Material Geometry: Groupoids In Continuum Mechanics
Seiten
2021
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-3254-1 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-3254-1 (ISBN)
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.
| Erscheinungsdatum | 07.06.2021 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Mechanik |
| ISBN-10 | 981-12-3254-7 / 9811232547 |
| ISBN-13 | 978-981-12-3254-1 / 9789811232541 |
| Zustand | Neuware |
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