Rigorous amendment of Vlasov's theory for thin elastic plates on elastic Winkler foundations, based on the principle of virtual power

DOI10.1016/j.euromechsol.2018.07.013zbMath1406.74436OpenAlexW2887515950WikidataQ129392378 ScholiaQ129392378MaRDI QIDQ1756281

R. Blab, Christian Hellmich, M. Aminbaghai, L. Eberhardsteiner, Bernhard L. A. Pichler, Josef Eberhardsteiner, Raphael Höller

Publication date: 14 January 2019

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2018.07.013

zbMATH Keywords

principle of virtual powerKirchhoff plate theorybending problemWinkler foundation modelplate on elastic foundation

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Kinematics of deformation (74A05)

Related Items (7)

Data-driven analytical mechanics of aging viscoelastic shotcrete tunnel shells ⋮ A principle of virtual power-based beam model reveals discontinuities in elastic support as potential sources of stress peaks in tramway rails ⋮ Stress average rule derived through the principle of virtual power ⋮ On the finite integral transform approach for analytic thermal buckling solutions of orthotropic plates ⋮ Elastic contact of a stiff thin layer and a half-space ⋮ Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique ⋮ Bending analysis of circular thin plates resting on elastic foundations using two modified Vlasov models

Uses Software

• Matlab
• RFEM

Cites Work

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• Continuum Thermodynamics
• The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
• Work conjugacy error in commercial finite-element codes: its magnitude and how to compensate for it

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