| 弹性大变形问题中的应力状态描述、奇异性问题和余能原理 |
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| 引用本文： | 高玉臣,金明,兑关锁,朱玉萍,王志乔.弹性大变形问题中的应力状态描述、奇异性问题和余能原理[J].力学进展,2011,41(1):93-113. |
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| 作者姓名： | 高玉臣 金明 兑关锁 朱玉萍 王志乔 |
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| 作者单位： | 1. 北京交通大学土建学院力学所,北京,100044
2. 北京交通大学土建学院力学所 |
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| 基金项目： | 国家自然科学基金(90205007); 教育部博士点基金(20030004003); 国家973项目(2010CB7321004); 中国科学院非线性力学国家重点实验室开放课题(LNM201003); “北京市固体力学重点学科建设”项目资助 |
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| 摘 要： | 对弹性大变形理论中的3方面问题进行了综述.首先,对各种应变度量的共轭应力进行综述.大变形问题引起的应力状态描述的复杂性引起了许多学者的兴趣,对这个问题的研究也促进了大变形弹性理论的发展.在各种特定问题中,人们提出了不同的应力张量来描述应力状态,如Caucby应力张量、第一类和第一二类Piola-Kirchhoff应力张...
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| 关 键 词： | 大变形弹性理论 基面力 奇异性问题 余能原理 |
| 收稿时间： | 2011-01-10 |
STRESSES,SINGULARITIES,AND A COMPLEMENTARY ENERGY PRINCIPLE FOR LARGE STRAIN ELASTICITY |
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| GAO Yuchen JIN Ming DUI Guansuo Institute of Mechanics,School of Civil Engineering , Architecture,Beijing Jiaotong University,Beijing ,China.STRESSES,SINGULARITIES,AND A COMPLEMENTARY ENERGY PRINCIPLE FOR LARGE STRAIN ELASTICITY[J].Advances in Mechanics,2011,41(1):93-113. |
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| Authors: | GAO Yuchen JIN Ming DUI Guansuo Institute of Mechanics School of Civil Engineering Architecture Beijing Jiaotong University Beijing China |
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| Institution: | GAO Yuchen JIN Ming~ DUI Guansuo Institute of Mechanics,School of Civil Engineering and Architecture,Beijing Jiaotong University,Beijing 100044,China |
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| Abstract: | This article reviews three aspects of large strain elasticity. First, various conjugate stress tensors to strain tensors are reviewed. Many researchers have studied the theory of large strain elasticity. Many stress tensors including the Cauchy stress tensor, the first and the second Piola-Kirchhoff stress tensor, and the Jaumann stress tensor have been proposed to describe the stress state at a point. Recently, the first author of this article proposed a concept of base forces to reveal the essence of stre... |
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| Keywords: | large strain elasticity base forces singularity problems Complementary energy principles |
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