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Geometrically Nonlinear Analysis of Rectangular Glass Plates by the Finite Element Method.
Al-Tayyib, A. H. J.
National Science Foundation, Washington, DC. Engineering and Applied Science., May 1980, 161 p.
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The need for a re-evaluation of the window glass design process has led to the development of a finite element model for stress analysis of geometrically nonlinear, uniformly loaded rectangular plates. The formulation uses a rectangular finite element with displacement fields depicted by shape functions which are products of one-dimensional Hermitian polynomials of order one. A 48 degree of freedom element results. Thirty-two of the 48 degrees are allowed to represent the membrane behavior of the plate. System equilibrium equations are then formulated and solved, using a Langrangian-type linear incremental approach. Comparison of results with sample problems from experimental data and the published literature indicates that convergence differs between bending and membrane stresses, depending upon location within the plate and relative magnitude of the loading increment.
Sheet glass; Wind pressure; Window glass; Glass strength; Mathematical models; Plate glass; Finite element analysis; Earthquake engineering; Loads (Forces); Lateral pressure