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介绍一种半解析后处理方法,称平衡/相容性方法,用于计算削弱边缘承载矩形板内部未贯穿椭圆孔的环向回流角线附近,沿厚度方向横向切应力的差异。基于横向非延性和分层优化恒定剪切角理论(LCST)的C0型的三角型“复合”板单元,首先计算面内应力和分层优化的沿厚度方向的平均横向切应力。这是计算内部未贯穿椭圆孔的环向回流角线附近沿厚度方向横向切应力分布的出发点。同样情况下,若未贯穿孔为圆形,则在内部未贯通椭圆孔的环向回流角线存在奇异点时,由传统平衡方法(EM)计算的横向切应力是错误的,违背了协调条件。其计算的最大横向切应力足以使始于内部未贯通孔的环向回流角线的椭圆截面产生脆性横向剪切锥形裂缝。分析的结果与三维渐进分析是一致的。
A semi-analytical postprocessing method, called balance / compatibility method, is introduced to calculate the difference of transverse shear stress in the thickness direction near the circular backflow angle line which weakens the interior of the rectangular plate with no edge passing through the ellipse. Based on the horizontal non-ductile and stratified optimization of constant shear angle theory (LCST) for the C0 triangular “composite ” plate element, the in-plane stress and stratified optimization of the average transverse shear stress in the thickness direction are first calculated. This is the starting point for the calculation of the transverse shear stress distribution in the thickness direction near the circular recirculation line that does not penetrate the elliptical hole inside. In the same case, if the through-hole is not circular, the transverse shear stress calculated by the conventional equilibrium method (EM) is wrong when there is a singular point in the annular recirculation line that does not penetrate through the elliptical hole, which violates the coordination condition . The calculated maximum transverse shear stress is sufficient to produce a brittle transverse shear cone fracture in the elliptical cross-section of the toroidal recirculation angle line starting from the inner, non-through-hole. The results of the analysis are consistent with the three-dimensional progressive analysis.