Geometry of incompatible deformations : differential geometry in continuum mechanics

Author(s)

    • Lychev, Sergey
    • Koifman, Konstantin

Bibliographic Information

Geometry of incompatible deformations : differential geometry in continuum mechanics

Sergey Lychev and Konstantin Koifman

(De Gruyter studies in mathematical physics, v. 50)

De Gruyter, c2019

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Note

Includes bibliographical references (p. [381]-386) and index

Description and Table of Contents

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

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