Geometry of Incompatible Deformations: Differential Geometry in Continuum Mechanics

Published by De Gruyter 2019

Geometry of Incompatible Deformations

Differential Geometry in Continuum Mechanics

Contents

Frontmatter Publicly Available Download PDF	I
Preface Requires Authentication Unlicensed Licensed Download PDF	VII
Contents Publicly Available Download PDF	XI
General Scheme of Notations Requires Authentication Unlicensed Licensed Download PDF	XIX
1. Introduction Requires Authentication Unlicensed Licensed Download PDF	1
2. Geometry of Physical Space Requires Authentication Unlicensed Licensed Download PDF	3
3. Essentials of Non-Linear Elasticity Theory Requires Authentication Unlicensed Licensed Download PDF	59
4. Geometric Formalization of the Body and Its Representation in Physical Space Requires Authentication Unlicensed Licensed Download PDF	119
5. Strain Measures Requires Authentication Unlicensed Licensed Download PDF	141
6. Motion Requires Authentication Unlicensed Licensed Download PDF	161
7. Stress Measures Requires Authentication Unlicensed Licensed Download PDF	179
8. Material Uniformity and Inhomogeneity Requires Authentication Unlicensed Licensed Download PDF	195
9. Material Connections Requires Authentication Unlicensed Licensed Download PDF	209
10. Balance Equations Requires Authentication Unlicensed Licensed Download PDF	231
11. The Evolutionary Problem – Examples Requires Authentication Unlicensed Licensed Download PDF	249
12. Algebraic Structures Requires Authentication Unlicensed Licensed Download PDF	297
13. Review of Smooth Manifolds and Vector Bundles Requires Authentication Unlicensed Licensed Download PDF	315
14. Connections on Principal Bundles Requires Authentication Unlicensed Licensed Download PDF	359
Bibliography Requires Authentication Unlicensed Licensed Download PDF	381
Index Requires Authentication Unlicensed Licensed Download PDF	387

Language: English
Publisher: De Gruyter
Pages
- Front matter: 20
- Main content: 350
Illustrations
- Illustrations: 37
- Tables: 14

eBook

Published: March 4, 2019
ISBN: 9783110563214

Hardcover

Published: November 5, 2018
ISBN: 9783110562019