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摩擦材料的位移间断条件研究
引用本文:赵纪生,陶夏新,师黎静.摩擦材料的位移间断条件研究[J].岩土力学,2006,27(11):2037-2040.
作者姓名:赵纪生  陶夏新  师黎静
作者单位:1. 中国地震局工程力学研究所,哈尔滨,150080;中国科学院,冻土工程国家重点实验室,兰州,730000
2. 中国地震局工程力学研究所,哈尔滨,150080;哈尔滨工业大学,土木工程学院,哈尔滨,150006
3. 中国地震局工程力学研究所,哈尔滨,150080
基金项目:国家自然科学基金;国家重点实验室基金
摘    要:应用势能变分原理导出了位移间断条件,它仅与材料的强度有关。同时也建立了位移间断条件与控制方程解丧失唯一性之间的联系,探讨了两者之间的异同,明确了两者等效的范围。研究结果表明:解的唯一性丧失是应用本构算了和声学张量来讨论材料刚度劣化造成的稳定问题,其条件应该等效于位移间断条件,但它没有用强度条件表示的位移间断直接,尤其是在材料的试验破坏强度明确时。

关 键 词:位移间断条件  唯一性  材料强度  声学张量
文章编号:1000-7598(2006)11-2037-04
收稿时间:2005-01-12
修稿时间:2005-01-122005-05-16

Condition of displacement jump in frictional materials
ZHAO Ji-sheng,TAO Xia-xin,SHI Li-jing.Condition of displacement jump in frictional materials[J].Rock and Soil Mechanics,2006,27(11):2037-2040.
Authors:ZHAO Ji-sheng  TAO Xia-xin  SHI Li-jing
Institution:1.Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China; 2.State Key Laboratory of Frozen Soil Engineering, CAREERI, CAS, Lanzhou 730000, China; 3.School of Civil Engineering, Harbin Institute of Technology, Harbin 150006, China
Abstract:Based on the variational principle of potential energy, displacement jump condition which depends only on material strength is derived. Moreover, the connection of displacement jump and uniqueness of governing equations is built; and equivalent scopes are verified. Uniqueness of governing equations uses constitutive/acoustic tensor to deal with material stable problem caused by stiffness degeneration, which could be equal to displacement jump condition; but it is less straightforward than the displacement jump condition described by material strength, especially, those materials whose strength can be tested easily at lab.
Keywords:displacement jump condition  uniqueness  material strength  acoustic tensor
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