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Boundary value problems for unsymmetrical laminates, occupying a region with elliptic contour

机译:占据椭圆轮廓区域的非对称层压板的边值问题

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摘要

The internal stress and strain state of thin anisotropy laminate under bending-extension coupling is studied. The layup may be arbitrary as well as the type of anisotropy in ply materials. In the proper plane the boundary of laminate region is supposed to be elliptic. On the basis of modified complex potentials the exact solutions of boundary value problems (BVPs) for inner ellipse and for outer ellipse are obtained in the form of convergent series. A few numerical examples are given for the simplest case of circular boundary of region.
机译:研究了薄弱各向异性层板在弯曲-延伸耦合作用下的内应力和应变状态。铺层以及层板材料中各向异性的类型可以是任意的。在适当的平面中,层压材料区域的边界被认为是椭圆形的。在修正的复势的基础上,以收敛级数的形式获得内椭圆和外椭圆的边值问题(BVP)的精确解。对于区域的圆形边界的最简单情况,给出了一些数值示例。

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