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Cosserat连续体平均场理论中的Hill定理
Alternative TitleHILL's LEMMA FOR THE AVERAGE-FIELD THEORY OF COSSERAT CONTINUUM
刘其鹏; 刘晓宇; 高月华
Source Publication工程力学
2013-08-25
Volume30Issue:8Pages:29-34
ISSN1000-4750
Abstract基于平均场理论的多尺度均匀化模拟必须满足Hill-Mandel细宏观能量等价条件,这首先需要推导Hill定理。Cosserat连续体平均场理论中,宏观平均偶应力的定义存在2种不同的方案,给Hill定理的推导带来了困难。该文构造了一个不考虑宏观平均偶应力具体表达式的Hill定理中间形式,将2种宏观偶应力定义分别代入,推导和建立了2个版本的Hill定理,并对二者做了比较和分析,为后续非均质Cosserat连续体多尺度模拟研究工作提供了理论基础。
Keyword多尺度模拟 平均场理论 Cosserat连续体 平均偶应力定义 Hill定理
Subject Area弹性力学与塑性力学
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Indexed ByEI ; CSCD
Language中文
Funding Organization国家自然科学基金项目(11202042)
CSCD IDCSCD:4907220
DepartmentLMFS工程地质体力学(LEM)
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/47474
Collection流固耦合系统力学重点实验室
Corresponding Author刘其鹏
Recommended Citation
GB/T 7714
刘其鹏,刘晓宇,高月华. Cosserat连续体平均场理论中的Hill定理[J]. 工程力学,2013,30(8):29-34.
APA 刘其鹏,刘晓宇,&高月华.(2013).Cosserat连续体平均场理论中的Hill定理.工程力学,30(8),29-34.
MLA 刘其鹏,et al."Cosserat连续体平均场理论中的Hill定理".工程力学 30.8(2013):29-34.
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