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Three-dimensional asymptotic stress field at the front of an unsymmetric bimaterial pie-shaped wedge under antiplane shear loading

机译:反平面剪切载荷作用下非对称双材料饼形楔形体前部的三维渐近应力场

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摘要

Three-diemsnional asymptotic stress field in the vicinity of the front of a bimaterial pie-shaped wedge of general (unsymmetric) geometry is obtained by a recently developed eigenfunction expansion method. The bimaterial pie-shaped wedge is subjected to four combinations of wedge-side boundary conditions - free-free, clamped-clamped, free-clamped and clamped-free. Each material is isotropic and elastic, but with different material properties. Additionally, numerical results pertaining to the variation of the lowest eigenvalues (or stress singularities) with respect to the wedge opening angle of the bimatrial wedge, subjected to the aforementined edge-side boundary conditios, are also presented. Dependence of the same on the material properties of the component material phases is also an important part of the present investigation,
机译:通过最近开发的本征函数展开方法,获得了具有一般(非对称)几何形状的双材料饼形楔形的前部附近的三向渐近应力场。双材料饼状楔形件要经受楔形端边界条件的四种组合-自由,自由夹紧,自由夹紧和自由夹紧。每种材料都是各向同性和弹性的,但是具有不同的材料特性。另外,还给出了关于最低特征值(或应力奇异性)相对于双侧楔形物的楔形物张开角的变化的数值结果,该数值受上述边缘侧边界条件的影响。同样取决于组分材料相的材料特性也是本研究的重要部分,

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