A strain gradient brittle fracture model based on two-scale asymptotic analysis

doi:10.1016/j.jmps.2021.104752

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	A strain gradient brittle fracture model based on two-scale asymptotic analysis
	Rao, Yipeng 1,2; Xiang, Meizhen 2; Cui, Junzhi 1
	2022-02-01
发表期刊	JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
ISSN	0022-5096
卷号	159 页码:19
摘要	Based on a two-scale asymptotic analysis procedure, we rigorously derive a new macroscopic brittle fracture model for materials with micro-cracks inside. Strain gradient effects are naturally involved in the model in the absence of any phenomenological assumptions. Coefficients of the fracture criterion are expressed in form of derivatives of the fourth-and sixth-order effective elastic tensors that are explicitly related to solutions of the first order unit cell problems. The model is numerically implemented into a finite element code. Abilities of the model to predict microstructure size effects and strain gradient effects on macro fracture behaviors are confirmed by numerical simulations. The model is also validated against experimental measurements.
关键词	Brittle fracture Strain gradient Griffith criterion Asymptotic analysis
DOI	10.1016/j.jmps.2021.104752
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11772068] ; National Natural Science Foundation of China[51739007] ; Strategic Priority Research Program of the Chinese Academy of Sciences
WOS研究方向	Materials Science ; Mechanics ; Physics
WOS类目	Materials Science, Multidisciplinary ; Mechanics ; Physics, Condensed Matter
WOS记录号	WOS:000789155600002
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60406
专题	中国科学院数学与系统科学研究院
通讯作者	Xiang, Meizhen; Cui, Junzhi
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100090, Peoples R China 2.Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
推荐引用方式 GB/T 7714	Rao, Yipeng,Xiang, Meizhen,Cui, Junzhi. A strain gradient brittle fracture model based on two-scale asymptotic analysis[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,2022,159:19.
APA	Rao, Yipeng,Xiang, Meizhen,&Cui, Junzhi.(2022).A strain gradient brittle fracture model based on two-scale asymptotic analysis.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,159,19.
MLA	Rao, Yipeng,et al."A strain gradient brittle fracture model based on two-scale asymptotic analysis".JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 159(2022):19.