FIRST-ORDER FINITE ELEMENT METHOD FOR TWO-DIMENSIONAL ELASTICITY

Luo Jianhui; Bian Zhengning; Du Shisen

doi:10.13204/j.gyjz2001412014

Volume 44 Issue 12

Feb. 2015

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Article Navigation > INDUSTRIAL CONSTRUCTION > 2014 > 44(12): 79-82

HUANG Lin, GUO Zhan, CHEN Yu, HE Kang. SHAKING TABLE TEST STUDY ON THE NEW ROCKING SELF-CENTERING BRIDGE PIERS[J]. INDUSTRIAL CONSTRUCTION, 2020, 50(9): 83-88,117. doi: 10.13204/j.gyjzG201906300001

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Luo Jianhui, Bian Zhengning, Du Shisen. FIRST-ORDER FINITE ELEMENT METHOD FOR TWO-DIMENSIONAL ELASTICITY[J]. INDUSTRIAL CONSTRUCTION, 2014, 44(12): 79-82. doi: 10.13204/j.gyjz2001412014

HUANG Lin, GUO Zhan, CHEN Yu, HE Kang. SHAKING TABLE TEST STUDY ON THE NEW ROCKING SELF-CENTERING BRIDGE PIERS[J]. INDUSTRIAL CONSTRUCTION, 2020, 50(9): 83-88,117. doi: 10.13204/j.gyjzG201906300001

Citation:

Luo Jianhui, Bian Zhengning, Du Shisen. FIRST-ORDER FINITE ELEMENT METHOD FOR TWO-DIMENSIONAL ELASTICITY[J]. INDUSTRIAL CONSTRUCTION, 2014, 44(12): 79-82. doi: 10.13204/j.gyjz2001412014

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FIRST-ORDER FINITE ELEMENT METHOD FOR TWO-DIMENSIONAL ELASTICITY

doi: 10.13204/j.gyjz2001412014

Publish Date: 2014-12-20

Abstract

Abstract

In the conventional displacement finite element methods，the stresses are obtained from a differential operation after the nodal displacements are determined． In order to improve the accuracy of the stress，a first-order multivariable form was proposed to make sure that the order of stresses and displacements should be equal，and the weak form was then derived． Using the finite element method，a two-dimensional elastic problem was solved by firstorder method，and the first-order solutions and the solutions of the conventional displacement finite element method were compared． The numerical results showed that the first-order solution effectively improved the accuracy of the stress while the displacement errors and the stress errors had the same convergence order，which verified the effectiveness of the method and provided a new idea of improving the accuracy for the finite element method．
- finite element,
- weak form,
- elasticity,
- first-order algorithm,
- accuracy of the stress

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沈阳化工大学材料科学与工程学院沈阳 110142

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