Evaluation of strongly singular domain integrals for internal stresses in functionally graded materials analyses using RIBEM

作     者：Hai-Feng Peng Jian Liu Qiang-Hua Zhu Ch.Zhang 

作者机构：School of Aeronautics and AstronauticsFaculty of Vehicle Engineering and MechanicsDalian University of Technology Department of Civil EngineeringUniversity of Siegen D-57068 Siegen Germany 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2014年第30卷第6期

页      面：917-926页

核心收录：

学科分类：08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(11172055 and 11202045) 

主　　题：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 *** 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 *** singular domain integral is transformed into a boundary integral using the radial integration *** expressions of the radial integrals are obtained for two commonly used shear moduli varying with spatial *** regular domain integral,after expressing the displacements in terms of the radial basis functions,is also transformed to the boundary using the radial integration ***,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.