Screen LibraryMaterial geometry : groupoids in continuum mechanics /
"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 i...
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| Main Authors: | |
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| Group Author: | ; |
| Published: |
World Scientific,
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| Publisher Address: | Singapore : |
| Publication Dates: | [2021] |
| Literature type: | Book |
| Language: | English |
| Subjects: | |
| Summary: |
"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 material and discover new properties of uniformity and homogeneity that certain material bodies can possess, thus opening a new area in the discipline"-- |
| Carrier Form: | xvi, 209 pages : illustrations ; 24 cm |
| Bibliography: | Includes bibliographical references (pages 199-205) and index. |
| ISBN: |
9789811232541 9811232547 9789811232558 9811232555 9789811232565 9811232563 |
| Index Number: | QA808 |
| CLC: |
O186.1 O33 |
| Call Number: | O33/L579 |
| Contents: | Continuum mechanics -- Groupoids -- Algebroids -- Material algebroid -- Material distributions. |