摘要
功能梯度材料结构沿厚度方向具有非均匀性,在其本构关系中会存在拉伸-弯曲耦合效应。在某些条件下,由于这个耦合效应的存在会引起前屈曲耦合变形,因此只要施加面内外载荷,就会伴随该载荷而产生耦合挠度。该文基于经典非线性板理论,导出了计及前屈曲耦合变形时功能梯度圆板稳定性问题的基本方程,并给出了判断功能梯度圆板是否发生屈曲现象的方法。用打靶方法对所得方程进行了数值求解,并利用数值结果研究了在不同边界条件和不同外因素下前屈曲耦合变形对功能梯度圆板稳定性的影响。
Due to the heterogeneous property of plates or shells made of functionally graded materials（FGM）, the stretching-bending coupling effect in their constitutive equations exists and applying in-plane compressive edge loads to such plates will cause the pre-buckling coupling deformation to appear under some conditions, that is, transverse deflection is initiated, regardless of the magnitude of the loading. Based on the classical nonlinear plate theory, basic equations for stability of a functionally graded circular plate under uniform radial compression or thermal load are derived and the pre-buckling coupling deformation is taken into account in analysis, and then a method is given to identify whether or not true bifurcation buckling can occur. A shooting method is employed to numerically solve the resulting equations and the effects of the pre-buckling coupling deformation on the stability of FGM circular plates are studied under various boundary conditions and applied loading conditions.
出处
《工程力学》
EI
CSCD
北大核心
2010年第4期68-72,89,共6页
Engineering Mechanics
基金
国家自然科学基金项目(10872083)
甘肃省自然科学基金项目(0710RJZA057)
甘肃省教育厅项目(0603B-05)
兰州理工大学工程力学重点学科团队项目
关键词
前屈曲耦合变形
功能梯度材料
屈曲
稳定性
圆板
打靶法
pre-buckling coupling deformation
functionally graded material
buckling
stability
circular plate
shooting method
