A new model for nonlinear elastic plates with rapidly varying thickness
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Publication:4733511
DOI10.1080/00036818908839842zbMath0683.73027OpenAlexW2086683203WikidataQ58299053 ScholiaQ58299053MaRDI QIDQ4733511
Publication date: 1989
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036818908839842
two-dimensional modelslimit problemthree-dimensional constitutive equationSt. Venant-Kirchhoff materiallinear with respect to the full strain tensormultiple-scale asymptotic expansion
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Related Items (4)
Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations ⋮ The effect of different scalings in the modelling of nonlinearly elastic plates with rapidly varying thickness ⋮ Modeling and optimization of non-symmetric plates ⋮ Nonlinearly elastic membrane model for heterogeneous plates: a formal asymptotic approach by using a new double scale variational formulation
Cites Work
- A new model for thin plates with rapidly varying thickness
- A justification of a nonlinear model in plate theory
- A new model for thin plates with rapidly varying thickness. II. A convergence proof
- A new model for nonlinear elastic plates with rapidly varying thickness, ii: the effect of the behavior of the forces when the thickness approaches zero
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