Dynamic crack propagation analysis based on the s-version of the finite element method

Kishi, Kota; Takeoka, Yuuki; Fukui, Tsutomu; Matsumoto, Toshiyuki; Suzuki, Katsuyuki; Shibanuma, Kazuki

doi:10.1016/j.cma.2020.113091

Cited by 9 publications

(2 citation statements)

References 65 publications

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“…In the

FEM the solution accuracy is locally enhanced by superposing one or more high−order local meshes onto a global one. This extension of the FEM has been applied successfully for linear static, frequency, and buckling analysis of laminated composite plates and shells [ 31 , 32 , 33 , 34 ], stress analysis of laminated smart structures [ 35 ], microscopic stress analysis of heterogeneous materials [ 36 ], and dynamic crack analysis in steel structures [ 37 ].…”

Section: Introductionmentioning

confidence: 99%

Application of the ps−Version of the Finite Element Method to the Analysis of Laminated Shells

Yan

Vescovini

2023

Materials

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The development of accurate and efficient numerical methods is of crucial importance for the analysis and design of composite structures. This is even more true in the presence of variable stiffness (VS) configurations, where intricate load paths can be responsible for complex and localized stress profiles. In this work, we present the ps−version of the finite elements method (ps−FEM), a novel FE approach which can perform global/local analysis through different refinement strategies efficiently and easily. Within this framework, the global behavior is captured through a p−refinement by increasing the polynomial order of the elements. For the local one, a mesh−superposition technique, called s−refinement, is used to improve locally the solution by defining a local/fine mesh overlaid to the global/coarse one. The combination of p− and s−refinements enables us to achieve excellent accuracy−to−cost ratios. This paper aims to present the numerical formulation and the implementation aspects of this novel approach to VS composite shell analysis. Numerical tests are reported to illustrate the potential of the method. The results provide a clear insight of its potential to guarantee fast convergence and easy mesh refinement where needed.

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“…In the

Section: Introductionmentioning

confidence: 99%

Application of the ps−Version of the Finite Element Method to the Analysis of Laminated Shells

Yan

Vescovini

2023

Materials

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“…Wada et al (2014) analyzed the growth of internal cracks using the s-version FEM. Kishi et al (2020) and Shibanuma et al (2022) proposed efficient strategies based on the s-version FEM for analyzing dynamic crack propagation problems. Furthermore, one can find another application of the discontinuity-related FEMs in the literature, namely, the parametric analysis for local shapes.…”

Section: Introductionmentioning

confidence: 99%

Parallel parametric analysis approach based on an s-version FEM for fracture mechanics analysis in designing hole positions

Suwa

Yusa

Kuboki

2023

Mechanical Engineering Journal

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This study proposes a parallel parametric analysis approach, in which parametric analysis for a local shape, such as a hole, is automated and parallelized. For the automation, the present approach is based on an s-version FEM, namely, the coupling-matrix-free iterative s-version FEM. In this method, the hole can be detached from the mesh of the global structure. This feature overcomes a difficulty in generating a mesh with a hole, particularly together with a crack for fracture mechanics analysis. Moreover, the parallelization is implemented by Message Passing Interface (MPI). In the present approach, a large number of analyses for different hole positions are performed in parallel. In each analysis, the hole position is changed using the s-version FEM. Then, this approach was applied to numerical examples of stationary crack problems, namely, a plate with an edge crack and a V-bending die with a circular surface crack. Both examples had a hole, the position of which was the parameter of the parametric analysis. In each numerical example, changes in stress intensity factor of the crack for different hole positions were investigated. It was numerically demonstrated that some hole positions decreased the stress intensity factor of the crack. Moreover, our approach achieved high speedup and parallel efficiency in a strong scaling test.

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The s-version finite element method for non-linear material problems

Tu,

Morita,

Fukui

et al. 2024

Applied Mathematical Modelling

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Dynamic crack propagation analysis based on the s-version of the finite element method

Cited by 9 publications

References 65 publications

Application of the ps−Version of the Finite Element Method to the Analysis of Laminated Shells

Application of the ps−Version of the Finite Element Method to the Analysis of Laminated Shells

Parallel parametric analysis approach based on an s-version FEM for fracture mechanics analysis in designing hole positions

The s-version finite element method for non-linear material problems

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