| 刘文辉,张新明,张淳源.均匀化方法在粘弹性多层复合材料中的应用[J].计算力学学报,2005,22(6):722~727 |
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| 均匀化方法在粘弹性多层复合材料中的应用 |
| Application of homogenization theory to viscoelastic multilayered composites |
| 修订日期：2003-12-16 |
| DOI：10.7511/jslx20056140 |
| 中文关键词: 微观力学 多层复合材料 均匀化方法 对应原理 有效松弛模量 |
| 英文关键词:micromechanics,multilayered media,homogenization,the correspondence principle,effective relaxation moduli, |
| 基金项目:湖南省自然科学基金(01JJY3001)资助项目 |
| 刘文辉 张新明 张淳源 |
| [1]中南大学材料科学与工程学院,长沙410083 [2]湘潭大学基础力学与工程材料研究所,湘潭411105 |
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| 中文摘要: |
| 主要研究了由各向同性线弹性加强体和各向同性线粘弹性基体组成的多层复合材料的问题，在已有的线弹性多层材料的均匀化方法的基础上，应用弹性一粘弹性对应原理，在Carson域中求解粘弹性多层材料的问题。通过Burgers模型表示线粘弹性基体材料，反演得到了多层材料的有效松弛模量和有效泊松比在时间域中的表达式，并且与实验结果和其他结果进行了比较。 |
| 英文摘要: |
| 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 research survey and recent progress in viscoelastic homogenization is briefly reviewed,and the problem of viscoelastic multilayered media is studied,the matrix is assumed linear and isotropic viscoelastic and the reinforcement is linear and isotropic elastic.Based on the homogenization of linear elastic multilayered media,the correspondence principle in viscoelasticity is applied and the problem in the Carson domain is solved.The inversion to the time domain of the effective relaxation moduli and the effective Poisson coefficients of multilayered media is carried out when the Burgers model is used to represent the viscoelastic behavior of the matrix.Finally,comparisons with experimental results and other results are presented. |
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