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一种三维体罚平衡应力杂交元
引用本文:刘卫群,吴长春.一种三维体罚平衡应力杂交元[J].固体力学学报,1998,19(4):291-298.
作者姓名:刘卫群  吴长春
作者单位:中国科学技术大学力学与机械工程系
摘    要:主要研究三维体罚平衡杂交元理论并建立相应的单元模型,采用罚平衡方法可以在不增中自由度的前提下,有效地扼制寄生应力,从而大幅度提高畸变网格下的计算精度,所给算例对8节点空间六面体单元(DM8)、优化杂交元和该文得出的单元进行了比较,证明了这一点,文中还尝试将该文 于方板和不可压缩问题的计算,得出了令人满意的结果。

关 键 词:三维体  罚平衡杂交元  畸变网络  应力元

A PENALTY EQUILIBRATING HYBRID STRESS 3D ELEMENT
Liu Weiqun,Wu Changchun.A PENALTY EQUILIBRATING HYBRID STRESS 3D ELEMENT[J].Acta Mechnica Solida Sinica,1998,19(4):291-298.
Authors:Liu Weiqun  Wu Changchun
Abstract:Presents a theory of three dimensions penalty equilibrating hybrid element, and develops a hybrid stress 3D element model. By this approach, the false stress is avoided and the calculated precision is raised in a large extent for mesh distortion condition without additional degree of freedom. The calculated result for examples by the element givan in this paper is compared with that by the 8 node hexahedron element and the optimized hybrid element, it is proved that our conclusion is right. The 3D penalty equilibrating hybrid element is extended to calculate the bending problem of square plate and incompressible problem, the obtained results are satisfactory.
Keywords:three  dimensions    penalty  equilibrating  hybrid  element    mesh  distortion    incompressible
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