| 用数值方法构造二阶收敛的平面弹性问题非闭锁三角形元 |
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| 引用本文： | 任国彪.用数值方法构造二阶收敛的平面弹性问题非闭锁三角形元[J].中州大学学报,2008,25(5):113-117. |
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| 作者姓名： | 任国彪 |
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| 作者单位： | 郑州大学,数学系,郑州,450052 |
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| 摘 要： | 对于纯位移平面弹性问题，在不完全3次多项式空间中，用数值方法基于div→∈P1构造了一个二阶收敛的非协调三角形单元，该单元是非闭锁的，数值算例验证了该单元的收敛性结果。
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| 关 键 词： | 平面弹性 非闭锁 有限元 数值方法 |
A Locking-free Triangular Element with Convergence of Two-order for Planar Elasticity Problem Constructed with Numerical Methods |
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| REN Guo-biao.A Locking-free Triangular Element with Convergence of Two-order for Planar Elasticity Problem Constructed with Numerical Methods[J].Journal of Zhongzhou University,2008,25(5):113-117. |
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| Authors: | REN Guo-biao |
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| Institution: | REN Guo-biao(Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China) |
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| Abstract: | For pure displacement planar elasticity problem, a nonconforming triangular element is constructed with numerical methods by restricting div→∈P1. The element has two - order of convergence and property of locking - free. Numerical experiments are carried out to show the convergence order of the theoretical analysis. |
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| Keywords: | planar elasticity locking-free finite element mumerical method |
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