| 用超级单元法分析含空洞介质的等效弹性性质 |
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| 引用本文： | 樊建平,邓泽贤. 用超级单元法分析含空洞介质的等效弹性性质[J]. 华中科技大学学报(自然科学版), 2002, 30(10): 114-116 |
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| 作者姓名： | 樊建平 邓泽贤 |
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| 作者单位： | 香港大学工业及系统工程学系 |
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| 基金项目： | 香港研究资助局资助项目 (PolyU5 1 76/ 0 0E) |
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| 摘 要： | 在Kachanov对基体材料中含有任意个椭圆空洞的弹性势函数的基础上，给出了对应的等效弹性常数的简单表达式，建立了以单元边界内力为基本未知量的超级单元刚度矩阵方程，通过对铝合金薄板的数值计算，并和实验结果相比较，验证了理论分析与超级单元数值模型的有效性和可靠性。
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| 关 键 词： | 空洞介质 超级单元法 材料 等效弹性常数 非均匀介质 位移相容 弹性力学 等效弹性模量 |
| 文章编号： | 1671-4512(2002)10-0114-03 |
| 修稿时间： | 2001-10-08 |
Numerical analysis of effective properties of non-homogeneous eleastic solids with super element |
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| Fan Jianping Tang C Y Doctoral Candidate, Dept. of Industry and Systems Enqineering,The Hongkong Polytechnic University,Hong Kong,China.. Numerical analysis of effective properties of non-homogeneous eleastic solids with super element[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 2002, 30(10): 114-116 |
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| Authors: | Fan Jianping Tang C Y Doctoral Candidate Dept. of Industry Systems Enqineering The Hongkong Polytechnic University Hong Kong China. |
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| Abstract: | On the basis of Kachanov's eleastic potential theory about eliptical hole in matrix, this paper presents the mathematical formula of elastic constant in a simple form. The equation for calculating the superelement stiffness has been established by considering internal nodal force as the basic quantity. The numerical calculation is performed for the case of stretching thin sheet of aluminium-alloy. The result, compared with the experimental one, shows that there exists a very good and consistent agreement between the predicted value and the experiemntal result. |
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| Keywords: | material super element effective eleastic constant non-homogeneous media displacement compatible |
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