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论文类型：期刊论文

发表时间：2014-12-01

发表刊物：ACTA MECHANICA SINICA

收录刊物：SCIE、EI、ISTIC、CSCD

卷号：30

期号：6

页面范围：917-926

ISSN号：0567-7718

关键字：Stress integral equations; Functionally graded materials; Strongly singular domain integral; Singularity separation technique; Radial integration method

摘要：An accurate evaluation of strongly singular domain integral appearing in the stress representation formula is a crucial problem in the stress analysis of functionally graded materials using boundary element method. To solve this problem, a singularity separation technique is presented in the paper to split the singular integral into regular and singular parts by subtracting and adding a singular term. The singular domain integral is transformed into a boundary integral using the radial integration method. Analytical expressions of the radial integrals are obtained for two commonly used shear moduli varying with spatial coordinates. The regular domain integral, after expressing the displacements in terms of the radial basis functions, is also transformed to the boundary using the radial integration method. Finally, a boundary element method without internal cells is established for computing the stresses at internal nodes of the functionally graded materials with varying shear modulus.