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Implementation of the novel perfectly matched layer element for elastodynamic problems in time-domain finite element method
https://orcid.org/0000-0002-2282-0742
https://orcid.org/0000-0001-7424-4006
Abstract For the numerical simulation of infinite domain problems in finite element method (FEM), unwanted reflection from the artificial boundaries of the model is a limiting factor. Therefore, in this paper, based on the theory of perfectly matched layer (PML), a novel element is derived to deal with absorbing boundary conditions in the framework of time-domain finite element method (TDFEM). Then, by combining with the viscoelastic model and modified Newmark algorithm, a novel method is proposed to absorb outgoing waves in unbounded domains. Numerical results show that the proposed method can efficiently absorb the elastic wave, and it can be employed to solve infinite domain problems.
Highlights A novel method to simulate infinite domains using absorbing boundary conditions is proposed. The proposed method is employed to solve elastodynamic problems. The proposed method can be employed in time-domain finite element method. The proposed method is based on the theory of perfectly matched layer and it can efficiently absorb elastic waves.
Implementation of the novel perfectly matched layer element for elastodynamic problems in time-domain finite element method
https://orcid.org/0000-0002-2282-0742
https://orcid.org/0000-0001-7424-4006
Abstract For the numerical simulation of infinite domain problems in finite element method (FEM), unwanted reflection from the artificial boundaries of the model is a limiting factor. Therefore, in this paper, based on the theory of perfectly matched layer (PML), a novel element is derived to deal with absorbing boundary conditions in the framework of time-domain finite element method (TDFEM). Then, by combining with the viscoelastic model and modified Newmark algorithm, a novel method is proposed to absorb outgoing waves in unbounded domains. Numerical results show that the proposed method can efficiently absorb the elastic wave, and it can be employed to solve infinite domain problems.
Highlights A novel method to simulate infinite domains using absorbing boundary conditions is proposed. The proposed method is employed to solve elastodynamic problems. The proposed method can be employed in time-domain finite element method. The proposed method is based on the theory of perfectly matched layer and it can efficiently absorb elastic waves.
Implementation of the novel perfectly matched layer element for elastodynamic problems in time-domain finite element method
https://orcid.org/0000-0002-2282-0742
https://orcid.org/0000-0001-7424-4006
Abstract For the numerical simulation of infinite domain problems in finite element method (FEM), unwanted reflection from the artificial boundaries of the model is a limiting factor. Therefore, in this paper, based on the theory of perfectly matched layer (PML), a novel element is derived to deal with absorbing boundary conditions in the framework of time-domain finite element method (TDFEM). Then, by combining with the viscoelastic model and modified Newmark algorithm, a novel method is proposed to absorb outgoing waves in unbounded domains. Numerical results show that the proposed method can efficiently absorb the elastic wave, and it can be employed to solve infinite domain problems.
Highlights A novel method to simulate infinite domains using absorbing boundary conditions is proposed. The proposed method is employed to solve elastodynamic problems. The proposed method can be employed in time-domain finite element method. The proposed method is based on the theory of perfectly matched layer and it can efficiently absorb elastic waves.
Implementation of the novel perfectly matched layer element for elastodynamic problems in time-domain finite element method
Chen, Junwei (author) / Shou, Yundong (author) / Zhou, Xiaoping (author)
2021-10-31
Article (Journal)
Electronic Resource
English
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