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Multiscale Modeling of Complex Dynamic Problems: An Overview and Recent Developments

hal.structure.identifierInstitut de Mécanique et d'Ingénierie de Bordeaux [I2M]
dc.contributor.authorJEBAHI, Mohamed
hal.structure.identifierInstitut de Mécanique et d'Ingénierie de Bordeaux [I2M]
dc.contributor.authorDAU, Frederic
hal.structure.identifierInstitut de Mécanique et d'Ingénierie de Bordeaux [I2M]
dc.contributor.authorCHARLES, Jean Luc
IDREF: 145803937
hal.structure.identifierInstitut de Mécanique et d'Ingénierie de Bordeaux [I2M]
dc.contributor.authorIORDANOFF, Ivan
dc.date.accessioned2021-05-14T09:57:47Z
dc.date.available2021-05-14T09:57:47Z
dc.date.issued2014-10
dc.identifier.issn1134-3060
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/77898
dc.description.abstractEnMultiscale modeling aims to solve problems at the engineering (macro) scale while considering the complexity of the microstructure with minimum cost. Generally, two scales are considered in multiscale modeling: small scale, which is designed to capture the mechanical phenomena at the atomistic, molecular or molecular cluster level, and large scale which is connected to continuous description. For each scale, well-established numerical methods have been developed over the years to handle the relevant phenomena. As a first part of this paper, the most popular numerical methods, used at different scales, as well as the coupling approaches between them are classified, according to their features and applications, so that the place of those used in multiscale modeling can be distinguished. Subsequently, the class of concurrent discrete–continuum coupling approaches, which is well adapted for dynamic studies of complex multiscale problems, is reviewed. Several techniques used in this class are also detailed. Among them, the bridging domain (BD) technique is used to develop a discrete–continuum coupling approach, adapted for dynamic simulations, between the Discrete Element Method and the Constrained Natural Element Method (CNEM). This approach is applied to study the BD coupling parameters in dynamics. Several results giving more light on the setting of these parameters in practice are obtained.
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enAppl.Mathematics/Computational Methods of Engineering
dc.title.enMultiscale Modeling of Complex Dynamic Problems: An Overview and Recent Developments
dc.typeArticle de revue
dc.identifier.doi10.1007/s11831-014-9136-6
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halSciences de l'ingénieur [physics]/Matériaux
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]
bordeaux.journalArchives of Computational Methods in Engineering
bordeaux.page1-38
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.institutionINRAE
bordeaux.institutionArts et Métiers
bordeaux.peerReviewedoui
hal.identifierhal-01122934
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01122934v1
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