Similarity Solution of the Flamant Problem by Means of a One-Parameter Group Transformation

被引：0
|
作者：
David J. Unger
机构：
[1] University of Evansville,Department of Mechanical and Civil Engineering
来源：
Journal of elasticity and the physical science of solids | 2002年 / 66卷
关键词：
point load; half plane; linear elasticity; similarity solution; biharmonic equation; Flamant Problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The two-dimensional point load problem on a linear elastic half plane is solved using a one-parameter group transformation of the biharmonic equation. This solution technique allows the incorporation of the singular load directly through use of the Dirac delta function. The resulting fourth-order ordinary differential equation, while formidable in appearance, is exact and is readily solved through simple integration.
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页码：93 / 97
页数：4
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