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Differential Geometry and Kinematics of Continua

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Publication:2925242
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DOI10.1142/9220zbMath1312.53003OpenAlexW584547974MaRDI QIDQ2925242

John D. Clayton

Publication date: 21 October 2014

Full work available at URL: https://doi.org/10.1142/9220


zbMATH Keywords

continuum mechanicsfield theorycalculus of tensorsdifferential geomety


Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Topological and differential topological methods for problems in mechanics (70G40)


Related Items (5)

Generalized Finsler geometric continuum physics with applications in fracture and phase transformations ⋮ Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids ⋮ Continuum modeling of twinning, amorphization, and fracture: theory and numerical simulations ⋮ A simple and practical representation of compatibility condition derived using a \textbf{QR} decomposition of the deformation gradient ⋮ Characterizing geometrically necessary dislocations using an elastic-plastic decomposition of Laplace stretch







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