Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers

DOI10.1007/s00033-016-0755-7zbMath1437.74002arXiv1504.08003OpenAlexW2164118068MaRDI QIDQ2358960

Frank Osterbrink, Johannes Lankeit, Patrizio Neff

Publication date: 27 June 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.08003

zbMATH Keywords

Sobolev spacecompatibility conditionenergy formulationcurvature measurestrain measure

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Polar materials (74A35) Existence of solutions of equilibrium problems in solid mechanics (74G22)

Related Items (4)

Rotational invariance conditions in elasticity, gradient elasticity and its connection to isotropy ⋮ Existence theorem for geometrically nonlinear Cosserat micropolar model under uniform convexity requirements ⋮ Compatibility conditions of continua using Riemann–Cartan geometry ⋮ Cosserat elasticity of lattice solids

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