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MATERIAL GEOMETRY

GROUPOIDS IN CONTINUUM MECHANICS
BuchGebunden
226 Seiten
Englisch
World Scientificerschienen am10.05.2021
This 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.mehr

Produkt

KlappentextThis 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.
Details
ISBN/GTIN978-981-12-3254-1
ProduktartBuch
EinbandartGebunden
Erscheinungsjahr2021
Erscheinungsdatum10.05.2021
Seiten226 Seiten
SpracheEnglisch
MasseBreite 157 mm, Höhe 235 mm, Dicke 17 mm
Gewicht487 g
Artikel-Nr.57801166