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dc.contributor.author
Feijóo, Raúl Antonino
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dc.contributor.author
Blanco, Pablo Javier
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dc.contributor.author
De Souza Neto, Eduardo Alberto
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dc.contributor.author
Sánchez, Pablo Javier
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dc.date.available
2024-02-06T11:29:59Z
dc.date.issued
2023-06
dc.identifier.citation
Feijóo, Raúl Antonino; Blanco, Pablo Javier; De Souza Neto, Eduardo Alberto; Sánchez, Pablo Javier; Novel multiscale models in a multicontinuum approach to divide and conquer strategies; Springer; Computational and Applied Mathematics; 42; 4; 6-2023; 1-39
dc.identifier.issn
2238-3603
dc.identifier.uri
http://hdl.handle.net/11336/225879
dc.description.abstract
This contribution presents a comprehensive, in-depth analysis of the solution of the mechanical equilibrium problem for a generic solid with microstructure. The exact solution to this problem, referred to here as the reference solution, corresponds to the full-scale model of the problem that takes into account the kinematics and constitutive behavior of its entire microstructure. The analysis is carried out based on the Principle of Multiscale Virtual Power (PMVP) previously proposed by the authors. The PMVP provides a robust theoretical setting whereby the strong links between the reference solution and solutions of the mechanical equilibrium obtained using coarser scale models are brought to light. In this context, some fundamental properties of coarser scale solutions are identified by means of variational arguments. These findings unveil a new homogenization landscape for Representative Volume Element (RVE) multiscale theories, leading to the construction of new Minimal Kinematical Restriction (MKR)-based models where either displacements or tractions may be prescribed on the RVE boundary. A careful observation of the aforementioned landscape leads naturally to the proposal of a new, multicontinuum strategy (a generalized continuum counterpart of multigrid strategies) to approximate the reference solution at low computational cost. In the proposed strategy, the mechanical interactions among neighboring microcells are accounted for in an iterative fashion by means of suitably chosen boundary conditions enforced alternately on the new MKR-based models. The proposed developments are presented assuming a classical continuum at all scales, but the results are equally valid when different kinematical and constitutive assumptions are made at different scales.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
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dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
BOUNDARY CONDITIONS
dc.subject
DIRECT NUMERICAL SOLUTION
dc.subject
MULTIGRID APPROACH
dc.subject
MULTISCALE MODELING
dc.subject
VIRTUAL POWER
dc.subject.classification
Otras Ingeniería de los Materiales
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dc.subject.classification
Ingeniería de los Materiales
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dc.subject.classification
INGENIERÍAS Y TECNOLOGÍAS
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dc.title
Novel multiscale models in a multicontinuum approach to divide and conquer strategies
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-02-05T13:51:12Z
dc.identifier.eissn
1807-0302
dc.journal.volume
42
dc.journal.number
4
dc.journal.pagination
1-39
dc.journal.pais
Alemania
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dc.journal.ciudad
Berlín
dc.description.fil
Fil: Feijóo, Raúl Antonino. Instituto Nacional de Ciência E Tecnologia Em Medicina Assistida Por Computação Científica; Brasil. Laboratorio Nacional de Computacao Cientifica; Brasil
dc.description.fil
Fil: Blanco, Pablo Javier. Instituto Nacional de Ciência E Tecnologia Em Medicina Assistida Por Computação Científica; Brasil. Laboratorio Nacional de Computacao Cientifica; Brasil
dc.description.fil
Fil: De Souza Neto, Eduardo Alberto. Swansea University; Reino Unido
dc.description.fil
Fil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina. Universidad Tecnológica Nacional; Argentina
dc.journal.title
Computational and Applied Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s40314-023-02288-9
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s40314-023-02288-9
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