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Stress Analysis of Infinite Plate with Elliptical Hole

机译:椭圆孔无限钢板的应力分析

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摘要

The stress field around different geometries like circular, rectangular, triangular, and elliptical having different orientations and loaded with different loading conditions can be find out using methods discovered by several researchers. One similar attempt has been made to determine the stresses around elliptical hole with infinite plate loaded in X-direction and Y-direction subsequently. The elastostatic problem of the homogeneous isotropic infinite plate with the loading at infinity (in X and Y-direction) for the elliptical hole is considered in this paper. Boundary value problem is solved with complex stress functions using complex variable approach. For this work, the Schwarz's alternating technique given by Sokolnikoff and Ukadgaonkar is used, and the derived analytical solution can be used for generation of code in C++ to find out the stress components at a given particular point.
机译:不同几何形状的应力场,如圆形,矩形,三角形和椭圆形,具有不同取向的椭圆形,并且可以使用几个研究人员发现的方法来找出不同的装载条件。已经进行了一种类似的尝试以确定椭圆孔周围的应力,其随后在X方向和Y方向上装载无限的板。本文考虑了在椭圆形孔的无穷大(x和y方向上的均匀各向同性无限板的弹性问题。使用复杂可变方法,用复态应力函数解决边界值问题。对于这项工作,使用SCHWARZ由Sokolnikoff和Ukadgaonkar给出的交替技术,并且派生的分析解决方案可用于在C ++中生成代码,以在给定特定点处找出应力分量。

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