Influence of p-method finite element parameters on predictions of crack front geometry

Wowk, Diane; Gamble, Kyle; Underhill, Ross

doi:10.1016/j.finel.2013.04.007

Cited by 8 publications

(2 citation statements)

References 14 publications

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“…Generally, the p-version FEM is superior to the traditional h-version FEM. The application of the p-version FEM in three dimensions, including in three -dimensional linear elastic fracture analysis, can be found in [ 21 , 22 , 23 , 24 , 25 , 26 , 27 ].…”

Section: P-version Finite Element Methods and Contour Integral Methods In Three Dimensionsmentioning

confidence: 99%

Direct Computation of 3-D Stress Intensity Factors of Straight and Curved Planar Cracks with the P-Version Finite Element Method and Contour Integral Method

Zhang

et al. 2021

Materials

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This paper presents direct computations of 3-D fracture parameters including stress intensity factors (SIFs) and T-stress for straight and curved planar cracks with the p-version finite element method (P-FEM) and contour integral method (CIM). No excessive singular element or enrichment function is required for the computation. To demonstrate the accuracy and efficiency of the proposed approaches, several benchmark numerical models of 3-D planar straight and curved cracks with single and mixed-mode fractures are considered and analyzed: a through thickness edge straight crack in a homogeneous material, a through thickness inclined straight crack, a penny-shaped crack embedded in a cube and a central ellipse shaped crack in a homogeneous cube. Numerical results are analyzed and compared with analytical solutions and those reported by the extended finite element method (XFEM) and the scaled boundary finite element method (SBFEM) in the available literature. Numerical experiments show the accuracy, robustness and effectiveness of the present method.

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Section: P-version Finite Element Methods and Contour Integral Methods In Three Dimensionsmentioning

confidence: 99%

Direct Computation of 3-D Stress Intensity Factors of Straight and Curved Planar Cracks with the P-Version Finite Element Method and Contour Integral Method

Zhang

et al. 2021

Materials

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“…In the three-dimensional elastic viscoelastic problems in the hydraulic structure [20], seepage analysis [21], the mechanical response of the arteries in the field of biomechanics of bone problems [22] and sandwich and Kirchhoff plate deformation analysis [23,24], the P-FEM has been also successfully applied. The application of P-FEM in elastic fracture mechanics (including the calculation of SIF and predicting the growth of irregular crack fronts) can be found in references [25][26][27][28][29].…”

Section: Development Of P-femmentioning

confidence: 99%

Direct Evaluation of the Stress Intensity Factors for the Single and Multiple Crack Problems Using the P-Version Finite Element Method and Contour Integral Method

Zhang

Yang

2021

Applied Sciences

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Stress intensity factor (SIF) is one of three important parameters in classical linear elastic fracture mechanics (LEFM). The evaluation of SIFs is of great significance in the field of engineering structural and material damage assessment, such as aerospace engineering and automobile industry, etc. In this paper, the SIFs of a central straight crack plate, a slanted single-edge cracked plate under end shearing, the offset double-edge cracks rectangular plate, a branched crack in an infinite plate and a crucifix crack in a square plate under bi-axial tension are extracted by using the p-version finite element method (P-FEM) and contour integral method (CIM). The above single- and multiple-crack problems were investigated, numerical results were compared and analyzed with results using other numerical methods in the literature such as the numerical manifold method (NMM), improved approach using the finite element method, particular weight function method and exponential matrix method (EMM). The effectiveness and accuracy of the present method are verified.

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Extraction of Stress Intensity Factors by Using the P-Version Finite Element Method and Contour Integral Method

Zhang

2020

Acta Mech. Solida Sin.

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Influence of p-method finite element parameters on predictions of crack front geometry

Cited by 8 publications

References 14 publications

Direct Computation of 3-D Stress Intensity Factors of Straight and Curved Planar Cracks with the P-Version Finite Element Method and Contour Integral Method

Direct Computation of 3-D Stress Intensity Factors of Straight and Curved Planar Cracks with the P-Version Finite Element Method and Contour Integral Method

Direct Evaluation of the Stress Intensity Factors for the Single and Multiple Crack Problems Using the P-Version Finite Element Method and Contour Integral Method

Extraction of Stress Intensity Factors by Using the P-Version Finite Element Method and Contour Integral Method

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