Singular stress analyses of V-notched anisotropic plates based on a novel finite element method

Singular stress analyses of V-notched anisotropic plates based on a novel finite element method
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基于新型有限元方法的 V 型切口各向异性板奇异应力分析

DOI:
10.1016/j.engfracmech.2008.01.004
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发表时间:
2008-09
期刊:
Engineering Fracture Mechanics 2008, 75:3819-3838
影响因子:
--
通讯作者:
Xue-Cheng Ping
Xue-Cheng Ping
中科院分区:
其他
文献类型:
--
作者:
陈梦成;Xue-Cheng Ping

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将基于数值特征解的超奇异楔尖单元引入到标准杂交应力有限元中,研究了各向异性多材料楔尖周围的奇异应力场。数值特征解是由一个特设的有限元特征分析方法。为了验证该方法的有效性,一些典型的各向异性单材料/双材料楔的奇异应力进行了研究。数值结果表明,本文的有限元方法可以用较少的单元数快速收敛到有效解。该方法适用于处理几何形状较为复杂的问题。
A super singular wedge tip element whose stiffness matrix is based on numerical eigensolutions is incorporated into standard hybrid-stress finite elements to study singular stress fields around the vertex of anisotropic multi-material wedge. The numerical eigensolutions are obtained by an ad hoc finite element eigenanalysis method. To demonstrate the validity of the method, singular stresses for some typical anisotropic single-material/bimaterial wedges are investigated. All numerical results show present finite element method converges rapidly to available solutions with few elements. The present method is applicable to dealing with the problems with more complex geometries.
DOI: 10.1016/0020-7683(75)90048-7
发表时间: 1975-09
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