| 非线性粘弹性理论及其应用研究进展 |
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| 引用本文： | 张淳源,张为民.非线性粘弹性理论及其应用研究进展[J].湘潭大学自然科学学报,2003,25(4):28-32,44. |
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| 作者姓名： | 张淳源 张为民 |
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| 作者单位： | 1. 湘潭大学建筑工程系,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 |
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| 基金项目： | 湖南省自然科学基金资助项目(01JJY3001)，湖南省教育厅资助项目(01C083) |
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| 摘 要： | 评述了近年来关于非线性粘弹性理论及其应用的研究进展，着重介绍分数指数模型的松弛模量和蠕变柔量、非线性粘弹性本构关系、求解非线性粘弹性问题的弹性回复对应原理、弹性回复对应原理在断裂力学中的应用、非匀质粘弹性材料的连续介质微观力学等的研究概况，展望了该研究的应用前景。
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| 关 键 词： | 非线性粘弹性理论 弹性回复对应原理 HRR奇异场 裂纹尖端高阶渐近场 裂纹扩展速度 宏细观非线性粘 弹性本构关系 非匀质粘弹性材料的连续介质微观力学 有效性能 均匀化理论 |
| 文章编号： | 1000-5900(2003)04-0028-05 |
Research Progresses on Nonlinear Viscoelasticity and its Aapplications |
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| ZHANG Chun - yuan,ZHANG Wei - min.Research Progresses on Nonlinear Viscoelasticity and its Aapplications[J].Natural Science Journal of Xiangtan University,2003,25(4):28-32,44. |
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| Authors: | ZHANG Chun - yuan ZHANG Wei - min |
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| Abstract: | The aim of this paper is to give a review on the recent research progresses of nonlinear viscoelasticily and its applications. The introduction will lay emphasis on the research survey and the vista of the relaxation modulus and creep compliance of the fractional exponential model, the nonlinear viscoelaslic constitutive relations, the elasticity recovery correspondence principles for solving the nonlinear viscoelastic problems, the applications of the elasticity recovery correspondence principle in fracture mechanics and the continuum micromechanics of heterogeneous viscoelastic materials, etc. |
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| Keywords: | nonlinear viscoelastic theory the elasticity recovery correspondence principle HRR singular fields high - order asymptotic crack - tip fields crack propagation speed macro - micro nonlinear viscoelastic constitutive relations continuum mi |
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