Geometrical setting of solid mechanics

DOI10.1016/j.aop.2011.02.010zbMath1267.74009OpenAlexW1988075987MaRDI QIDQ555624

Zdeněk Fiala

Publication date: 25 July 2011

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2011.02.010

zbMATH Keywords

logarithmic strainlinearizationLagrangian systemRiemannian symmetric space

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (10)

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 ⋮ Intrinsic nonlinear elasticity: an exterior calculus formulation ⋮ The Stefan problem in a thermomechanical context with fracture and fluid flow ⋮ The geometry of nonlinear elasticity ⋮ Evolution equation of Lie-type for finite deformations, time-discrete integration, and incremental methods ⋮ Family of continuous strain-consistent convective tensor rates and its application in Hooke-like isotropic hypoelasticity ⋮ The sum of squared logarithms inequality in arbitrary dimensions ⋮ Objective time derivatives revised

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