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基于裂缝边缘中心的横向或面外非线性动力响应,给出一种可行的方法以替代用于损伤容器设计的膨胀系数,并用以描述施加内压的破裂柱状壳体结构的特性。该法避免了膨胀系数的有限元分析中裂缝端网格选择的问题,还指出裂缝长度和裂缝宽度对响应的影响相同。发现裂缝宽度对响应的影响有重要的意义,但其在膨胀系数中是无用的。而且,目前单个膨胀系数仅适用于裂缝长度和壳半径比在某个范围的情况。研究表明:1)本文给出的方法不受裂缝长度与壳半径比值范围的限制;2)该法概念简单;3)从计算上看,由于目前的动力方法在粗网格处会快速收敛,通过使用基于壳体有限元的混合公式可以相对更加容易且准确有效地获得裂缝边缘中心的非线性响应。
Based on the transverse or out-of-plane nonlinear dynamic response of the crack edge center, a feasible method is given to replace the expansion coefficient used to damage the container design and to describe the characteristics of the cracked cylindrical shell structure under internal pressure. This method avoids the problem of mesh selection in the finite element analysis of expansion coefficient, and points out that the influence of crack length and crack width on the response is the same. The effect of crack width on response is found to be significant, but it is useless in the expansion coefficient. Moreover, the current single coefficient of expansion is only applicable when the crack length and shell radius ratio are within a certain range. The results show that: 1) The method given in this paper is not limited by the ratio of crack length to shell radius; 2) The concept of this method is simple; 3) From the point of view of calculation, current power method converges rapidly at the coarse grid, The nonlinear response of the center of crack edge can be obtained relatively easily and accurately by using the mixing formula based on shell finite element.