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Time derivative obtained by applying the Riemannian manifold of Riemannian metrics to kinematics of continua

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Publication:640589
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DOI10.1016/j.crme.2003.12.001zbMath1223.74006OpenAlexW2027436275WikidataQ115358160 ScholiaQ115358160MaRDI QIDQ640589

Zdeněk Fiala

Publication date: 19 October 2011

Published in: Comptes Rendus. Mécanique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crme.2003.12.001


zbMATH Keywords

finite deformationscontinuum mechanicssolid mechanicsobjective time derivativeRiemannian manifold of Riemannian metrics


Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)


Related Items (3)

An intrinsic geometric formulation of hyper-elasticity, pressure potential and non-holonomic constraints ⋮ Geometry of logarithmic strain measures in solid mechanics ⋮ The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity




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