459-1879-1999-5-1995-066
Citation: DYNAMIC FRACTURE MECHANICS ANALYSIS FOR NON-HOMOGENEOUS COMPOSITE MAYERIAL WITH MULTIPLE CRACKS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(5): 550-562. DOI: 10.6052/0459-1879-1999-5-1995-066

非均匀复合材料的动态热弹性断裂力学分析

DYNAMIC FRACTURE MECHANICS ANALYSIS FOR NON-HOMOGENEOUS COMPOSITE MAYERIAL WITH MULTIPLE CRACKS

  • 摘要: 对非均匀复合材料的动态热弹性断裂力学问题进行了研究,假设材料参数沿厚度方向为变化的,沿该方向将复合材料划分为许多单层,取每一单层材料参数为常数,应用Fourier变换法,在Laplace域内推导出了控制问题的奇异积分方程组,给出了热应力强度因子的表达式,然后利用Laplace数值反演,得出了裂纹尖端的动态应力强度因子.本文的方法具有以下特点:(1)多个垂直于厚度方向的裂纹,(2)材料可以为正交各向异性:(3)考虑了惯性效应.作为算例,研究了带有两个裂纹的功能梯度结构,分析了材料参数的变化对应力强度因子的影响.

     

    Abstract: The problem considered here is the response of a nonhomogeneous composite materialcontaining some cracks subjected to dynamic thermal loading. It is assumed that all the materialproperties only depend on the coordinates y (along the thickness direction). In the analysis, theelastic region is divided into a number of strips of infinite length. The material properties are takento be constants for each strip. By utilizing the Laplace transform and Fourier transform technique,the singular integral equations are...

     

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