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T-STRESS SOLUTIONS FOR MULTIPLE EDGE CRACKS IN THICK-WALLED CYLINDERS

机译:用于厚壁圆柱体的多边缘裂缝的T-应力溶液

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In this paper, the boundary element method (BEM) is employed to obtain T-stress solutions for multiple internal edge-cracks in thick-walled cylinders under complex stress distributions. Thick-walled cylinders with two, four and eight internal edge cracks, respectively, are analyzed for a wide range of radius ratios and relative crack lengths. The load cases considered for the cracked cylinder are: i) crack face pressure with uniform, linear, quadratic and cubic stress distributions and ii) internal pressure in the cylinder. The T-stress results for the uniform and the linear distribution crack face pressure cases are used as the reference solutions to derive weight function solutions for the T-stress for the corresponding geometries. The direct boundary element results of the T-stress for the other nonlinear stress distributions are used to validate the derived T-stress weight functions. Excellent agreements between the BEM results and weight function predictions are obtained. The weight functions derived are suitable for obtaining T-stress solutions for the corresponding cracked thick-walled cylinder under any complex stress fields.
机译:在本文中,采用边界元法(BEM)在复合应力分布下,在厚壁圆柱体中获得用于多个内部边缘裂缝的T-应力溶液。分别分别为厚壁圆柱,分别分析了两个,四个和八个内边缘裂缝,用于各种半径比和相对裂缝长度。考虑到裂纹圆筒的负载箱是:i)裂缝面压,具有均匀,线性,二次和立方应力分布和II)内部压力在汽缸中。均匀和线性分布裂纹面压壳的T应应力结果用作参考解决方案,以导出相应几何形状的T应力的重量函数解。用于其他非线性应力分布的T应力的直接边界元件结果用于验证导出的T应力重量函数。获得BEM结果和权重函数预测之间的良好协议。导出的重量函数适用于在任何复合应力场下获得相应的裂纹厚壁圆柱的T胁迫溶液。

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