Inequalities of Korn's type and existence results in the theory of Cosserat elastic shells

DOI10.1007/s10659-007-9140-2zbMath1133.74029OpenAlexW2011565744MaRDI QIDQ2482229

Mircea Bîrsan

Publication date: 16 April 2008

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-007-9140-2

zbMATH Keywords

uniquenesssemigroup of linear operatorscontinuous dependence

Mathematics Subject Classification ID

Related Items (11)

Existence theorems in the geometrically non-linear 6-parameter theory of elastic plates ⋮ The Korn-type inequality in a Cosserat model for thin thermoelastic porous rods ⋮ A linear isotropic Cosserat shell model including terms up to \(O(h^5)\). Existence and uniqueness ⋮ Linear constrained Cosserat-shell models including terms up to \({O}(h^5)\): conditional and unconditional existence and uniqueness ⋮ On the theory of porous elastic rods ⋮ The isotropic Cosserat shell model including terms up to \(O(h^5)\). II: Existence of minimizers ⋮ On a Problem of Thermal Stresses in the Theory of Cosserat Elastic Shells with Voids ⋮ A mathematical study of the linear theory for orthotropic elastic simple shells ⋮ On generalized Cosserat-type theories of plates and shells: a short review and bibliography ⋮ The approximate solution of some plane boundary value problems of the moment theory of elasticity ⋮ Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Existence of weak solutions in linear elastostatics of Cosserat surfaces
• The solution of Saint-Venant's problem in the theory of Cosserat shells
• Minimum energy characterizations for the solution of Saint-Venant's problem in the theory of shells
• On inequalities of Korn's type. I: Boundary-value problems for elliptic systems of partial differential equations
• Cosserat theories: Shells, rods and points

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