薄圆板的后屈曲响应及圆形脱层的能量释放率

POSTBUCKLING RESPONSE OF THIN CIRCULAR PLATES AND ENERGY RELEASE RAf E OF CIRCULAR DELAMINATION

研究了薄圆板及圆形脱层薄膜的轴对称后屈曲问题，并首次研究了轴对称后屈曲变形之后的二次非轴对称分叉屈曲问题．采用暴级数展开的方法。

In the present paper, the problem of the axisymmetric postbuckling response has been investigated for thin circular plates and delaminated circular films under the action of inplane compression. Especially, the problem of the asymmetric bifurcation buckling occuring at the stage of the axisymmetric postbuckling deformation has beed investigated for the first time.The regular solutions of the axisymmetric buckling and postbuckling equations are derived by the use of power series expansions, and the solutions of the equations for the second-time bifurcation buckling and postbuckling are obtained by using the Fourier series and the power series simultaneously.The delaminated circular film is treated as a thin circular plate clamped to the substrate along the boundary of the delaminated zone, and the energy release rates corresponding to the two stages of tile postbuckling deformation of the film are calculated.