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弹性长条的周期裂缝问题
ON THE FUNDAMENTAL PROBLEMS IN AN INFINITELY LONG ELASTIC STRIP WITH PERIODIC CRACKS
【摘要】 讨论了各向同性和各向异性弹性长条的周期裂缝问题,给出了这类问题的正确提法和一般解法.将寻求复应力函数的问题归结为求解某种正则型奇异积分方程,证明了适当且唯一地选择一些待定常数的值后方程是可解的.解虽不唯一但在一条边上仅差一复常数.
【Abstract】 The fundamental problems in an infinitely long elastic strip with periodic cracks of arbitraryshape both for isotropic and anisotropic materials are discussed. The correct formulation for the problemsare given. The problems are reduced to some singular integral equations of normal type which are proved tobe solvable with undetermined constants suitbly chosen.
【关键词】 弹性长条;
周期裂缝;
复交方法;
奇异积分方程;
【Key words】 elastic strip; periodic cracks; complex variable method; singular integral equations;
【Key words】 elastic strip; periodic cracks; complex variable method; singular integral equations;
【基金】 国家自然科学基金
- 【文献出处】 武汉大学学报(自然科学版) ,WUHAN UNIVERSITY JOURNAL(NATURAL SCIENCE EDITION) , 编辑部邮箱 ,1998年05期
- 【分类号】O346.1
- 【被引频次】5
- 【下载频次】31