TY - JOUR
T1 - A highly accurate brick element based on a three-field variational principle for elasto-plastic analysis
AU - Cao, Yan P.
AU - Hu, N.
AU - Fukunaga, H.
AU - Lu, J.
AU - Yao, Zhen H.
N1 - Funding Information:
The financial supports for this research from Framatome ANP. in France and Integrated Design Inc. in Japan are greatly appreciated. The project from Framatome is “Joint Research Project Agreement-No. 5” with the title: “Numerical investigation on the effect of residual stresses on the mechanical behavior of 3-D structures” and the project from Integrated Design is: “Three-dimensional elasto-plastic analysis in civil engineering structures”.
PY - 2003/9
Y1 - 2003/9
N2 - In this paper, a penalty equilibrating 3-D mixed element based on a modified Hu-Washizu variational functional has been proposed to improve the accuracy of the elasto-plastic analysis for irregular meshes. In order to construct this element, a penalty term, which can enforce the stress components to satisfy the equilibrium equations in a weak form, is introduced into the Hu-Washizu three-field functional to "penalize" the false stress caused by the distorted meshes. The selection of the penalty factor has also been discussed in detail. Unlike traditional hybrid or mixed elements, the performance of this element is not so sensitive to mesh distortion. Furthermore, compared with hybrid stress elements, the proposed element based on the three-field variational principle is more suitable for material non-linear analysis. Numerical examples including elastic and elasto-plastic analyses have demonstrated the improved performance of the proposed element.
AB - In this paper, a penalty equilibrating 3-D mixed element based on a modified Hu-Washizu variational functional has been proposed to improve the accuracy of the elasto-plastic analysis for irregular meshes. In order to construct this element, a penalty term, which can enforce the stress components to satisfy the equilibrium equations in a weak form, is introduced into the Hu-Washizu three-field functional to "penalize" the false stress caused by the distorted meshes. The selection of the penalty factor has also been discussed in detail. Unlike traditional hybrid or mixed elements, the performance of this element is not so sensitive to mesh distortion. Furthermore, compared with hybrid stress elements, the proposed element based on the three-field variational principle is more suitable for material non-linear analysis. Numerical examples including elastic and elasto-plastic analyses have demonstrated the improved performance of the proposed element.
KW - 3-D mixed element
KW - Elasto-plastic analysis
KW - Mesh distortion
KW - Penalty equilibrium conditions
KW - Three-field variational principle
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U2 - 10.1016/S0168-874X(02)00162-2
DO - 10.1016/S0168-874X(02)00162-2
M3 - Article
AN - SCOPUS:0042011477
SN - 0168-874X
VL - 39
SP - 1155
EP - 1171
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
IS - 12
ER -