Geometry of Incompatible Deformations
Differential Geometry in Continuum Mechanics
(Sprache: Englisch)
The DeGruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics.
They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series...
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Produktinformationen zu „Geometry of Incompatible Deformations “
The DeGruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics.
They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes.
The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They also can serve as secondary reading for lectures and seminars at advanced levels.
Klappentext zu „Geometry of Incompatible Deformations “
This monograph provides a systematic treatment of differential geometry in modeling of incompatible fiite deformations in solids. Included are discussions of generalized deformations and stress measures on smooth manifolds, geometrical formalizations for structurally inhomogeneous bodies, representations for configurational forces, and evolution equations.
Inhaltsverzeichnis zu „Geometry of Incompatible Deformations “
Frontmatter -- Preface -- Contents -- General Scheme of Notations -- 1. Introduction -- 2. Geometry of Physical Space -- 3. Essentials of Non-Linear Elasticity Theory -- 4. Geometric Formalization of the Body and Its Representation in Physical Space -- 5. Strain Measures -- 6. Motion -- 7. Stress Measures -- 8. Material Uniformity and Inhomogeneity -- 9. Material Connections -- 10. Balance Equations -- 11. The Evolutionary Problem ¿ Examples -- 12. Algebraic Structures -- 13. Review of Smooth Manifolds and Vector Bundles -- 14. Connections on Principal Bundles -- Bibliography -- Index
Autoren-Porträt von Sergey Lychev, Konstantin Koifman
Sergey Lychev and Konstantin Koifman, Institute for Problems in Mechanics of Russian Academy of Science, Russia.
Bibliographische Angaben
- Autoren: Sergey Lychev , Konstantin Koifman
- 2018, XX, 388 Seiten, 60 Schwarz-Weiss-Abbildungen, mit Abbildungen, Masse: 17,9 x 24,6 cm, Gebunden, Englisch
- Verlag: De Gruyter
- ISBN-10: 3110562014
- ISBN-13: 9783110562019
- Erscheinungsdatum: 05.11.2018
Sprache:
Englisch
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