Prediction on nonlinear mechanical performance of random particulate composites by a statistical second-order reduced multiscale approach

doi:10.1007/s10409-020-01025-3

	Prediction on nonlinear mechanical performance of random particulate composites by a statistical second-order reduced multiscale approach
	Yang, Zhiqiang 1; Sun, Yi 1; Liu, Yizhi 1; Cui, Junzhi 2
刊名	ACTA MECHANICA SINICA
	2021-01-06
页码	19
关键词	SSRM algorithms Reduced order homogenization Homogenization Random composites
ISSN号	0567-7718
DOI	10.1007/s10409-020-01025-3
英文摘要	A novel statistical second-order reduced multiscale (SSRM) approach is established for nonlinear composite materials with random distribution of grains. For these composites considered in this work, the complex microstructure of grains, including their shape, orientation, size, spatial distribution, volume fraction and so on, results in changing of the macroscopic mechanical properties. The first- and second-order unit cell functions based on two-scale asymptotic expressions are constructed at first. Then, the expected homogenized parameters are defined, and the nonlinear homogenization equation on global structure is established, successively. Further, an effective reduced model format for analyzing second-order nonlinear unit cell problem with less computation cost is introduced in detail. Finally, some numerical examples for the materials with varying distribution models are evaluated and compared with the data by theoretical models and experimental results. These examples illustrate that the proposed SSRM approaches are effective for predicting the macroscopic properties of the random composite materials and supply a potential application in actual engineering computation.
资助项目	National Natural Science Foundation of China[11701123] ; Fundamental Research Funds for the Central Universities[HIT.NSRIF.2020017]
WOS研究方向	Engineering ; Mechanics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000605515700002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/57970]
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Zhiqiang; Liu, Yizhi
作者单位	1.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Peoples R China 2.Chinese Acad Sci, ICMSEC, LSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, Zhiqiang,Sun, Yi,Liu, Yizhi,et al. Prediction on nonlinear mechanical performance of random particulate composites by a statistical second-order reduced multiscale approach[J]. ACTA MECHANICA SINICA,2021:19.
APA	Yang, Zhiqiang,Sun, Yi,Liu, Yizhi,&Cui, Junzhi.(2021).Prediction on nonlinear mechanical performance of random particulate composites by a statistical second-order reduced multiscale approach.ACTA MECHANICA SINICA,19.
MLA	Yang, Zhiqiang,et al."Prediction on nonlinear mechanical performance of random particulate composites by a statistical second-order reduced multiscale approach".ACTA MECHANICA SINICA (2021):19.