Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model

Bajpai, Saumya; Goswami, Deepjyoti; Ray, Kallol

doi:10.1016/j.camwa.2022.11.013

Cited by 3 publications

(1 citation statement)

References 29 publications

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“…In the study of crack extension, the most representative numerical methods are: Finite Element Method [3][4][5][6],boundary element method [7][8] etc. However, these methods have certain problems in solving large scale ship fracture problems, for example, the traditional finite element must consider the defects inside the object when dividing the mesh, making the cell boundary consistent with the geometric boundary, which inevitably forms a local mesh encryption, and the rest This inevitably results in a non-uniform mesh distribution of the regional coefficients, which greatly increases the computational cost, and therefore it is difficult to balance the computational cost and the computational scale when solving the local fracture problem of some large ships.…”

Section: Introductionmentioning

confidence: 99%

Multi-Scale Model Crack Extension Study Based on XFEM

Liu¹,

Chen²

2023

Preprint

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The link of fracture analysis of large ships is an essential part of the structural safety of ships. However, the finite element analysis of large structure according to the traditional method not only has high requirements on the computer, but also the influence of the mesh encryption at special locations makes further requirements on the accuracy of the ship. In this paper, based on the extended finite element method (XFEM) and the multi-point constraint method (MPC), the dynamic crack expansion process of the rectangular plate containing cracks under the multi-scale model is comparatively studied by using ABAQUS simulation software Finally, the applicability of the method is verified by applying the multi-scale model of ship nodes. The results show that the computational effort of the multi-scale model is significantly reduced with the same accuracy and allowable error, which proves the accuracy and efficiency of the method.

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