A dynamic hybrid local/nonlocal continuum model for wave propagation

dc.contributor.authorHan, Fei
dc.contributor.authorLiu, Shankun
dc.contributor.authorLubineau, Gilles
dc.contributor.departmentComposite and Heterogeneous Material Analysis and Simulation Laboratory (COHMAS)
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.contributor.institutionState Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, International Research Center for Computational Mechanics, Dalian University of Technology, Dalian 116023, People’s Republic of China.
dc.date.accepted2020-10-14
dc.date.accessioned2020-11-11T07:59:23Z
dc.date.available2020-11-11T07:59:23Z
dc.date.issued2020-11-10
dc.date.published-online2020-11-10
dc.date.published-print2021-01
dc.date.submitted2018-11-28
dc.description.abstractIn this work, we develop a dynamic hybrid local/nonlocal continuum model to study wave propagations in a linear elastic solid. The developed hybrid model couples, in the dynamic regime, a classical continuum mechanics model with a bond-based peridynamic model using the Morphing coupling method that introduced in a previous study (Lubineau et al., J Mech Phys Solids 60(6):1088–1102, 2012). The classical continuum mechanical model is known as a local continuum model, while the peridynamic model is known as a nonlocal continuum model. This dynamic hybrid model aims to introduce the nonlocal model into the key structural domain, in which the dispersions or crack nucleations may occur due to flaws, while applying the local model to the rest of the structural domain. Both the local and nonlocal continuum domains are overlapped in the coupled subdomain. We study the speeds and angular frequencies of the plane waves, with small and large wavenumbers obtained by the hybrid model and compare them to purely local and purely nonlocal solutions. The error of the hybrid model is discussed by analyzing the ghost forces, and the work done by the ghost forces is considered equivalent to the energy of spurious reflections. One- and two-dimensional numerical examples illustrate the validity and accuracy of the proposed approach. We show that this dynamic hybrid local/nonlocal continuum model can be successfully applied to simulate wave propagations and crack nucleations induced by waves.
dc.eprint.versionPost-print
dc.identifier.citationHan, F., Liu, S., & Lubineau, G. (2020). A dynamic hybrid local/nonlocal continuum model for wave propagation. Computational Mechanics. doi:10.1007/s00466-020-01938-7
dc.identifier.doi10.1007/s00466-020-01938-7
dc.identifier.issn0178-7675
dc.identifier.issn1432-0924
dc.identifier.journalComputational Mechanics
dc.identifier.urihttp://hdl.handle.net/10754/665891
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/10.1007/s00466-020-01938-7
dc.rightsArchived with thanks to Computational Mechanics
dc.rights.embargodate2021-11-10
dc.titleA dynamic hybrid local/nonlocal continuum model for wave propagation
dc.typeArticle
display.details.left<span><h5>Embargo End Date</h5>2021-11-10<br><br><h5>Type</h5>Article<br><br><h5>Authors</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Han, Fei,equals">Han, Fei</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Liu, Shankun,equals">Liu, Shankun</a><br><a href="https://repository.kaust.edu.sa/search?query=orcid.id:0000-0002-7370-6093&spc.sf=dc.date.issued&spc.sd=DESC">Lubineau, Gilles</a> <a href="https://orcid.org/0000-0002-7370-6093" target="_blank"><img src="https://repository.kaust.edu.sa/server/api/core/bitstreams/82a625b4-ed4b-40c8-865a-d6a5225a26a4/content" width="16" height="16"/></a><br><br><h5>KAUST Department</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.department=Composite and Heterogeneous Material Analysis and Simulation Laboratory (COHMAS),equals">Composite and Heterogeneous Material Analysis and Simulation Laboratory (COHMAS)</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.department=Mechanical Engineering Program,equals">Mechanical Engineering Program</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.department=Physical Science and Engineering (PSE) Division,equals">Physical Science and Engineering (PSE) Division</a><br><br><h5>Online Publication Date</h5>2020-11-10<br><br><h5>Print Publication Date</h5>2021-01<br><br><h5>Date</h5>2020-11-10<br><br><h5>Submitted Date</h5>2018-11-28</span>
display.details.right<span><h5>Abstract</h5>In this work, we develop a dynamic hybrid local/nonlocal continuum model to study wave propagations in a linear elastic solid. The developed hybrid model couples, in the dynamic regime, a classical continuum mechanics model with a bond-based peridynamic model using the Morphing coupling method that introduced in a previous study (Lubineau et al., J Mech Phys Solids 60(6):1088–1102, 2012). The classical continuum mechanical model is known as a local continuum model, while the peridynamic model is known as a nonlocal continuum model. This dynamic hybrid model aims to introduce the nonlocal model into the key structural domain, in which the dispersions or crack nucleations may occur due to flaws, while applying the local model to the rest of the structural domain. Both the local and nonlocal continuum domains are overlapped in the coupled subdomain. We study the speeds and angular frequencies of the plane waves, with small and large wavenumbers obtained by the hybrid model and compare them to purely local and purely nonlocal solutions. The error of the hybrid model is discussed by analyzing the ghost forces, and the work done by the ghost forces is considered equivalent to the energy of spurious reflections. One- and two-dimensional numerical examples illustrate the validity and accuracy of the proposed approach. We show that this dynamic hybrid local/nonlocal continuum model can be successfully applied to simulate wave propagations and crack nucleations induced by waves.<br><br><h5>Citation</h5>Han, F., Liu, S., & Lubineau, G. (2020). A dynamic hybrid local/nonlocal continuum model for wave propagation. Computational Mechanics. doi:10.1007/s00466-020-01938-7<br><br><h5>Publisher</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.publisher=Springer Nature,equals">Springer Nature</a><br><br><h5>Journal</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.journal=Computational Mechanics,equals">Computational Mechanics</a><br><br><h5>DOI</h5><a href="https://doi.org/10.1007/s00466-020-01938-7">10.1007/s00466-020-01938-7</a><br><br><h5>Additional Links</h5>http://link.springer.com/10.1007/s00466-020-01938-7</span>
kaust.personLubineau, Gilles
orcid.authorHan, Fei
orcid.authorLiu, Shankun
orcid.authorLubineau, Gilles::0000-0002-7370-6093
orcid.id0000-0002-7370-6093
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