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Geometry of logarithmic strain measures in solid mechanics (Q338085)

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English	Geometry of logarithmic strain measures in solid mechanics	scientific article

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scholarly article

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Geometry of logarithmic strain measures in solid mechanics (English)

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Robert J. Martin

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Archive for Rational Mechanics and Analysis

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publication date

4 November 2016

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full work available at URL

https://arxiv.org/abs/1505.02203

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Positive definite matrices

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Nonlinear Solid Mechanics

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Linear isotropic relations in finite hyperelasticity: some general results

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Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom

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The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers

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A Logarithmic Minimization Property of the Unitary Polar Factor in the Spectral and Frobenius Norms

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Higher derivatives and the inverse derivative of a tensor-valued function of a tensor

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COMPRESSIBLE ISOTROPIC ELASTIC SOLIDS UNDER FINITE STRAIN-CONSTITUTIVE INEQUALITIES

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Dualistic differential geometry of positive definite matrices and its applications to related problems

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Leonhard Euler's Elastic Curves

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The computation of the exponential and logarithmic mappings and their first and second linearizations

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Eulerian strain-rate as a rate of logarithmic strain

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Application of Objective Rates in Mechanical Modeling of Solids

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KLEINE MITTEILUNGEN

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Zum Logarithmus einer Matrix

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Zur Elastizitätstheorie endlicher Verformungen

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Geodesic finite elements of higher order

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The Simplest Rate Theory of Pure Elasticity

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Das ungelöste Hauptproblem der endlichen Elastizitätstheorie

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Lois de comportement élastique isotropes en grandes déformations

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The Baker-Ericksen inequalities for hyperelastic models using a novel set of invariants of Hencky strain

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Logarithmic strain, logarithmic spin and logarithmic rate

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Existence and uniqueness of the exactly integrable hypoelastic equation \(\overset\circ\tau^*=\lambda(\text{tr }D)I+2\mu \)D and its significance to finite inelasticity

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Hypo-elasticity model based upon the logarithmic stress rate

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Hencky's elasticity model and linear stress-strain relations in isotropic finite hyperelasticity

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Hencky's logarithmic strain and dual stress-strain and strain-stress relations in isotropic finite hyperelasticity

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Multivariate tensor-based morphometry with a right-invariant Riemannian distance on \(\mathrm{GL}^+(n)\)

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Identifiers

zbMATH Open document ID

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10.1007/s00205-016-1007-x

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:338085

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