Material Geometry: Groupoids in Continuum Mechanics
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Book Overview This monograph is the first in which the theory of groupoids and algebroids is applied to the study of the properties of uniformity and h...
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.
Book Details Format: Hardcover | Pages: 209 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811232547
FormatHardcover
Pages209
LanguageEnglish
ISBN9811232547
EAN9789811232541
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.04 Pounds
Length9.0 Inches
Width6.0 Inches
Height0.56 Inches
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