具有凹坑和凸起缺陷球壳屈曲强度的比较
Comparing the buckling strength of spherical shells with dimpled versus bumpy defects
摘要：
本文研究了缺陷几何形状对外压作用下球壳临界屈曲条件的敏感性的影响。具体来说，我们进行了比较研究，壳包含酒窝（向内）与凹凸不平（向外）高斯缺陷。在最近的许多壳体屈曲研究中，前者已经成为标准形状，而后者仍然大多未被探索。我们采用有限元模拟，这是以前对实验进行了验证，计算击倒因子的两种情况下，同时系统地探索参数空间的缺陷几何形状。对于相同幅度的缺陷的振幅和角宽度，我们发现，含有凹凸不平的缺陷的壳一贯表现出显着更高的击倒因素比壳更经典的酒窝缺陷。此外，作为缺陷的振幅和宽度的函数的击倒的关系在这两种情况下是定性不同的，这也表现出不同的后屈曲行为。根据这两种情况下的平均曲率曲线的定性差异，对结果进行了推测性解释。
英文摘要：
We investigate the effect of defect geometry in dictating the sensitivity of the critical buckling conditions of spherical shells under external pressure loading. Specifically, we perform a comparative study between shells containing dimpled (inward) versus bumpy (outward) Gaussian defects. The former has become the standard shape in many recent shell-buckling studies, whereas the latter has remained mostly unexplored. We employ finite-element simulations, which were validated previously against experiments, to compute the knockdown factors for the two cases while systematically exploring the parameter space of the defect geometry. For the same magnitudes of the amplitude and angular width of the defect, we find that shells containing bumpy defects consistently exhibit significantly higher knockdown factors than shells with the more classic dimpled defects. Furthermore, the relationship of the knockdown as a function of the amplitude and width of the defect is qualitatively different between the two cases, which also exhibit distinct post-buckling behavior. A speculative interpretation of the results is provided based on the qualitative differences in the mean-curvature profiles of the two cases.
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