| 张洪武,吴敬凯,刘辉,郑勇刚,付振东.广义平面矩形与空间矩形块体单元[J].计算力学学报,2010,27(3):391~396 |
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| 广义平面矩形与空间矩形块体单元 |
| Generalized plane and space rectangular elements |
| 投稿时间：2009-10-20 |
| DOI：10.7511/jslx20103002 |
| 中文关键词: 平面矩形单元 空间矩形块体单元 形函数 分片试验 |
| 英文关键词:plane rectangular element space rectangular brick element shape function patch test |
| 基金项目:国家自然科学基金(10721062, 90715037);长江学者和创新团队发展计划以及国家基础性发展规划项目(2010CB832704)资助项目. |
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| 中文摘要: |
| 建立一类新的平面矩形与空间矩形块体单元,形函数构造考虑了单元内部不同方向位移间的耦合效应,通过对形函数引入耦合附加项,从而较真实地描述了单元内部场和节点值之间的函数关系。数值试验表明新的类型单元实施方便,较传统类型单元有更高的精度。 |
| 英文摘要: |
| A new kind of rectangular elements (generalized rectangular element) is developed. The coupling effect in the different directions of the displacement inside the element is considered, and the additional coupling terms are introduced in the shape functions. The accuracy of the relations between the displacement field inside the element and the displacements at nodal points of the element is approximately improved. Numerical tests show that the new element is convenient for implementation and has more accuracy than the conventional element. |
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