A geometric rationale for invariance, covariance and constitutive relations

DOI10.1007/s00161-017-0595-5zbMath1392.74007OpenAlexW2754699723MaRDI QIDQ1655430

Giovanni Romano, Marina Diaco, Raffaele Barretta

Publication date: 9 August 2018

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-017-0595-5

zbMATH Keywords

invarianceconstitutive relationscovariancestretchingLie derivativesform invariancestress ratematerial frame indifferencespacetime transformationsspatial and material fields in spacetime

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Theory of constitutive functions in solid mechanics (74A20)

Related Items (6)

Covariant spacetime formalism for applications to thermo-hyperelasticity ⋮ Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours ⋮ Spacetime evolutive equilibrium in nonlinear continuum mechanics ⋮ On formulation of nonlocal elasticity problems ⋮ On spacetime structure, spacetime transformations and material frame-indifference in solid mechanics ⋮ Iterative methods for nonlocal elasticity problems

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