هندسه تغییر شکل های ناسازگار: هندسه دیفرانسیل در مکانیک پیوسته ۲۰۱۹
Geometry of Incompatible Deformations: Differential Geometry in Continuum Mechanics 2019

1. Preface

2. Contents

3. 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

18. Bibliography

19. Index