BEM analysis of fracture problems in three-dimensional thermoelasticity using J-integral

dell’Erba, D.N.; Aliabadi, M.H.

doi:10.1016/s0020-7683(00)00305-x

Cited by 27 publications

(9 citation statements)

References 12 publications

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“…From there, many works have been developed in the area, such as dell'Erba and Aliabadi (2001) who developed a DBEM methodology to solve 3D thermo-elasticity problems using the J-integral for evaluating the SIF. Dirgantara and Aliabadi (2002) used the DBEM to obtain mixed mode SIF values for cracked thin plates using crack surface displacement extrapolation and the J-integral technique.…”

Section: Introductionmentioning

confidence: 99%

A New Displacement-based Approach to Calculate Stress Intensity Factors With the Boundary Element Method

González

Teixeira

Wrobel

et al. 2015

Lat. Am. j. solids struct.

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The analysis of cracked brittle mechanical components considering linear elastic fracture mechanics is usually reduced to the evaluation of stress intensity factors (SIFs). The SIF calculation can be carried out experimentally, theoretically or numerically. Each methodology has its own advantages but the use of numerical methods has become very popular. Several schemes for numerical SIF calculations have been developed, the J-integral method being one of the most widely used because of its energy-like formulation. Additionally, some variations of the J-integral method, such as displacementbased methods, are also becoming popular due to their simplicity. In this work, a simple displacement-based scheme is proposed to calculate SIFs, and its performance is compared with contour integrals. These schemes are all implemented with the Boundary Element Method (BEM) in order to exploit its advantages in crack growth modelling. Some simple examples are solved with the BEM and the calculated SIF values are compared against available solutions, showing good agreement between the different schemes.

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Section: Introductionmentioning

confidence: 99%

A New Displacement-based Approach to Calculate Stress Intensity Factors With the Boundary Element Method

González

Teixeira

Wrobel

et al. 2015

Lat. Am. j. solids struct.

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“…For growing cracks, however, a numerical method that predicts the SIFs during the propagation without the burden of building a conforming mesh may 828 M. DUFLOT be preferred. One such method is the boundary element method which was applied to thermoelastic fracture mechanics in a number of papers (see [4][5][6][7][8][9] in two dimensions and [10][11][12][13] in three dimensions). Another method, which catches a lot of attention in the computational fracture mechanics community since its inception in 1999, is the extended finite element method (XFEM) [14,15].…”

Section: Introductionmentioning

confidence: 99%

The extended finite element method in thermoelastic fracture mechanics

Duflot

2007

Numerical Meth Engineering

194

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SUMMARYThe extended finite element method (XFEM) is applied to the simulation of thermally stressed, cracked solids. Both thermal and mechanical fields are enriched in the XFEM way in order to represent discontinuous temperature, heat flux, displacement, and traction across the crack surface, as well as singular heat flux and stress at the crack front. Consequently, the cracked thermomechanical problem may be solved on a mesh that is independent of the crack. Either adiabatic or isothermal condition is considered on the crack surface. In the second case, the temperature field is enriched such that it is continuous across the crack but with a discontinuous derivative and the temperature is enforced to the prescribed value by a penalty method. The stress intensity factors are extracted from the XFEM solution by an interaction integral in domain form with no crack face integration. The method is illustrated on several numerical examples (including a curvilinear crack, a propagating crack, and a three-dimensional crack) and is compared with existing solutions.

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“…The DBEM overcomes the problem of the coincident points on the crack surfaces by introducing additional independent boundary integral equations: the flux and traction equations. The DBEM for thermoelasticity used in this work follows that proposed by dell'Erba and Aliabadi [8].…”

Section: The Dual Boundary Element Methods For Thermoelasticitymentioning

confidence: 99%

“…The study of thermal stresses is stimulated by the need to assess the engineering integrity and life expectancy of thermally stressed components, either under service conditions or during the design and stress fields are separated. It is worth noting that the method due to dell'Erba and Aliabadi [8,9] is based on the work by Rigby and Aliabadi [21], who gave the proper decomposition of the crack stress field in their symmetric and antisymmetric parts, by showing that the expressions used in previous papers were incorrect.…”

Section: Introductionmentioning

confidence: 99%

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Boundary element analysis of three‐dimensional mixed‐mode thermoelastic crack problems using the interaction and energy domain integrals

Balderrama

Cisilino

Martínez

2007

Numerical Meth Engineering

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SUMMARYA three-dimensional boundary element method (BEM) implementation of the interaction integral methodology for the numerical analysis of mixed-mode three-dimensional thermoelastic crack problems is presented in this paper. The interaction integral is evaluated from a domain representation naturally compatible with the BEM, since stresses, strains, temperatures and derivatives of displacements and temperatures at internal points can be evaluated using the appropriate boundary integral equations. Several examples are analysed and the results compared with those available in the literature to demonstrate the efficiency and accuracy of the implementation to solve straight and curved crack-front problems.

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BEM analysis of fracture problems in three-dimensional thermoelasticity using J-integral

Cited by 27 publications

References 12 publications

A New Displacement-based Approach to Calculate Stress Intensity Factors With the Boundary Element Method

A New Displacement-based Approach to Calculate Stress Intensity Factors With the Boundary Element Method

The extended finite element method in thermoelastic fracture mechanics

Boundary element analysis of three‐dimensional mixed‐mode thermoelastic crack problems using the interaction and energy domain integrals

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