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Wave reflection and cut‐off frequencies in coupled FE‐peridynamic grids
Author(s) -
Giannakeas Ilias N.,
Papathanasiou Theodosios K.,
Bahai Hamid
Publication year - 2019
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6099
Subject(s) - spurious relationship , coupling (piping) , discretization , energy minimization , limit (mathematics) , grid , peridynamics , frequency domain , reflection (computer programming) , computer science , finite element method , work (physics) , physics , materials science , mechanics , continuum mechanics , mathematical analysis , mathematics , geometry , thermodynamics , programming language , quantum mechanics , machine learning , metallurgy
Summary Reflections are typically observed when pulses propagate across interfaces. Accordingly, spurious reflections might occur at the interfaces between different models used to simulate the same medium. Examples of such coupled models include classical continuum descriptions with molecular dynamics or peridynamic (PD) grids. In this work, three different coupling approaches are implemented to couple bond‐based PDs with finite element (FE) solvers for solid mechanics. It is observed that incorporation of an overlapping zone, over which the coupling between FE and PD occurs, can lead to minimization of the reflected energy compared to a standard force coupling at the FE domain/PD grid interface. However, coupling with other existing methodologies, like the addition of ghost particles, achieves comparable accuracy at lower computational cost. Furthermore, the prudent selection of the discretization parameters is of pivotal importance as they control the high frequency cut‐off limit. Mismatch between the cut‐off frequencies of the different descriptions can lead to unrealistic results.