Two-dimensional model for the combined bending, stretching and transverse shearing of laminated plates derived from three-dimensional elasticity

DOI10.1177/1081286510390800zbMath1269.74145OpenAlexW1975532987MaRDI QIDQ2842395

Erick Pruchnicki

Publication date: 14 August 2013

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286510390800

zbMATH Keywords

linear elasticitylaminated platesstrain gradients

Mathematics Subject Classification ID

Plates (74K20) Composite and mixture properties (74E30)

Related Items (6)

Refined theory for linearly elastic plates: Laminae and laminates ⋮ One-dimensional model for the combined bending, stretching, shearing and torsion of rods derived from three-dimensional elasticity ⋮ An exact two-dimensional model for heterogeneous plates ⋮ Homogenization of a second order plate model ⋮ Two-dimensional model of order h⁵ for the combined bending, stretching, transverse shearing and transverse normal stress effect of homogeneous plates derived from three-dimensional elasticity ⋮ Two-dimensional model for the combined bending, stretching and shearing of shells: A general approach and application to laminated cylindrical shells derived from three-dimensional elasticity

Cites Work

• Nonlinearly elastic membrane model for heterogeneous plates: a formal asymptotic approach by using a new double scale variational formulation
• Two-dimensional models for the combined bending and stretching of plates and shells based on three-dimensional linear elasticity
• Homogenization of nonconvex integral functionals and cellular elastic materials
• Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations
• A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
• Nonlinearly elastic membrane model for heterogeneous shells by using a new double scale variational formulation: A formal asymptotic approach
• Asymptotic analysis of linearly elastic shells. II: Justification of flexural shell equations
• Some Open Problems in Elasticity
• The Graves condition for variational problems of arbitrary order
• Shells with thickness distension
• Justification of a two-dimensional nonlinear shell model of Koiter's type

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