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| 微观力学中的对应原理 | |
| 引用本文： | 张淳源,张为民. 微观力学中的对应原理[J]. 湘潭大学自然科学学报, 2005, 27(1): 11-16 |
| 作者姓名： | 张淳源 张为民 |
| 作者单位： | 1. 湘潭大学,土木工程与力学学院,湖南,湘潭,411105 2. 湘潭大学,基础力学与材料工程研究所,湖南,湘潭,411105 |
| 基金项目： | 湖南省自然科学基金资助项目 (0 1JJY3 0 0 1) |
| 摘 要： | 在连续介质微观力学中,有两类基于微结构信息确定非匀质介质有效性能的基本理论:基于物理的平均场理论和基于数学的渐近均匀化理论.讨论了采用渐近均匀化理论求解具有孔洞的、具有周期性微结构的线弹性复合材料的有效弹性张量的提法、解法和步骤.以渐近均匀化方法为例,讨论了对应原理在求解微观力学线粘弹性问题中的应用 |
| 关 键 词： | 连续介质微观力学 非均匀介质 渐近均匀化理论 多尺度力学 宏观-微观关系 |
| 文章编号： | 1000-5900(2004)02-0011-06 |
| 修稿时间： | 2005-01-23 |
The Correspondence Principle in Micromechanics |
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| ZHANG Chun-yuan,ZHANG Wei-min. The Correspondence Principle in Micromechanics[J]. Natural Science Journal of Xiangtan University, 2005, 27(1): 11-16 | |
| Authors: | ZHANG Chun-yuan ZHANG Wei-min |
| Affiliation: | ZHANG Chunyuan~ |
| Abstract: | There are two basic theories in continuum micromechanics for obtaining the effective properties of a heterogeneous medium based on the information of the microstructures, the average-field theory and the asymptotic homogenization theory. In this paper, the formulation, the method and the process of solution of obtaining the effective elastic tensor for linear elastic composites with a porous body and periodic microstructures by using the asymptotic homogenization theory are discussed. Taking the asymptotic homogenization method as an example, the application of correspondence principle in micromechanics for finding the solution of linear viscoelastic problems is discussed. |
| Keywords: | continuum micromechanics heterogeneous media asymptotic homogenization theory multi-scale mechanics macro-micro relations |
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