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	准脆性材料弹性损伤分析中的概率体元建模
	张明 ; 李仲奎 ; 苏霞 ; ZHANG Ming ; LI Zhong-kui ; SU Xia
	2010-06-10 ; 2010-06-10
关键词	材料力学 准脆性材料 弹性损伤 岩石破裂过程分析系统 概率体元 对数正态分布 Weibull分布 mechanics of materials quasi-brittle material elastic damage rock failure process analysis(RFPA) system probabilistic volume element lognormal distribution Weibull distribution TB39
其他题名	PROBABILISTIC VOLUME ELEMENT MODELING IN ELASTIC DAMAGE ANALYSIS OF QUASI-BRITTLE MATERIALS
中文摘要	确定材料细观单元的材料物理力学性能的概率分布,以形成细观概率体元,是对岩石、混凝土等准脆性材料进行弹性损伤模拟分析的基础,也是基于弹性损伤模型的有限元岩石破裂过程分析系统为材料非均匀赋值的依据。通过对岩石类材料破坏过程分析中采用的Weibull分布、正态分布、类Weibull分布所作的讨论和剖析,建议采用对数正态分布作为改进方法,并从理论上对所建议的概率体元模型予以说明。通过基于各种概率分布的材料本构关系的相互对比,证明所建议的概率分布适于构造弹性损伤分析中细观概率体元,可被纳入有限元岩石破裂过程分析系统的分布类型库中,同时间接证明了采用Weibull分布是合适的,也证明了正态分布和类Weibull分布在弹性损伤概率模型中则是应当排除的。; To determine the underlying probabilistic distributions of the physical and mechanical property parameters of the mesoscopic representative volume element(RVE) and to form the probabilistic volume element(PVE) models,it is a quintessential problem in the elastic damage analysis of quasi-brittle materials by means of the damage micromechanics.In particular,it is the theoretical basis of initializing the heterogeneous material properties in the famous finite element micromechanics code,rock failure process analysis(RFPA).The RFPA code and its embedded PVE model based on the Weibull distribution are introduced briefly first.Then other two historical studied PVE models based on the quasi-Weibull distribution and the normal distribution in the theoretical research for building the RFPA code are also described briefly.After the discussion and review of these PVE models in detail,a PVE model based on lognormal distribution is proposed to improve the simulation of the heterogeneity of quasi-brittle materials and to provide an alternative type of PVE model for the RFPA code.The rationality that the heterogeneity of rock-like materials is able to be described by the lognormal distribution is proved by the uncertainty analysis of the influencing factors of material properties.The lognormal PVE model is compared with these three PVE models and is verified with the complete stress-strain curves of various rocks obtained in the laboratory simply uniaxial tests.Comparisons and verifications show that,similar to Weibull distribution,the proposed lognormal distribution is suitable for the PVE modeling and agrees very well with the elastic damage constitutive relationship of quasi-brittle materials.This research also provides a circumstantial evidence that it is reasonable to use Weibull distribution in the PVE modeling and the RFPA code.In the PVE modeling in the statistical elastic damage analysis of quasi-brittle materialsl,ognormal distribution is an alternative choice besides Weibull distribution,but the normal distribution and the quasi-Weibull distribution should be excluded.
语种	中文 ; 中文
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/60405]
专题	清华大学
推荐引用方式 GB/T 7714	张明,李仲奎,苏霞,等. 准脆性材料弹性损伤分析中的概率体元建模[J],2010, 2010.
APA	张明,李仲奎,苏霞,ZHANG Ming,LI Zhong-kui,&SU Xia.(2010).准脆性材料弹性损伤分析中的概率体元建模..
MLA	张明,et al."准脆性材料弹性损伤分析中的概率体元建模".(2010).

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