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Dual-variable-horizon peridynamics and continuum mechanics coupling modeling and adaptive fracture simulation in porous materials
Shen Shangkun1; Yang Zihao1; Cui Junzhi1,2; Zhang Jieqiong3
2022-10-12
发表期刊ENGINEERING WITH COMPUTERS
ISSN0177-0667
页码21
摘要In this paper, we present a hybrid dual-variable-horizon peridynamics/continuum mechanics modeling approach and a strength-induced adaptive coupling algorithm to simulate brittle fractures in porous materials. Peridynamics theory is promising for fracture simulation since it allows discontinuities in the displacement field. However, they remain computationally expensive. Besides, there exists the surface effect in peridynamics due to the incomplete neighborhoods near the boundaries, including the outer boundaries and the boundaries of inner pores in porous materials. The proposed approach couples continuum mechanics and peridynamics into a closed equation system and an adaptive algorithm is developed to activate the peridynamics according to a strength criterion. In addition, the surface effect is corrected by introducing an improved peridynamic model with dual and variable horizons. We conduct the simulations using the relevant discretization scheme in each domain, i.e., the discontinuous Galerkin finite-element in the peridynamic domain and the continuous finite-element in the continuum mechanics domain. Two-dimensional numerical examples illustrate that successful fracture simulations of random porous materials can be achieved by this approach. In addition, the impact of distribution and size of pores on the fractures of porous materials is also investigated.
关键词Porous materials Peridynamics Surface correction Hybrid model Adaptive algorithm Fracture simulation
DOI10.1007/s00366-022-01730-6
收录类别SCI
语种英语
资助项目Strategic Priority Research Program of the Chinese Academy of Sciences[XDC06030102] ; Aeronautical Science Foundation of China[2020001053002] ; National Key R&D Program of China[2020YFA0713603] ; National Natural Science Foundation of China[51739007]
WOS研究方向Computer Science ; Engineering
WOS类目Computer Science, Interdisciplinary Applications ; Engineering, Mechanical
WOS记录号WOS:000866326200001
出版者SPRINGER
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/60869
专题中国科学院数学与系统科学研究院
通讯作者Yang Zihao
作者单位1.Northwestern Polytech Univ, Sch Math & Stat, Xian 710072, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China
3.Northwest Univ, Sch Math, Xian 710127, Peoples R China
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Shen Shangkun,Yang Zihao,Cui Junzhi,et al. Dual-variable-horizon peridynamics and continuum mechanics coupling modeling and adaptive fracture simulation in porous materials[J]. ENGINEERING WITH COMPUTERS,2022:21.
APA Shen Shangkun,Yang Zihao,Cui Junzhi,&Zhang Jieqiong.(2022).Dual-variable-horizon peridynamics and continuum mechanics coupling modeling and adaptive fracture simulation in porous materials.ENGINEERING WITH COMPUTERS,21.
MLA Shen Shangkun,et al."Dual-variable-horizon peridynamics and continuum mechanics coupling modeling and adaptive fracture simulation in porous materials".ENGINEERING WITH COMPUTERS (2022):21.
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