| 弹性力学的重构核粒子边界无单元法与有限元的耦合法 |
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| 引用本文： | 秦义校,程玉民.弹性力学的重构核粒子边界无单元法与有限元的耦合法[J].固体力学学报,2008,29(2). |
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| 作者姓名： | 秦义校 程玉民 |
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| 作者单位： | 1. 太原科技大学机电工程学院,太原,030024;上海大学上海市应用数学和力学研究所,上海,200072
2. 上海大学上海市应用数学和力学研究所,上海,200072 |
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| 基金项目： | 国家自然科学基金
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山西省自然科学基金
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太原科技大学博士科研启动基金 |
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| 摘 要： | 将重构核粒子边界无单元法(RKP-BEFM)与有限元法(FEM)耦合,形成求解具有区域特征的弹性力学问题的重构核粒子边界无单元与有限元的耦合方法RKP-BEF/FE.推导了重构核粒子边界无单元与有限元耦合方法的离散化公式,建立了节点未知量的耦合方程.重构核粒子边界无单元法和有限单元法的较高精度保证了这一直接耦合方法的成功实现与求解精度.最后给出了平面问题的数值算例,验证了提出的耦合方法RKP-BEF/FE的有效性.
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| 关 键 词： | 边界无单元法 有限元法 重构核粒子法 耦合 弹性力学 |
COMBINATION OF THE REPRODUCING KERNEL PARTICLE BOUNDARY ELEMENT-FREE METHOD AND THE FINITE ELEMENT METHOD FOR ELASTICITY |
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| Yixiao Qin,Yumin Cheng.COMBINATION OF THE REPRODUCING KERNEL PARTICLE BOUNDARY ELEMENT-FREE METHOD AND THE FINITE ELEMENT METHOD FOR ELASTICITY[J].Acta Mechnica Solida Sinica,2008,29(2). |
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| Authors: | Yixiao Qin Yumin Cheng |
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| Abstract: | By combining the reproducing kernel particle boundary element-free method (RKP-BEFM) and the finite element method (FEM), a coupled RKP-BEF/FE method for elasticity is presented. The discrete formulae for the method are derived. The combined equations on the unknown quantities at nodes for the RKP-BEF/FE method are established. As the RKP-BEFM and FEM have high precision, the method presented here is successful. The numerical examples in two-dimensional elastostatic problems are given for verifying the effectiveness and correctness of the presented RKP-BEF/FE method. |
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| Keywords: | boundary element-free finite element reproducing kernel particle coupled method elasticity |
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