Long-Term Bending Behavior of Laminated Glass Plate with Temperature-Dependent Viscoelastic Interlayer

Area of Science:

• Materials Science
• Structural Engineering
• Solid Mechanics

Background:

• Laminated glass (LG) is crucial in modern construction and automotive applications.
• Understanding the long-term viscoelastic behavior of LG interlayers under thermal and mechanical loads is essential for structural integrity.
• Existing analytical models often simplify interlayer behavior or are computationally intensive.

Purpose of the Study:

• To develop an accurate and efficient analytical model for the long-term bending behavior of simply supported laminated glass plates with temperature-dependent viscoelastic interlayers.
• To provide a computationally efficient alternative to finite element analysis for LG plate simulations.
• To investigate the influence of various parameters on the stress and deflection characteristics of LG plates.

Main Methods:

• Formulation of governing equations using three-dimensional elasticity theory and the state-space method.
• Characterization of the viscoelastic interlayer using the generalized Maxwell model and Williams-Landel-Ferry equation.
• Derivation of analytical solutions through double Fourier series expansions and Laplace-transform techniques.

Main Results:

• The proposed analytical model accurately predicts the long-term bending behavior of laminated glass plates.
• The model demonstrates significant computational advantages over finite element methods, being orders of magnitude faster with reduced memory requirements.
• Kirchhoff-Love plate theory shows limitations for thicker LG plates compared to the developed model.

Conclusions:

• The developed analytical model provides a reliable and efficient tool for analyzing the long-term performance of laminated glass plates.
• The study highlights the critical role of temperature-dependent viscoelasticity in the structural response of LG plates.
• Parametric studies offer valuable insights into optimizing LG plate design by understanding factors affecting stress and deflection.