Thermal stress singularity analysis for V-notches by natural boundary element method

Chen, Cheng; Ge, Shenyu; Yao, Shanlong; Niu, Zhongrong

doi:10.1016/j.apm.2016.05.028

Cited by 13 publications

(4 citation statements)

References 40 publications

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“…To achieve high computational accuracy, the integrals with singularity in the DBEM must be accurately computed [9,12,15,[19][20][21][22][23][24][25][26][27]. In this section, the singular integral is gradually computed through three steps.…”

Section: Regularization Of Singular Integralsmentioning

confidence: 99%

“…For solutions of crack problems, the dual boundary element method (DBEM), which is originated from the BEM, is a more general and efficient method than other extension methods [6,[10][11][12][13][14][15] in the range of BEMs, such as the multidomain BEM [16], the symmetric Galerkin boundary element method [17,18], and the displacement discontinuity method [11]. In this method, crack front elements are widely employed.…”

Section: Introductionmentioning

confidence: 99%

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A Generation of Special Triangular Boundary Element Shape Functions for 3D Crack Problems

Xie

Zhou

2020

Mathematical Problems in Engineering

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This paper focuses on tackling the two drawbacks of the dual boundary element method (DBEM) when solving crack problems with a discontinuous triangular element: low accuracy of the calculation of integrals with singularity and crack front element must be utilized to model the square-root property of displacement. In order to calculate the integrals with higher order singularity, the triangular elements are segmented into several subregions which consist of subtriangles and subpolygons. The singular integrals in those subtriangles are handled by the singularity subtraction technique in the integration space and can be regularized and accurately calculated. For the nearly singular integrals in those subpolygons, the element subdivision technique is employed to improve the calculation accuracy. In addition, considering the location of the crack front in the element, special crack front elements are constructed based on a 6-node discontinuous triangular element, in which the displacement extrapolation method is introduced to obtain the stress intensity factors (SIFs) without consideration of orthogonalization of the crack front mesh. Several numerical results are investigated to fully verify the validation of the presented approach.

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Section: Regularization Of Singular Integralsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Generation of Special Triangular Boundary Element Shape Functions for 3D Crack Problems

Xie

Zhou

2020

Mathematical Problems in Engineering

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“…Two‐dimensional (2D) solutions of singular stress fields for V‐shape corners are studied by a lot of scholars in recent years, and various methods of problem solving are coming up all the times . However, most V‐shape corners in real materials and structures are in three‐dimensional (3D) shape, and a 2D model considers only a cross section of a 3D model.…”

Section: Introductionmentioning

confidence: 99%

“…Two-dimensional (2D) solutions of singular stress fields for V-shape corners are studied by a lot of scholars in recent years, and various methods of problem solving are coming up all the times. 6,[9][10][11][12][13][14][15][16][17][18][19][20] However, most V-shape corners in real materials and structures are in three-dimensional (3D) shape, and a 2D model considers only a cross section of a 3D model. Some 3D cases of V-shape corners, such as plane strain and axisymmetric problems, can be treated as 2D corners.…”

Section: Introductionmentioning

confidence: 99%

Intensity of stress singularity for the circumferential V‐shape corner front of a three‐dimensional diamond‐like defect

Ping

Zhang

Guo

et al. 2020

Fatigue Fract Eng Mat Struct

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Three‐dimensional diamond‐like defects with circumferential V‐shape corner fronts are often contained in engineering materials. In this paper, generalized stress intensity factors are calculated for this type of defect using a modified advanced finite element method. A super corner front element model in the global coordinates is established to capture the stress singularities along the circumferential corner front. Three‐dimensional numerical series eigen‐solutions in the element have been transformed from asymptotic expressions in the local curvilinear coordinates. The element is suitable for a sharp V‐shape corner with arbitrary opening and inclination angle. Singular stress fields near various shapes of diamond‐like defects are systematically investigated. The interaction of an embedded defect with free surface or another identical defect is also investigated. The numerical results can be used as stress intensity parameters to predict fatigue strength at circumferential corner front of a diamond‐like defect.

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A State Space Boundary Element Method with Analytical Formulas for Nearly Singular Integrals

Cheng

Pan

Han

et al. 2018

Acta Mech. Solida Sin.

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Thermal stress singularity analysis for V-notches by natural boundary element method

Cited by 13 publications

References 40 publications

A Generation of Special Triangular Boundary Element Shape Functions for 3D Crack Problems

A Generation of Special Triangular Boundary Element Shape Functions for 3D Crack Problems

Intensity of stress singularity for the circumferential V‐shape corner front of a three‐dimensional diamond‐like defect

A State Space Boundary Element Method with Analytical Formulas for Nearly Singular Integrals

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