Triangular element partition method with consideration of crack tip

doi:10.1007/s11431-013-5267-5

CORC > 武汉岩土力学研究所 > 中科院武汉岩土力学所 > 岩土力学所知识全产出 > 期刊论文

	Triangular element partition method with consideration of crack tip
	Zhang ZhenNan 1; Zheng Hong 2; Ge XiuRun 1
刊名	SCIENCE CHINA-TECHNOLOGICAL SCIENCES
	2013
卷号	56 期号:8 页码:2081-2088
关键词	triangular element partition method crack tip element fracture simulation multi-cracked body
ISSN号	1674-7321
DOI	10.1007/s11431-013-5267-5
英文摘要	In fracture simulation, how to model the pre-existing cracks and simulate their propagation without remeshing is an important topic. The newly developed triangular element partition method (TEPM) provides an efficient approach to this problem. It firstly meshes the cracked body regardless of the geometry integrity of the interesting object with triangular elements. After the meshing procedure is completed, some elements are intersected by cracks. For the element intersected by a crack, the TEPM takes the element partition technique to incorporate the discontinuity into the numerical model without any interpolation enrichment. By this approach, the TEPM can simulate fracture without mesh modification. In the TEPM, all the cracked elements are treated as the usual partitioned elements in which the crack runs through. The virtual node pairs (the intersection points of crack faces and elements) at the opposite faces of the crack move independently. Their displacements are respectively determined by their neighbor real nodes (nodes formatted in the original mesh scheme) at the same side of the crack. However, among these cracked elements, the element containing a crack tip, referred to as the crack tip element thereafter, behaves differently from those cut through by the crack. Its influence on the singular field at the vicinity of the fracture tip becomes increasingly significant with the element size increasing. In the crack tip element, the virtual node pair at the crack tip move consistently before fracture occurs while the virtual node pair separate and each virtual node moves independently after the fracture propagates. Accordingly, the crack tip element is automatically transformed into the usual partitioned element. In the present paper, the crack tip element is introduced into the TEPM to account for the effect of the crack tip. Validation examples indicate that the present method is almost free from the element size effect. It can reach the same precision as the conventional finite element method under the same meshing scheme. But the TEPM is much more efficient and convenient than the conventional finite element method because the TEPM avoids the troubles that the conventional finite element method suffers, e.g., the meshing problem of cracked body, modification of mesh scheme, etc. Though the extended finite element method can also avoid these troubles, it introduces extra degrees of freedom due to node interpolation enrichment. Due to the simplicity of the present TEPM, it is believed that its perspective should be highly inspiring.
WOS研究方向	Engineering ; Materials Science
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000322525800029
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/3484]
专题	岩土力学所知识全产出_期刊论文
作者单位	1.Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn ; 2.Chinese Acad Sci, Inst Rock & Soil Mech
推荐引用方式 GB/T 7714	Zhang ZhenNan,Zheng Hong,Ge XiuRun. Triangular element partition method with consideration of crack tip[J]. SCIENCE CHINA-TECHNOLOGICAL SCIENCES,2013,56(8):2081-2088.
APA	Zhang ZhenNan,Zheng Hong,&Ge XiuRun.(2013).Triangular element partition method with consideration of crack tip.SCIENCE CHINA-TECHNOLOGICAL SCIENCES,56(8),2081-2088.
MLA	Zhang ZhenNan,et al."Triangular element partition method with consideration of crack tip".SCIENCE CHINA-TECHNOLOGICAL SCIENCES 56.8(2013):2081-2088.