Geometry of Incompatible Deformations
The De Gruyter 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 can also serve as secondary reading for lectures and seminars at advanced levels.
Sergey Lychev and Konstantin Koifman, Institute for Problems in Mechanics of Russian Academy of Science, Russia.
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
"This monograph is highly recommended for scholars and advanced graduate students working in areas of continuum mechanics and continuum physics, especially those with a focus on geometric methods. Applied mathematicians conducting research in nonlinear elasticity should nd the work particularly interesting and useful."
John D. Clayton in: Mathematical Reviews Clippings (2019), MR3931699
| Erscheinungsdatum | 12.11.2018 |
|---|---|
| Reihe/Serie | De Gruyter Studies in Mathematical Physics ; 50 |
| Zusatzinfo | 37 b/w ill., 14 b/w tbl. |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Gewicht | 817 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Naturwissenschaften ► Chemie | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Deformation • Differentialgeometrie • Mannigfaltigkeit • mechanische Spannung |
| ISBN-10 | 3-11-056201-4 / 3110562014 |
| ISBN-13 | 978-3-11-056201-9 / 9783110562019 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
aus dem Bereich
