Material Geometry : Groupoids in Continuum Mechanics
De León, Manuel; Epstein, Marcelo; Jiménez, Victor
ISBN 10: 9811232547 ISBN 13: 9789811232541
Published by World Scientific Pub Co Inc, 2021
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Synopsis:
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.
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Bibliographic Details
Title: Material Geometry : Groupoids in Continuum ...
Publisher: World Scientific Pub Co Inc
Publication Date: 2021
Binding: Hardcover
Condition: As New