线载荷积分方程法的位移和应力场的唯一性定理
Theorem of the Uniqueness of Displacement and Stress Fields of Line-Loaded Integral Equation Method
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摘要: 根据Fredholm定理,本文证明了由满足边界条件的分布于弹性体所占的区域之外的虚的基本载荷引起的弹性体所占的区域之内的位移和应力场是唯一的.本定理为线载荷积分方程法的应用奠定理论基础.Abstract: According to Fredholm's theorem, this paper proves that due to the virtual fundaemental loods which satisfy the boundary conditions and being distributed outside the elastic body occupied region the displacement and stress fields in the elastic body occupied region are unique. This theorem forms a theoretical basis of the applications of the line-loaded integral equation method.
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