Asymptotic generalization of Reissner-Mindlin theory: accurate three-dimensional recovery for composite shells.

DOI10.1016/S0045-7825(02)00440-1zbMath1060.74044OpenAlexW2104422914MaRDI QIDQ1867631

Wenbin Yu, Dewey H. Hodges, Vitali V. Volovoi

Publication date: 2 April 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(02)00440-1

zbMATH Keywords

variational asymptotic method

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Composite and mixture properties (74E30) Shells (74K25)

Related Items (9)

Hybrid energy transformation to generalized Reissner-Mindlin model for laminated composite shells ⋮ A novel, single-layer model for composite plates using local-global approach ⋮ Variational asymptotic micromechanics modeling of heterogeneous porous materials ⋮ A three-dimensional state space finite element solution for laminated composite cylindrical shells. ⋮ Asymptotically-Accurate Nonlinear Hyperelastic Shell Constitutive Model Using Variational Asymptotic Method ⋮ Finite element modeling of Kirchhoff‐Love shells as smooth material surfaces ⋮ Nonlinear bending analysis of radial-stiffened annular laminated sector plates with dynamic relaxation method ⋮ An asymptotic theory of sandwich plates ⋮ Geometrically-exact, intrinsic theory for dynamics of moving composite plates

Cites Work

• Predictor-corrector procedures for stress and free vibration analyses of multilayered composite plates and shells
• Variational-asymptotic method of constructing a theory of shells
• On the strain energy of laminated composite plates
• On asymptotically correct linear laminated plate theory
• An assessment of five modeling approaches for thermo-mechanical stress analysis of laminated composite panels
• Asymptotic construction of Reissner-like composite plate theory with accurate strain recovery.
• A higher-order shear deformation theory of laminated elastic shells
• A Geometrically Nonlinear Shear Deformation Theory for Composite Shells
• A Geometrically Nonlinear Theory of Elastic Plates
• An improved simple higher-order theory for laminated composite shells
• Derivation of Plate Theory Accounting Asymptotically Correct Shear Deformation
• Nonlinear Beam Kinematics by Decomposition of the Rotation Tensor

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