Laminated glass plates: revealing of nonlinear behavior
Laminated glass plates: revealing of nonlinear behavior
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DOI：
10.1016/s0045-7949(03)00325-0
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发表时间：
2003-11-01
影响因子：
4.7
通讯作者：
Asik, MZ
中科院分区：
文献类型：
--
作者：
Asik, MZ
由两层玻璃和一层聚乙烯醇缩丁醛（PVB）夹层组成的夹层玻璃单元在使用荷载范围内表现出非常复杂的行为。复杂的行为是由于几何形状的影响，经历大的偏转和阶差的弹性模量的玻璃和PVB。夹层玻璃板的非线性行为表示为五个耦合的非线性偏微分方程的横向和面内位移通过变分方法获得。用中心差分法将微分方程写在玻璃板的离散点上，得到线性代数方程组。由于代数方程组是非线性的，通过带状矩阵求解器的侧向位移和强隐式方法的面内位移的迭代技术来预测位移。只有当使用可变的欠松弛参数时才能得到解，否则解发散。结果表明，复杂的应力场的发展，和最大应力是旅行;开始在中心，以下x轴，然后在对角线上移动，并在该区域更接近角落在高非线性水平。(C)2003 Elsevier Ltd.保留所有权利。
A laminated glass unit which consists of two glass plies and an interlayer polyvinyl butyral (PVB) shows very complex behavior in the range of service loads. Complex behavior is due to the effect of geometry that undergoes large deflection and order difference in modulus of elasticity of glass and PVB. The nonlinear behavior of laminated glass plate is represented by five coupled nonlinear partial differential equations for lateral and in-plane displacements obtained through the variational approach. Linear algebraic equations are obtained by writing the differential equations at discrete points of glass plates by using finite difference method with central differences. Since the algebraic equations are nonlinear, the iterative technique is employed to predict the displacements through the banded matrix solver for lateral displacement and strongly implicit method for in-plane displacements. Solution will only be reached when variable underrelaxation parameter is used; otherwise solution diverges. Results denote that complex stress fields develop, and maximum stress is traveling; starting at the center, following x-axis, then moving on the diagonal and settling at the region closer to the corner at high nonlinearity level. (C) 2003 Elsevier Ltd. All rights reserved.