A linear isotropic Cosserat shell model including terms up to \(O(h^5)\). Existence and uniqueness
DOI10.1007/s10659-022-09981-6zbMath1530.74049arXiv2208.04574MaRDI QIDQ6064115
Patrizio Neff, Ionel-Dumitrel Ghiba, Mircea Bîrsan
Publication date: 8 November 2023
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.04574
coercivityKorn inequalityLax-Milgram theoremin-plane drill rotationminimiser existencemicropolar 6-parameter resultant shell
Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25) Polar materials (74A35) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) PDEs in connection with mechanics of deformable solids (35Q74) Existence of solutions of equilibrium problems in solid mechanics (74G22)
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