A phase field framework for dynamic adiabatic shear banding

doi:10.1016/j.jmps.2019.103810

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	A phase field framework for dynamic adiabatic shear banding
	Xu, Yun 1; Ming, Pingbing 2,3; Chen, Jun 1,4
	2020-02-01
发表期刊	JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
ISSN	0022-5096
卷号	135 页码:19
摘要	We present a general variational formulation of phase field framework for dynamic adiabatic shear banding (ASBing). The ASB surface energy is derived from the Griffith's regularized ASB surface function, and the concept of shear banding energy density that characterized by the energy jump contour integral. We reveal that the ASB phase field formulation reduces to a standard strain-gradient plasticity model by energy minimization and ASB canonical analysis, which indicates that strain-gradient regularization for problems involving strain softening has been incorporated reasonably. The phase-field and plasticity coupled constitutive relations are developed within an atomistic potentials consistent hyperelastic-plasticity framework. The degraded volumetric strain energy governs the elastic responses, while the degraded deviatoric strain energy, as well as the ASB surface energy, accounts for the combined effects of shear localization, plasticity and fracture, which directly relates energy dissipation to the evolution of dynamic ASBs. Numerical simulations demonstrate the ability of this predictive ASB phase field framework in capturing discontinuous surfaces, and the removal of pathological mesh-dependence. (C) 2019 Elsevier Ltd. All rights reserved.
关键词	Phase field Variational formulation Adiabatic shear bands Strain gradient theory Finite element simulation
DOI	10.1016/j.jmps.2019.103810
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11572053] ; National Natural Science Foundation of China[11772067] ; National Natural Science Foundation of China[11971467] ; CAEP Foundation of China[CX2019032] ; National Natural Science Foundation of Distinguished Young Scholars[11425106]
WOS研究方向	Materials Science ; Mechanics ; Physics
WOS类目	Materials Science, Multidisciplinary ; Mechanics ; Physics, Condensed Matter
WOS记录号	WOS:000508491300027
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/50592
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Jun
作者单位	1.Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Peking Univ, Ctr Appl Phys & Technol, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Xu, Yun,Ming, Pingbing,Chen, Jun. A phase field framework for dynamic adiabatic shear banding[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,2020,135:19.
APA	Xu, Yun,Ming, Pingbing,&Chen, Jun.(2020).A phase field framework for dynamic adiabatic shear banding.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,135,19.
MLA	Xu, Yun,et al."A phase field framework for dynamic adiabatic shear banding".JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 135(2020):19.