| 各向同性弹性介质非线性本构方程 |
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| 引用本文： | 李忱,杨桂通,黄执中.各向同性弹性介质非线性本构方程[J].工程力学,2010(Z1). |
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| 作者姓名： | 李忱 杨桂通 黄执中 |
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| 作者单位： | 太原理工大学应用力学研究所;山西大学工程学院;北京航空航天大学; |
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| 基金项目： | 山西省自然科学基金项目(2008011007) |
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| 摘 要： | 从张量函数出发,围绕共轭应力、应变变量,研究了各向同性非线性弹性介质各种形式的本构方程以及各种形式方程之间的关系。推导出用张量不变量,标量不变量表示的两种形式非线性Green弹性介质本构方程。证明了方程是完备的,不可约的。作为应用举例,研究了橡胶材料的工程应用问题。
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| 关 键 词： | 非线性 本构方程 不变量 共轭应力-应变 张量函数 |
ON CONSTITUTIVE EQUATIONS OF ISOTROPIC NON-LINEAR ELASTIC MEDIUM |
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| LI Chen,YANG Gui-tong,HUANG Zhi-zhong.ON CONSTITUTIVE EQUATIONS OF ISOTROPIC NON-LINEAR ELASTIC MEDIUM[J].Engineering Mechanics,2010(Z1). |
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| Authors: | LI Chen YANG Gui-tong HUANG Zhi-zhong |
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| Affiliation: | LI Chen1,2,YANG Gui-tong1,HUANG Zhi-zhong3 (1.Institute of Applied Mechanics,Taiyuan University of Technology,Taiyuan,Shanxi 030024,China,2.Engineering College of Shanxi University,Shanxi 030013,3.Beijing University of Aeronautics and Astronautics,Beijing 100191,China) |
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| Abstract: | By means of tensor function,conjugate variables of stress and strain,the different constitutive equations of isotropic non-linear elastic medium and the relations between different equation forms are studied.The constitutive equations of non-linear Green elastic medium in terms of tensor invariables and scalar invariables are deduced.It is proved that the equations are complete and irreducible.Finally the constitutive equations are applied to rubber materials as an illustration of engineering practice. |
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| Keywords: | non-linear constitutive equation invariant conjugate stress and strain tensor function |
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