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A BEM formulation for anisotropic half-plane problems

机译:各向异性半平面问题的BEM公式

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this article presents a boundary element formulation for cracked anisotropic elastic half-planes and shows how the formulation can efficiently be applied to solve various practical problems. The complete Green's functions for the anisotropic half-plane are obtained and the corresponding boundary integral equations are derived. Also presented are particular solutions associated with the body force of gravity and far- field stresses, which are incorporated rigorously into the boundary element formulation by superposition. For half-plane problems, this new formulation is more efficient than the finite element method or even the boundary element formulation using Green's functions for the infinite plane.
机译:本文提出了一种用于各向异性各向异性弹性半平面的边界元公式,并展示了如何有效地使用该公式来解决各种实际问题。得到了各向异性半平面的完整格林函数,并推导了相应的边界积分方程。还介绍了与重力和远场应力有关的特定解决方案,这些解决方案通过叠加被严格地结合到边界元素公式中。对于半平面问题,此新公式比使用无限函数的格林函数的有限元方法甚至边界元公式更有效。

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