Analysis of crack parameters under mixed mode loading by modified exponential matrix method

Nianga, Jean-Marie; Mejni, F.; Imad, A.; Li, J.

doi:10.1016/j.tafmec.2019.04.007

Cited by 4 publications

(5 citation statements)

References 32 publications

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“…The present computation results are shown in Table 3, compared with results in the literature [6,38], which are in good agreement and verify effectiveness of the present method. The results K I = 20.485 MPa•m 1/2 , K II = 9.8188 MPa•m 1/2 , T = 5.7802 MPa in [6] are referred as the reference solutions, the present computation results are K I = 20.490 MPa•m 1/2 , K II = 9.821 MPa•m 1/2 , T = 5.781 MPa. The relative errors of K I , K II , and T are 0.024%, 0.022% and 0.0138% respectively.…”

Section: A Slanted Single-edge Crack Platesupporting

confidence: 85%

“…The relative errors of K I , K II , and T are 0.024%, 0.022% and 0.0138% respectively. The errors of energy norm of the P-FEM solutions and relative errors of normalized SIFs comparison with Abaqus solutions [6] for the example are listed in Table 4.…”

Section: A Slanted Single-edge Crack Platementioning

confidence: 99%

“…Data is contained within the present article. Other data presented in this research are available in [6][7][8][37][38][39][40][41][42][43].…”

Section: Data Availability Statementmentioning

confidence: 99%

“…The XFEM is based on the partition of the unity finite element method, adding the step function and the asymptotic field of crack tip displacement to describe the crack, and has achieved fruitful results in the analysis and research of discontinuous problems such as crack and crack propagation [1][2][3][4][5]. The EMM [6] converts the linear, elastic, two-dimensional and steady-state equations of the crack problem into a Hamiltonian system. By changing the angular stress to the radial stress, the eigensolutions satisfying the adjoint symplectic orthogonality are obtained, and then the desired solution of the problem is obtained by using the linear combination of these eigensolutions.…”

Section: Introductionmentioning

confidence: 99%

“…Errors of energy norm of the P-FEM solutions and relative errors of normalized SIFs comparison with Abaqus solutions[6].…”

mentioning

confidence: 99%

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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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Section: A Slanted Single-edge Crack Platesupporting

confidence: 85%

Section: A Slanted Single-edge Crack Platementioning

confidence: 99%