Geometry of incompatible deformations : differential geometry in continuum mechanics
著者
書誌事項
Geometry of incompatible deformations : differential geometry in continuum mechanics
(De Gruyter studies in mathematical physics, v. 50)
De Gruyter, c2019
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注記
Includes bibliographical references (p. [381]-386) and index
内容説明・目次
目次
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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