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MATERIAL GEOMETRY

MATERIAL GEOMETRY

LEON MANUEL DE / Manuel de León / Marcelo Epstein / MARCELO EPSTEIN & VICTOR MANUEL DE LEON / Victor Jiménez

102,15 €
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Editorial:
World Scientific Publishing Co Pte Ltd
Año de edición:
2021
Materia
Mecánica clásica
ISBN:
9789811232541

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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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