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<p>A novel computational framework for the geometrically nonlinear elastic response of sandwich rods, plates and shells is proposed and investigated in the context of statics of a straight sandwich beam. Particular attention is paid to the local effects associated with thickness deformation. Modeling the face sheets as geometrically exact 1D rods with bending and tension/compression, and the soft core as a 2D continuum at plane stress, is efficient with the <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="707_2025_4257_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(C^1\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>C</mi> <mn>1</mn> </msup> </math></EquationSource> </InlineEquation> continuous approximation of displacements using the corresponding bonding conditions. The benchmark problems include bending of the sandwich beam under distributed loading and under the action of a concentrated force, buckling under compression, and local wrinkling analysis at force bending. The mesh convergence of the numerical model is established, and the solutions are validated for a wide range of core stiffness against other reference results obtained with commercial finite element software as well as against analytical results available in the literature.</p>

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Large deformation analysis of sandwich beams using compound \(C^1\) continuous finite element approximation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月22日

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  • Yury Vetyukov,
  • Ali Razgordanisharahi

摘要

A novel computational framework for the geometrically nonlinear elastic response of sandwich rods, plates and shells is proposed and investigated in the context of statics of a straight sandwich beam. Particular attention is paid to the local effects associated with thickness deformation. Modeling the face sheets as geometrically exact 1D rods with bending and tension/compression, and the soft core as a 2D continuum at plane stress, is efficient with the \(C^1\) C 1 continuous approximation of displacements using the corresponding bonding conditions. The benchmark problems include bending of the sandwich beam under distributed loading and under the action of a concentrated force, buckling under compression, and local wrinkling analysis at force bending. The mesh convergence of the numerical model is established, and the solutions are validated for a wide range of core stiffness against other reference results obtained with commercial finite element software as well as against analytical results available in the literature.