Meshless generalized finite difference method for two- and three-dimensional transient elastodynamic analysis

In this paper, a meshless collocation method is introduced for two-dimensional (2D) and three-dimensional (3D) transient elastodynamic problems by applying the generalized finite difference method (GFDM) in conjunction with the Houbolt scheme. Coupled equilibrium equations with a time-dependent load...

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Bibliographic Details
Published inEngineering analysis with boundary elements Vol. 152; pp. 645 - 654
Main Authors Sun, Wenxiang, Qu, Wenzhen, Gu, Yan, Zhao, Shengdong
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2023
Subjects
Elastodynamic problem
Generalized finite difference method
Houbolt
Meshless method
Transient
Generalized finite difference method
Houbolt
Transient
Elastodynamic problem
Meshless method
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Summary:In this paper, a meshless collocation method is introduced for two-dimensional (2D) and three-dimensional (3D) transient elastodynamic problems by applying the generalized finite difference method (GFDM) in conjunction with the Houbolt scheme. Coupled equilibrium equations with a time-dependent loading are transformed into the static equations at time nodes by adopting the Houbolt method. After then, the solution of the static equations is achieved with the GFDM with second-order and fourth-order expansions. Several numerical examples involving complicated geometries and different initial and boundary conditions are simulated to validate the performance of the present approach.
ISSN:0955-7997
DOI:10.1016/j.enganabound.2023.05.009