复合材料层合板非线性稳定性分析的边界元法

Boundary Element Method in Nonlinear Stability Analysis of Composite Laminates

应用边界元法对多向铺设的复合材料层合板结构进行非线性稳定性分析．在分析中计及了几何非线性和物理非线性的影响，导出了层合板在纵向轴压力作用下屈曲的控制方程，采用双重傅立叶级数建立了边界积分方程．通过对几种玻璃／环氧复合材料层合板铺展情况的计算得到临界力，并获得一些有意义的结论．

The nonlinear stability is analyzed for multioriented composite laminates by means of the boundary element method. The influences of geometry nonlinearity and physics nonlinearity of the composite material are taken into account. The governing equations of nonlinear post-bucking for composite laminates under axial compressive loads are proposed. The boundary integral equations are determined with the double Fourier series. Numerical results are given for graphite/epoxy composite laminates with various fiber orientation and different layer numbers and the initial loads are obtained.Some conclusions beneficial to practical engineering are sumarized.