Microstructures as a refinement of Cauchy theory. Problems of physical concreteness

DOI10.1007/s00161-003-0122-8zbMath1068.74514OpenAlexW2017613374MaRDI QIDQ1420112

Giuseppe Grioli

Publication date: 28 January 2004

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

Full work available at URL: https://doi.org/10.1007/s00161-003-0122-8

zbMATH Keywords

elasticityCosserat continua

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Micromechanical theories (74A60)

Related Items (11)

Computational aspects of the mechanics of complex materials ⋮ Simple shear in nonlinear Cosserat elasticity: bifurcation and induced microstructure ⋮ A new view on boundary conditions in the grioli-Koiter-Mindlin-toupin indeterminate couple stress model ⋮ Rotational invariance conditions in elasticity, gradient elasticity and its connection to isotropy ⋮ A gauge-theoretical approach to elasticity with microrotations ⋮ The modified indeterminate couple stress model: Why Yang et al.'s arguments motivating a symmetric couple stress tensor contain a gap and why the couple stress tensor may be chosen symmetric nevertheless ⋮ Continua with partially constrained microstructure ⋮ Dynamic behavior of thermoelastic solid continua using mathematical model derived based on non-classical continuum mechanics with internal rotations ⋮ On wave propagation in porous media with strain gradient effects ⋮ Rotational elasticity and couplings to linear elasticity ⋮ Subgrid interaction and micro-randomness - novel invariance requirements in infinitesimal gradient elasticity

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