Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending
Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending
复制标题
面内弯曲下预应力薄板边屈曲的高阶渐近
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
A. Bassom
中科院分区：
文献类型：
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作者：
C. Coman;A. Bassom
本文用奇异摄动法研究了预应力矩形弹性薄板在面内弯曲时的局部屈曲问题。的依赖性的临界载荷和波长的局部振荡模式上的无量纲弯曲刚度的板被捕获与高阶边界层分析。与直接数值模拟的原始特征值问题的比较证实了这项工作中探索的渐近技术的准确性和多功能性。
Singular perturbation techniques are used to investigate the linear eigenvalue problem that describes the partial wrinkling of a pre-stressed rectangular thin elastic plate under in-plane bending. The dependence of the critical load and the wavelength of the localised oscillatory pattern on the non-dimensional bending rigidity of the plate is captured with a higher-order boundary-layer analysis. Comparisons with direct numerical simulations of the original eigenproblem confirm the accuracy and versatility of the asymptotic technique explored in this work.