| 材料弹塑性性能数值模拟的多尺度方法 |
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| 引用本文： | 刘涛,邓子辰.材料弹塑性性能数值模拟的多尺度方法[J].固体力学学报,2007,28(1):97-101. |
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| 作者姓名： | 刘涛 邓子辰 |
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| 作者单位： | 1. 西北工业大学工程力学系,西安,710072
2. 西北工业大学工程力学系,西安,710072;大连理工大学工业装备结构分析国家重点实验室,大连,116024 |
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| 基金项目： | 国家自然科学基金
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教育部跨世纪优秀人才培养计划
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国家重点实验室基金
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西北工业大学校科研和教改项目 |
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| 摘 要： | 将均匀化方法和渐近分析(Asymptotic Analysis)与参变量变分原理相结合提出了一种模拟复合材料非线性性能的多尺度数值方法.该方法用渐近分析建立宏-细观变量之间的联系,利用参变量变分原理计算非线性响应,求解过程采用迭代算法.为提高计算精度,针对Von-Mises准则和Tsai-Hill准则,提出了一个基于参变量变分原理的改进算法,算例表明该方法可以显著消除传统方法采用线性展开式构造线性互补条件所带来的误差.
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| 关 键 词： | 复合材料 弹塑性性能 均匀化方法 参变量变分原理 |
| 修稿时间： | 2005年12月17 |
MULTISCALE ANALYSIS OF ELASTO-PLASTIC COMPOSITE MATERIAL |
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| Liu Tao,Deng Zichen.MULTISCALE ANALYSIS OF ELASTO-PLASTIC COMPOSITE MATERIAL[J].Acta Mechnica Solida Sinica,2007,28(1):97-101. |
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| Authors: | Liu Tao Deng Zichen |
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| Abstract: | A numerical method is proposed for elasto-plastic analysis of composite material.Homogenization method using asymptotic expansion is employed to establish the relations between Micro-scale and Meso-scale,while the elasto-plastic responses are solved by a proposed method based on Parametric Variational Principles.An implicit algorithm is employed,but the numerical results are not very accurate because the Parametric Variational Principles just include the first-order approximation of yielding functions in solving linear complementary problems with Lemek algorithm.Therefore,modified Parametric Variation Principles are proposed to solve non-linear complementary problems with second-order approximation of yielding functions.The result is euough accurate when both the two constituted materials satisfy the von-Mises criterion. |
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| Keywords: | composite material elsato-plastic homogenization parametric variational principles |
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