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Material Geometry: Groupoids in Continuum Mechanics by Manuel de Leon

Material Geometry: Groupoids in Continuum Mechanics

by Manuel de Leon , Marcelo Epstein , Victor Manuel Jimenez
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Book cover type: Hardcover
  • ISBN13: 9789811232541
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: World Scientific Publishing Company
  • Publisher Imprint: World Scientific Publishing Company
  • Publication Date:
  • Pages: 228
  • Original Price: USD 88.0
  • Language: English
  • Edition: N/A
  • Item Weight: 472 grams
  • BISAC Subject(s): Applied

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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