The adaptive coupling of dual-horizon peridynamic element and finite element for the progressive failure of materials

doi:10.1007/s10704-023-00758-z

IMECH-IR > 非线性力学国家重点实验室

	The adaptive coupling of dual-horizon peridynamic element and finite element for the progressive failure of materials
	Bie, Yehui 1; Ding, Kuanjie 1; Zhao, Zhifu 1,2; Wei, Yueguang1
通讯作者	Wei, Yueguang(weiyg@pku.edu.cn)
发表期刊	INTERNATIONAL JOURNAL OF FRACTURE
	2024-02-01
卷号	245 期号:1-2 页码:89-114
ISSN	0376-9429
摘要	The peridynamic correspondence model (PDCM) provides the stress-strain relation that can introduce many classical constitutive models, however, the high computational consumption and zero-energy mode of PDCM certainly limit its further application to practical engineering crack problems. To solve these limitations and exploit the advantage of PDCM, we propose a simple and effective method that adaptively couples dual-horizon peridynamic element (DH-PDE) with finite element (FE) to simulate the quasi-static fracture problems. To this end, a stabilized dual-horizon peridynamic element for DH-PDCM is firstly developed that the peridynamic strain matrices for the bond and material point are constructed respectively. The nonlocal ordinary and correctional peridynamic element stiffness matrices are derived in detail and calculated by the proposed dual-assembly algorithm. Subsequently, a unified variational weak form of this adaptive coupling of DH-PDE and FE is proposed based on the convergence of peridynamics to the classical model in the limit of vanishing horizon. Therefore, the integrals of the peridynamic element and finite element in this coupling method are completely decoupled in the viewpoint of numerical implementation, which makes it easier to realize the proposed adaptive coupling by switching integral element. Moreover, the proposed adaptive coupling is implemented in Abaqus/UEL to optimize the calculational efficiency and real-time visualization of calculated results, which has potential for dealing with the engineering crack problems. Two-dimensional numerical examples involving mode-I and mixed-mode crack problems are used to demonstrate the effectiveness of this adaptive coupling in addressing the quasi-static fracture of cohesive materials.
关键词	Adaptive coupling Progressive failure Dual-horizon peridynamics Abaqus UEL
DOI	10.1007/s10704-023-00758-z
收录类别	SCI
语种	英语
WOS记录号	WOS:001162897500001
关键词[WOS]	STATE-BASED PERIDYNAMICS ; DYNAMIC CRACK-PROPAGATION ; FEM MESHES ; MODEL ; IMPLEMENTATION ; DEFORMATION ; FORMULATION ; STRATEGY ; GRIDS ; XFEM
WOS研究方向	Materials Science ; Mechanics
WOS类目	Materials Science, Multidisciplinary ; Mechanics
资助项目	National Natural Science Foundation of China ; Ziguang Chen from Huazhong University of Science and Technology ; [11890681] ; [12032001] ; [11521202]
项目资助者	National Natural Science Foundation of China ; Ziguang Chen from Huazhong University of Science and Technology
引用统计
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/94434
专题	非线性力学国家重点实验室
通讯作者	Wei, Yueguang
作者单位	1.Peking Univ, Coll Engn, Dept Mech & Engn Sci, Beijing 100871, Peoples R China 2.Chinese Acad Sci, LNM, Inst Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Bie, Yehui,Ding, Kuanjie,Zhao, Zhifu,et al. The adaptive coupling of dual-horizon peridynamic element and finite element for the progressive failure of materials[J]. INTERNATIONAL JOURNAL OF FRACTURE,2024,245,1-2,:89-114.
APA	Bie, Yehui,Ding, Kuanjie,Zhao, Zhifu,&Wei, Yueguang.(2024).The adaptive coupling of dual-horizon peridynamic element and finite element for the progressive failure of materials.INTERNATIONAL JOURNAL OF FRACTURE,245(1-2),89-114.
MLA	Bie, Yehui,et al."The adaptive coupling of dual-horizon peridynamic element and finite element for the progressive failure of materials".INTERNATIONAL JOURNAL OF FRACTURE 245.1-2(2024):89-114.