| 基于单胞(GMC)模型的韧性复合材料极限分析 |
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| 引用本文： | 常晓环,张宏涛,刘应华,徐秉业.基于单胞(GMC)模型的韧性复合材料极限分析[J].工程力学,2006,23(12):9-13. |
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| 作者姓名： | 常晓环 张宏涛 刘应华 徐秉业 |
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| 作者单位： | 清华大学工程力学系,北京,100084;清华大学工程力学系,北京,100084;清华大学工程力学系,北京,100084;清华大学工程力学系,北京,100084 |
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| 基金项目： | 国家自然科学基金;教育部全国优秀博士学位论文作者专项基金;国家科技攻关项目 |
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| 摘 要： | 本文将细观力学中的单胞(GMC)模型运用到塑性力学的静力极限分析中,研究韧性复合材料的塑性极限承载能力。从反映复合材料细观结构的代表性胞元入手,通过宏观强度域的概念建立了单胞极限载荷的计算格式,最终将上述问题归结为求解一组带约束的非线性数学规划问题,并采用序列二次规划法进行了求解。算例结果表明,本文方法为复合材料的强度分析提供了一个有效手段。
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| 关 键 词： | 固体力学 韧性复合材料 细观力学 单胞(GMC)模型 极限强度 |
| 文章编号： | 1000-4750（2006）12-0009-05 |
| 收稿时间： | 2005-04-28 |
| 修稿时间： | 2005-04-282006-06-22 |
PLASTIC LIMIT ANALYSIS OF HETEROGENEOUS MATERIALS BY GMC |
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| CHANG Xiao-huan,ZHANG Hong-tao,LIU Ying-hua,XU Bing-ye.PLASTIC LIMIT ANALYSIS OF HETEROGENEOUS MATERIALS BY GMC[J].Engineering Mechanics,2006,23(12):9-13. |
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| Authors: | CHANG Xiao-huan ZHANG Hong-tao LIU Ying-hua XU Bing-ye |
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| Affiliation: | Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China |
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| Abstract: | By introducing the generalized method of cells (GMC) into plastic limit analysis, the bearing capacity of ductile composites is studied. To reflect the microstructures of a composite, a representative volume element (REV) is first selected. A strategy for the direct computation of the limit load of a REV is then proposed with the concept of macroscopic strength domain. By means of static limit approach and finite element method, the numerical modeling of the plastic limit analysis of a composite is formulated as a nonlinear mathematical programming with constraint conditions, which can be solved by the sequential quadratic programming (SQP) method. Numerical results show that this method presents an effective tool for the strength analysis of ductile composites. |
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| Keywords: | solid mechanics ductile composite micromechanics GMC limit strength |
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