Geometry of Incompatible Deformations : : Differential Geometry in Continuum Mechanics.
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Superior document: | Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
Year of Publication: | 2019 |
Language: | English |
Online Access: | |
Physical Description: | 1 online resource (XX, 350 p.) |
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Table of Contents:
- 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