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Structural Engineering and Mechanics Volume 65, Number 4, February25 2018 , pages 369-380 DOI: https://doi.org/10.12989/sem.2018.65.4.369 |
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Layer-wise numerical model for laminated glass plates with viscoelastic interlayer |
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Alena Zemanova, Jan Zemana, Tomas Jandab and Michal Sejnohac
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| Abstract | ||
| In this paper, a multi-layered finite element model for laminated glass plates is introduced. A layer-wise theory is applied to the analysis of laminated glass due to the combination of stiff and soft layers; the independent layers are connected via Lagrange multipliers. The von Kármán large deflection plate theory and the constant Poisson ratio for constitutive equations are assumed to capture the possible effects of geometric nonlinearity and the time/temperature-dependent response of the plastic foil. The linear viscoelastic behavior of a polymer foil is included by the generalized Maxwell model. The proposed layer-wise model was implemented into the MATLAB code and verified against detailed three-dimensional models in ADINA solver using different hexahedral finite elements. The effects of temperature, load duration, and creep/relaxation are demonstrated by examples. | ||
| Key Words | ||
| laminated glass plate; finite element method; layer-wise plate model; Lagrange multipliers; geometric nonlinearity; von Kármán assumptions; time/temperature-dependent behavior; generalized Maxwell model, Williams-Landel-Ferry equation; Newton method | ||
| Address | ||
| Alena Zemanova, Jan Zemana, Tomas Jandab and Michal Sejnohac: Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Prague 6, Czech Republic | ||