Solution of some elasticity boundary value problems in bipolar coordinates

被引：0
|
作者：
N. Khomasuridze
机构：
[1] I. Vekua Institute of Applied Mathematics of Tbilisi State University,
来源：
Acta Mechanica | 2007年 / 189卷
关键词：
Symmetry Condition; Stress Function; Linear Algebraic Equation; Coordinate Line; Circular Boundary;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Analytical (exact) solutions of two-dimensional problems of elasticity are constructed in bipolar coordinates in domains bounded by coordinate lines of bipolar coordinates. These represent boundary-value problems of elastic equilibrium of eccentric circular rings, half planes with circular cuts, etc. The requirement of exterior loading being statically balanced at each circular boundary of the domain is disregarded in the given work. This requirement, which substantially limits the class of problems to solve, usually appears in articles dealing with the above-mentioned problems. Besides, the very process of obtaining exact solutions (using the method of separation of variables) becomes much easier compared to the conventional approach.
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页码：207 / 224
页数：17
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