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THE ANALYSIS OF CRACK PROBLEMS WITHNON-LOCAL ELASTICITY
作者姓名:赵明暤  程昌钧  刘国宁  沈亚鹏
作者单位:Zhao Minghao; Cheng Changjun;Liu Guoning ; Shen Yapeng (Zhengzhou Research Insitute of Mechanical Engineering,Zhengzhou 450052,P R China) (Department of Mechanics,Shanghai University; Shanghai Institute of Applied (Mathematics and Mechanics,Shanghai 200072,P R China) (Xi' an Jiaotong University,Xi' an 710049,P R China)
摘    要:IntroductionTheclassicalconhnuummechanicshasbeenusedtosolvemanyproblemsinmacrofracturemechanics,butencountersdifficulheswhentheeffectofITilcrocharacteristicdimensionshouldbetakenintoaccount.Thestressfieldverynearthecracktipisstillnotclear.Somephenomenaofshortcrackscannotbeexplained"']andsomemechanismoffracturehasnotbeensolvedyet.Thenon-localelashcitytheoryseemsattractivetotheseproblems.Thetheoryofnon-localelasticity,establishedanddevelopedbyEringenetal3),connectstheclassicalcontinuummechan…

收稿时间:6 October 1997

The analysis of crack problems with non-local elasticity
Zhao Minghao,Cheng Changjun,Liu Guoning,Shen Yapeng.THE ANALYSIS OF CRACK PROBLEMS WITHNON-LOCAL ELASTICITY[J].Applied Mathematics and Mechanics(English Edition),1999,20(2):143-153.
Authors:Zhao Minghao  Cheng Changjun  Liu Guoning  Shen Yapeng
Institution:(1) Zhengzhou Research Institute of Mechanical Engineering, 450052 Zhengzhou, P R China;(2) Department of Mechanics, Shanghai University; Shanghai Institute of Applied Mathematics and Mechanics, 200072 Shanghai, P R China;(3) Xi'an Jiaotong University, 710049 Xi'an, P R China
Abstract:In this paper, the displacement discontinuity fundamental solutions (DDFS) corresponding to the unit concentrated displacement discontinuity for plane problems of non-local elasticity are obtained. Based on the displacement discontinuity boundary integral equation (DDBIE) and boundary element method (BEM), a method of analysis of crack problems in non-local elasticity with generalized purpose is proposed. By using this method, several impotent problems in fracture mechanics such as edge crack are studied, The stuby of edge crack shows that the stress concentration factor (SCF) near the crack tip is not a constant but varies with the crack length. With this result the effect of crack length on the fracture toughness KI c is studied. The results obtained in this paper ore in accordance with the published ones.
Keywords:crack  boundary integral equation (BIM)  boundary element method (BEM)  non-local elasticity  fundamental solution
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