Boundary element analysis of dissimilar materials and interface crack

Yuuki, Ryoji; Xu, Jin-Quan

doi:10.1007/bf00350279

Cited by 24 publications

(19 citation statements)

References 24 publications

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“…Section 4.2 shows the numerical results for a plate containing the bi-material interface crack in the centre under tensile load. Further, the stress intensity factors are evaluated and compared with reference solution by BEM [12,24]. Section 4.3 shows the numerical results for the test piece with a bi-material interface crack under residual stress, and the results are compared with other solutions by Yuuki using BEM [24].…”

Section: Numerical Examplesmentioning

confidence: 99%

Stress intensity factor analysis of interface cracks using X‐FEM

Nagashima

Omoto

Tani

2003

Numerical Meth Engineering

161

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SUMMARYThe extended ÿnite element method (X-FEM) proposed by Belytschko et al. (International Journal for Numerical Methods in Engineering 1999; 45:602;1999; 46:131; 50:993) uses interpolation functions based on the concept of partition of unity, and considers the asymptotic solution and the discontinuity of displacement ÿelds near a crack independently of the ÿnite element mesh. This paper describes the application of X-FEM to stress analyses of structures containing interface cracks between dissimilar materials. In X-FEM, an interface crack can be modelled by locally changing an interpolation function in the element near a crack. The energy release rate should be separated into individual stress intensity factors, K 1 and K 2 , because the stress ÿeld around the interface crack has mixed modes coupled with mode-I and mode-II. For this purpose, various evaluation methods used in conjunction with numerical methods such as FEM and BEM are reviewed. These methods are examined in numerical examples of elastostatic analyses of structures containing interface cracks using X-FEM. The numerical results show that X-FEM is an e ective method for performing stress analyses and evaluating stress intensity factors in problems related to bi-material fractures.

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Section: Numerical Examplesmentioning

confidence: 99%

Stress intensity factor analysis of interface cracks using X‐FEM

Nagashima

Omoto

Tani

2003

Numerical Meth Engineering

161

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“…When G(η) is part of the point-wise energy release rate, G gives the total energy released when the finite segment L c experinces the virtual crack advance. The relevant domain shape of the point-wise crack-tip contour integral can be obtained from eqn (2) by considering a tubular domain V surrounding the crack Fig. 3).…”

Section: J-ntegral and Stress Intensity Factor Calculationmentioning

confidence: 99%

“…The material occupying the lower half-plane has Young modulus E 2 and Poisson ratio ν 2 . Let us consider now two equilibrium states with field variables denoted by the superscripts (1) and (2). Superposition of the two equilibrium states results in another one, (1 + 2).…”

Section: J-ntegral and Stress Intensity Factor Calculationmentioning

confidence: 99%

BEMs to evaluate interface cracks

Brož¹

2010

Boundary Elements and Other Mesh Reduction Methods XXXII

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Boundary element approach to the 3D analysis of bimaterial interface cracks is put on. J-integral and stress intensity factors are calculated along the crack face employing the Energy Domain Integral and the M 1 -integral techniques. The setup numerical means is employed to analyze the problem of a fibre/matrix interface crack subject to lateral loading so as to evaluate the factors of the issues obtained from two-dimensional simulations. The obtained outcomes demonstrate the important role played by the elastic properties of the fibre, the matrix and the laminate in the mixed mode fracture condition. Numerical tests performed indicate that the multi-domain procedure is suitable for bimaterial stress analysis, and as well as competent to yield precise results of the stress intensity factors K I and K II . The multi-domain boundary contour method with possible applications to interface and dissimilar material problems and also a technique tackling with a general type of displacement and traction compatibility conditions are introduced.

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“…However, the complexity of analytical solutions even for simple cases requires the modelling of mechanical behavior of this problem using effective numerical methods. Several investigations have been developed in this domain, via the boundary element method (BEM) (Lee and Choi, 1988;Yuuki and Xu, 1994;Miyazaki et al, 1993), finite element method (FEM) (Ikeda et al, 2006), element free Galerkin method (EFGM) (Pant et al, 2011), extended finite element method (XFEM) (Nagashima et al, 2003;Liu et al, 2004;Belytschko and Gracie, 2007) and other methods (Zhou et al, 2013(Zhou et al, , 2014An et al, 2013). Recently, a large field was opened by Hughes et al (2005) offering the possibility of introducing computer aided design (CAD) tools in the analysis methods using the isoparametric concept.…”

Section: Introductionmentioning

confidence: 99%

Crack analysis in bimaterial interfaces using T-spline based XIGA

Habib

Belaidi

2017

jtam

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Analysis-suitable T-splines are used for the modeling and analyzing of cracks in bimaterial interfaces within the framework of an extended isogeometric analysis (XIGA). The crack tip enrichment functions of bimaterial interface cracks are implemented to reproduce singular fields, and the signed distance functions are used to treat the crack face and the interface in the models. A compatible local refinement algorithm is applied to refine location of the crack and the interface, which helps one to avoid produce excessive propagation of control points. The mixed mode stress intensity factors (SIFs) which are evaluated by the interaction integral (M-integral) are used as analysis parameters. Numerical simulations are performed to analyze the problem and to examine the efficiency of the proposed method. The obtained results are compared with other available results.

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Boundary element analysis of dissimilar materials and interface crack

Cited by 24 publications

References 24 publications

Stress intensity factor analysis of interface cracks using X‐FEM

Stress intensity factor analysis of interface cracks using X‐FEM

BEMs to evaluate interface cracks

Crack analysis in bimaterial interfaces using T-spline based XIGA

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