Approximated calculation of the Kirchhoff plate resting on the Vlasov foundation with selected boundary conditions [PDF]
The paper presents the problem of bending of the Kirchhoff plate resting freely on the elastic Vlasov subsoil with additional external load g to the subsoil applied near the transverse edge of the plate.
Konstantin Rusakov, Mykola Nagirniak
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Vibrations of dam–plate of a hydro-technical structure under seismic load [PDF]
In present paper, the problem of the vibration of a viscoelastic dam-plate of a hydro-technical structure is investigated, based on the Kirchhoff-Love hypothesis in the geometrically nonlinear statement.
Tukhtaboev A +3 more
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Two-Scale Asymptotic Homogenization Method for Composite Kirchhoff Plates with in-Plane Periodicity
This paper develops a two-scale asymptotic homogenization method for periodic composite Kirchhoff plates. In this method, a three-dimensional (3D) periodic plate problem is simplified as a Kirchhoff plate problem, which is governed by a fourth-order ...
Zhiwei Huang, Yufeng Xing, Yahe Gao
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On boundary layer in the Mindlin plate model: Levy plates [PDF]
This work is related to the bending problem of thick rectangular Levy plates. Series solution for the Mindlin (thick) plate model is obtained and represented as a sum of the Kirchhoff (thin) plate model solution, the ``shear terms'' and the ``boundary ...
Brank, Boštjan
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Quasistatic delamination models for Kirchhoff‐Love plates [PDF]
AbstractA quasistatic rate‐independent brittle delamination problem and also an adhesive unilateral contact problem is considered on a prescribed normally‐positioned surface in a plate with a finite thickness. By letting the thickness of the plate go to zero, two quasistatic rate‐independent crack models with prescribed path for Kirchhoff‐Love plates ...
Freddi, L. +3 more
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Nonlinear morphoelastic plates II: exodus to buckled states [PDF]
Morphoelasticity is the theory of growing elastic materials. This theory is based on the multiple decomposition of the deformation gradient and provides a formulation of the deformation and stresses induced by growth.
Goriely, A., McMahon, J., Tabor, M.
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Multiscale homogenization in Kirchhoff's nonlinear plate theory [PDF]
The interplay between multiscale homogenization and dimension reduction for nonlinear elastic thin plates is analyzed in the case in which the scaling of the energy corresponds to Kirchhoff's nonlinear bending theory for plates. Different limit models are deduced depending on the relative ratio between the thickness parameter h and the two ...
Davoli, Elisa +2 more
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Defect Detection in Plate Structures using Wavelet Transformation
This paper is concerned with defect detection in plate structures while considering the influence of external loads. The examined structures are based on Kirchhoff plate structures. Rectangular plate structures are considered.
Anna KNITTER-PIĄTKOWSKA +1 more
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An initial stability of Kirchhoff plates is analysed in the paper. Proposed approach avoids Kirchhoff forces at the plate corner and equivalent shear forces at a plate boundary. Two unknown variables are considered at the boundary element node.
Michał GUMINIAK
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Model adaptivity for finite element analysis of thin or thick plates based on equilibrated boundary stress resultants [PDF]
Purpose – The purpose of this paper is to address error-controlled adaptive finite element (FE) method for thin and thick plates. A procedure is presented for determining the most suitable plate model (among available hierarchical plate models) for each ...
Bohinc, Uroš +2 more
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