3D-DDM Simulation of Crack Propagation of Non-Linear Deformation Structural Plane

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Abstract:

Structural plane is different from common crack, as it is often under pressure and has non-linear normal and tangential deformation behavior. This paper simulates the propagation of non-linear deformation structural plane by 3D displacement discontinuity method (DDM). Through least square regression of the elements near the tip, the stress intensity factor (SIF) of the tip is obtained. Maximum energy release rate criterion is adopted to be the fracture criterion in this paper, assuming the propagation occurred in the normal plane of the front edge, KI is modified to consider the effect of mode Ⅲ crack. The structural plane model is considered as a hyperbolic non-linear model, the Barton-Bandis model is adopted as the normal deformation model, the Kulhaway model is adopted as the tangential deformation model, and the Mohr-Coulomb criterion is adopted as the shear strength criterion. The result shows that the propagation direction is along the direction of the load, DDM could efficiently trace this process.

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Periodical:

Advanced Materials Research (Volumes 368-373)

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2673-2678

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October 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Červenka J. Discrete Crack Modeling in Concrete Structures [D]. Boulder: University of Colorado,1994.

Google Scholar

[2] Galdos R. A Finite Element Technique to Simulate the Stable Shape Evolution of Planar Cracks with an Application to a Semi-elliptical Surface Crack in a Bimaterial Finite Solid [J], Int. J. Numer. Meth. Engng, 1997, 40(5): 905–917.

DOI: 10.1002/(sici)1097-0207(19970315)40:5<905::aid-nme94>3.0.co;2-3

Google Scholar

[3] Gravouil A, Moe¨s N, Belytschko T. Non-planar 3D crack growth by the extended finite element and level sets–part II:level set update. Int J Numer Meth Engng. 2002,53:2569-86.

DOI: 10.1002/nme.430

Google Scholar

[4] Areias PMA, Belytschko T.. Non-linear analysis of shells with arbitrary evolving cracks using XFEM [J]. Int J Numer Meth Engng , 2005,62:384-415.

DOI: 10.1002/nme.1192

Google Scholar

[5] Mi Y. Three-dimensional Analysis of Crack Growth [M]. Southampton: Computational Mechanics Publications, 1996.

Google Scholar

[6] Cisilino A P, Aliabadi M H. Three-dimensional Boundary Element Analysis of Fatigue Crack Growth in Linear and Non-linear Fracture Problems [J]. Engineering Fracture Mechanics, 1999, 63(6): 713–733.

DOI: 10.1016/s0013-7944(99)00047-8

Google Scholar

[7] Krysl P, Belytschko T. The Element-Free Galerkin Method for Dynamic Propagation of Arbitrary 3-D Cracks [J]. Int. J. Numer. Meth. Engng, 1999, 44(6): 767–800.

DOI: 10.1002/(sici)1097-0207(19990228)44:6<767::aid-nme524>3.0.co;2-g

Google Scholar

[8] Stephane Bordas, Timon Rabczuk, Goangseup Zi. Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment[J].Engineering Fracture Mechanics,2008,75(5): 973-960.

DOI: 10.1016/j.engfracmech.2007.05.010

Google Scholar

[9] Huang X C, Gu J C, Xia X H. Numerical Analysis on Crack Propagation under Compressing Load by Displacement Discontinuity Method [J]. Journal of Shanghai Jiao Tong University, 2001, 35(10): 1486–1490. (in Chinese).

Google Scholar

[10] Yan X Q. Automated Simulation of Fatigue Crack Propagation for Two-dimensional Linear Elastic Fracture Mechanics Problems by Boundary Element Method [J]. Engineering Fracture Mechanics, 2007, 74(14): 2225–2246.

DOI: 10.1016/j.engfracmech.2006.10.020

Google Scholar

[11] Matthias S, Hans A R, Gunter K. A New Criterion for the Prediction of Crack Development in Multiaxially Loaded Structures [J]. International Journal of Fracture, 2002, 117(2): 129–144.

Google Scholar

[12] Dobroskok A, Ghassemi A, Linkov A. Extended Structural Criterion for Numerical Simulation of Crack Propagation and Coalescence under Compressive Loads [J]. International Journal of Fracture, 2005, 133(3): 223–246.

DOI: 10.1007/s10704-005-4042-4

Google Scholar

[13] Bandis S C, Lumden A C, Barton N R. Fundamentals of Rock Joint Deformation[J]. International Journal of Rock Mechanics Mining Science and Geomechanics Abstracts,1983, 20(6): 249-268.

DOI: 10.1016/0148-9062(83)90595-8

Google Scholar

[14] Barton N R, Bandis S C, Bakhtar K. Strength, deformation and conductivity coupling of rock joints[J]. International Journal of Rock Mechanics Mining Science and Geomechanics Abstracts,1985, 22(3): 121-140.

DOI: 10.1016/0148-9062(85)93227-9

Google Scholar

[15] Kulhaway F. H. Stress-deformation properties of rock and rock discontinuities[J]. Engineering geology. 1975,9(4):327-350.

DOI: 10.1016/0013-7952(75)90014-9

Google Scholar