A phase field framework for dynamic adiabatic shear banding

doi:10.1016/j.jmps.2019.103810

	A phase field framework for dynamic adiabatic shear banding
	Xu, Yun 1; Ming, Pingbing 2,4; Chen, Jun 1,3
刊名	JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
	2020-02-01
卷号	135 页码:19
关键词	Phase field Variational formulation Adiabatic shear bands Strain gradient theory Finite element simulation
ISSN号	0022-5096
DOI	10.1016/j.jmps.2019.103810
英文摘要	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.
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
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000508491300027
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50591]
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Peking Univ, Ctr Appl Phys & Technol, Beijing 100871, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Beijing 100190, 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.