A continuous/discontinuous deformation analysis (CDDA) method based on deformable blocks for fracture modeling

doi:10.1007/s11709-013-0222-x

Front Struc Civil Eng

2013, Vol. 7

Issue (4) : 369-378 https://doi.org/10.1007/s11709-013-0222-x

RESEARCH ARTICLE

A continuous/discontinuous deformation analysis (CDDA) method based on deformable blocks for fracture modeling

Yongchang CAI(

), Hehua ZHU, Xiaoying ZHUANG

State Key Laboratory for Disaster Reduction in Civil Engineering, Department of Geotechnical Engineering, Tongji University, ?Shanghai 20092, China

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Abstract

In the framework of finite element meshes, a novel continuous/discontinuous deformation analysis (CDDA) method is proposed in this paper for modeling of crack problems. In the present CDDA, simple polynomial interpolations are defined at the deformable block elements, and a link element is employed to connect the adjacent block elements. The CDDA is particularly suitable for modeling the fracture propagation because the switch from continuous deformation analysis to discontinuous deformation analysis is natural and convenient without additional procedures. The SIFs (stress intensity factors) for various types of cracks, such as kinked cracks or curved cracks, can be easily computed in the CDDA by using the virtual crack extension technique (VCET). Both the formulation and implementation of the VCET in CDDA are simple and straightforward. Numerical examples indicate that the present CDDA can obtain high accuracy in SIF results with simple polynomial interpolations and insensitive to mesh sizes, and can automatically simulate the crack propagation without degrading accuracy.

Keywords fracture crack propagation deformable block continuous/discontinuous deformation analysis (CDDA)

Corresponding Author(s): CAI Yongchang,Email:yc_cai@163.net

Issue Date: 05 December 2013

Cite this article:

Yongchang CAI,Hehua ZHU,Xiaoying ZHUANG. A continuous/discontinuous deformation analysis (CDDA) method based on deformable blocks for fracture modeling[J]. Front Struc Civil Eng, 2013, 7(4): 369-378.

URL:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-013-0222-x
https://academic.hep.com.cn/fsce/EN/Y2013/V7/I4/369

Fig.1 Discrete model of an arbitrary analysis domain

Fig.2 Divide the block element along the crack growth direction

Fig.3 Nodal adjustment around the crack tip

Fig.4 Central-cracked plate

Tab.1 SIFs for the central-cracked plate

Fig.5 A three-point bending specimen

Tab.2 SIFs for the three-point bend specimen

Fig.6 Curved crack in an infinite plate

Fig.7 2083 discrete nodes

Tab.3 SIFs for the curved crack

Fig.8 Branched crack in an infinite plate

Tab.4 SIFs for branched crack in an infinite plate

Fig.9 3688 discrete nodes

Fig.10 PMMA beam with circle holes

Fig.11 One stage of the crack growth

Fig.12 Comparison of crack growth path between CDA solution and experiment results

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