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M. Yu, G. Noh, "Wave propagation at the coupling boundary of peridynamics and finite elements", in B.H.V. Topping, J. Kruis, (Editors), "Proceedings of the Fourteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 3, Paper 3.2, 2022, doi:10.4203/ccc.3.3.2

Keywords: wave propagation, direct time integrations, numerical dispersion, coupling, peridynamics, finite element method.

Abstract

This research investigates the optimal use of time integration methods to solve transient wave propagation problems in the coupling domain of bond-based Peridynamics with finite elements. We respectively study the numerical dispersions of bond-based Peridynamics and finite elements with the central difference method and the Noh-Bathe time integration method. It reveals that the difference in numerical wave speed between FE and PD domain causes spurious wave reflection leading to inaccurate solutions. The study of the numerical dispersion reveals that the Noh-Bathe scheme can reduce the wave reflection, whereas the central difference method still causes the wave reflection between the domains. In the practical wave propagation problems, the Noh-Bathe scheme provides more accurate solutions than the central difference method.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 3 PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and J. Kruis Paper 3.2 Wave propagation at the coupling boundary of peridynamics and finite elements M. Yu and G. Noh School of Mechanical Engineering, Korea University, Seoul, Republic of Korea doi:10.4203/ccc.3.3.2 Full Bibliographic Reference for this paper M. Yu, G. Noh, "Wave propagation at the coupling boundary of peridynamics and finite elements", in B.H.V. Topping, J. Kruis, (Editors), "Proceedings of the Fourteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 3, Paper 3.2, 2022, doi:10.4203/ccc.3.3.2 Keywords: wave propagation, direct time integrations, numerical dispersion, coupling, peridynamics, finite element method. Abstract This research investigates the optimal use of time integration methods to solve transient wave propagation problems in the coupling domain of bond-based Peridynamics with finite elements. We respectively study the numerical dispersions of bond-based Peridynamics and finite elements with the central difference method and the Noh-Bathe time integration method. It reveals that the difference in numerical wave speed between FE and PD domain causes spurious wave reflection leading to inaccurate solutions. The study of the numerical dispersion reveals that the Noh-Bathe scheme can reduce the wave reflection, whereas the central difference method still causes the wave reflection between the domains. In the practical wave propagation problems, the Noh-Bathe scheme provides more accurate solutions than the central difference method. download the full-text of this paper (PDF, 6 pages, 409 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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