偏心圆环多值位移问题的一般解
General Solution of Multi-Valued Displacement Problem of an Eccentric Circular Ring
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摘要: 本文利用И.И.Мусхелишвили的复函数方法,研究了平面偏心圆环多值位移问题,得到了以双极坐标表示的应力函数的一般表达式,文中对表达式的应用作了说明.Abstract: In this paper,by using Мусхелишвили's method, a multi-valued displacement problem is considered for an encentric circular ring.The general expression of stress function is derived in the bi-polar co-ordinate system, Here its application is explained.
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[1] Jeffery,G,B.,D,Sc,M,A.,Plane stress and plane strain in bipolar co-ordinates,Phil.Trans.Roy,Soc.,London,A,221(1921),265-293. [2] Мусхелишвили,H,И,《数学弹性力学的几个基本问题》科学出版社(1958). [3] 汤任基、王凯.非对称载荷作用的vrrif fith裂纹问题,力学学报,3(1980).269-278. -
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