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An unsymmetric 8-node plane element immune to mesh distortion for linear isotropic hardening material
International Journal for Numerical Methods in Engineering ( IF 2.9 ) Pub Date : 2021-06-10 , DOI: 10.1002/nme.6763
Xiaotian Chen 1 , Wei Chen 1 , Jiangping Xu 1 , Wenbin Tu 1 , Sellakkutti Rajendran 2 , Jinzhong Lu 1
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An 8-node quadrilateral plane element US-QUAD8 is developed for linear isotropic hardening material in the framework of updated Lagrangian unsymmetric finite formulation where B L matrix is constructed by classical shape function, and B R matrix by the higher-order Lagrangian basis function in global coordinate system. The present element eliminates the influence of Jacobian in the elemental stiffness matrix and guarantees the quadratic completeness of displacement field even under severe distorted mesh. Two typical problems meshed with angular/curved-edge/mid-side distorted elements demonstrate excellent performance of distortion resistance of the present element and good computational efficiency in severe mesh distortion.

中文翻译:

线性各向同性硬化材料不受网格变形影响的非对称 8 节点平面单元

在更新的拉格朗日非对称有限公式的框架内,为线性各向同性硬化材料开发了一个 8 节点四边形平面单元 US-QUAD8,其中 矩阵由经典形函数构造,并且 电阻 矩阵由全局坐标系中的高阶拉格朗日基函数组成。本单元消除了单元刚度矩阵中雅可比的影响,即使在严重扭曲的网格下也能保证位移场的二次完备性。角度/曲线边缘/中边畸变单元网格划分的两个典型问题证明了本单元具有良好的抗畸变性能和在严重网格畸变下的良好计算效率。
更新日期:2021-06-10
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