Complete solutions for elastic fields induced by point load vector in functionally graded material model with transverse isotropy

作     者：Sha XIAO Zhongqi YUE Sha XIAO;Zhongqi YUE

作者机构：Key Laboratory of Urban Security and Disaster Engineering of China Ministry of EducationBeijing University of TechnologyBeijing 100124China Department of Civil EngineeringThe University of Hong KongHong KongChina 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2023年第44卷第3期

页      面：411-430页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Project supported by the National Natural Science Foundation of China(No.42207182) the Research Grants Council of the Hong Kong Special Administrative Region Government of China(Nos.HKU 17207518 and R5037-18) 

主　　题：functionally graded material(FGM) transverse isotropy elasticity closedform singular solution Green's function point load vector 

摘      要：The paper develops and examines the complete solutions for the elastic field induced by the point load vector in a general functionally graded material(FGM)model with transverse *** FGMs are approximated with n-layered *** of the n-layered materials is homogeneous and transversely *** complete solutions of the displacement and stress fields are explicitly expressed in the forms of fifteen classical Hankel transform integrals with ten kernel *** ten kernel functions are explicitly expressed in the forms of backward transfer matrices and have clear mathematical *** singular terms of the complete solutions are analytically isolated and expressed in exact closed forms in terms of elementary harmonic *** results show that the computation of the complete solutions can be achieved with high accuracy and efficiency.