Restrictions on nonlinear constitutive equations for elastic shells

DOI10.1007/BF00043413zbMath0840.73040OpenAlexW4256699986MaRDI QIDQ1899745

P. M. Naghdi, M. B. Rubin

Publication date: 4 July 1996

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

Full work available at URL: https://doi.org/10.1007/bf00043413

zbMATH Keywords

free vibrationsrectangular platedifferential geometryspherical shellcircular holeinfinite plateCosserat modelhomogeneous deformationsPiola-Kirchhoff stressesassociate surface stressesnonlinear strain energy

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15) Theory of constitutive functions in solid mechanics (74A20)

Related Items (12)

On Extensional Oscillations and Waves in Elastic Rods ⋮ Restrictions on nonlinear constitutive equations for elastic rods ⋮ Reciprocal theorem for a linear elastic Cosserat interphase with general geometry ⋮ A linear isotropic Cosserat shell model including terms up to \(O(h^5)\). Existence and uniqueness ⋮ The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation ⋮ Duality in nonlinear theory of shells ⋮ On Saint-Venant's problem for anisotropic, inhomogeneous, cylindrical Cosserat elastic shells ⋮ A Cosserat shell model for interphases in elastic media ⋮ On generalized Cosserat-type theories of plates and shells: a short review and bibliography ⋮ Minimum energy characterizations for the solution of Saint-Venant's problem in the theory of shells ⋮ Analysis of constitutive assumptions for the strain energy of a generalized elastic membrane in a nonlinear contact problem ⋮ Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations

Cites Work

• On the formulation of contact problems of shells and plates
• The influence of the reference geometry on the response of elastic shells
• Free Vibration of a Rectangular Parallelepiped Using the Theory of a Cosserat Point
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