受外压纤维增强复合村料层合曲板屈曲的有限元分析

受外压纤维增强复合村料层合曲板屈曲的有限元分析 BUCKLING OF FIBRE-REINFORCED CURVED LAMINATED PANEL UNDER EXTERNAL PRESSURE 沈成武 Shen Chengwu Hu Maohe 1 2 3 first-author 胡茂和 1 2 3 武汉大学武汉大学数学系 武汉大学武汉大学数学系 Department of Mathematics,Wuhan University Department of Mathematics,Wuhan University 武汉大学602研究所 武汉大学602研究所 武汉大学武汉大学数学系武汉大学602研究所 武汉大学武汉大学数学系武汉大学602研究所 本文讨论受外压纤维增强复合材料层合曲板的屈曲问题。建立了相应的压力增量形有限元控制方程,并且考虑了因有限变形所引起材料主轴的转动。为跟踪屈曲后曲板的响应,提出一点位移强制的降阶方法,通过算例用数值方法模拟了曲板屈曲前后的变形和应力分布,还给出弹性屈曲变形能否卸载恢复的判据。 This paper investigates a buckling problem for a curved laminated panal of a fiber-reinforced composite,established corresponding finite element gove- ning equations in the pressure increamental form considering a rotation of ma- terial principal axes arised from the finite deformation. To follow the tracks of the panel response after buckling,a condensation algorithm of one point coerced displacement is proposed.From a numerical ex- ample,the deformation and stress distribution before and after buckling of the curved panel are simulated,then a criterion of the reinstatement of elastic buckling during unloading is obtained. 屈曲 纤维增强复合材料 层合曲板 压力边界条件 分叉 buckling fiber-reinforced composite curved laminated panel perssure boundary condition bfurcation 国家自然科学基金(61672102) 1991-01-01 2021-04-01 1