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Material Geometry: Groupoids in Continuum Mechanics

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dc.contributor.authorLeón, Manuel de
dc.contributor.authorEpstein, Marcelo
dc.contributor.authorJiménez Morales, Víctor Manuel
dc.date.accessioned2024-05-21T13:54:00Z
dc.date.available2024-05-21T13:54:00Z
dc.date.issued2021
dc.description.abstractThis monograph is the first in which the theory of groupoids and algebroids is applied to the study of the properties of uniformity and homogeneity of continuous media. It is a further step in the application of differential geometry to the mechanics of continua, initiated years ago with the introduction of the theory of G-structures, in which the group G denotes the group of material symmetries, to study smoothly uniform materials. The new approach presented in this book goes much further by being much more general. It is not a generalization per se, but rather a natural way of considering the algebraic-geometric structure induced by the so-called material isomorphisms. This approach has allowed us to encompass non-uniform materials and discover new properties of uniformity and homogeneity that certain material bodies can possess, thus opening a new area in the discipline.en
dc.description.versionversión publicada
dc.identifier.doihttps://doi.org/10.1142/12168
dc.identifier.isbn9789811232541
dc.identifier.urihttps://hdl.handle.net/20.500.14468/20659
dc.language.isoen
dc.publisherWorld Scientific Publishing Co. Pte. Ltd.
dc.relation.centerFacultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 Internacional
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.titleMaterial Geometry: Groupoids in Continuum Mechanicses
dc.typelibroes
dc.typebooken
dspace.entity.typePublication
relation.isAuthorOfPublication983a34b9-02e6-4096-96d9-a488273f8742
relation.isAuthorOfPublication.latestForDiscovery983a34b9-02e6-4096-96d9-a488273f8742
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