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Meshless generalized finite difference method for two- and three-dimensional transient elastodynamic analysis
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DOI：10.1016/j.enganabound.2023.05.009.png)
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Abstract
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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 equa-tions 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.
Keywords:
Elastodynamic problem
Transient
Generalized finite difference method
Houbolt
Meshless method
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