A NOVEL BOUNDARY INTEGRAL EQUATION METHOD FOR LINEAR ELASTICITY--NATURAL BOUNDARY INTEGRAL EQUATION

作     者：Niu Zhongrong Wang Xiuxi Zhou Huanlin Zhang Chenli 

作者机构：Department of Mechanics University of Science and Technology of China Hefei 230026 China Department of Mechanics University of Science and Technology of China Hefei 230026 China Institute of Applied Mechanics Hefei University of Technology Hefei 230009 China Institute of Applied Mechanics Hefei University of Technology Hefei 230009 China 

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

年 卷 期：2001年第14卷第1期

页      面：1-10页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：国家自然科学基金 

主　　题：BEM natural BIE elasticity 

摘      要：Th boundary integral equation (BIE) of displacement derivatives isput at a disadvan- tage for the difficulty involved in the evaluationof the hypersingular integrals. In this paper, the op- erators δ_ijand ε_ij are used to ac to the derivative BIE. The boundarydisplacements tractions and displacement derivatives are transformedinto a set of new boundary tensors as boundary variables. A new BIEformulation termed natural boundary integral equation (NBIE) isobtained. The NBIE is applied to solving two-dimensional elasticityproblems. In the NBIE only the strongly singular inte- grals arecontained. The Cauchy principal value integrals occurring in the NBIEare evaluated. A combination of the NBIE and displacement BIE can beused to directly calculate the boundary stress- es. The numericalresults of several examples demonstrate the accuracy of the NBIE.