The present work fills a gap on the postbuckling behavior of multilayer functionally graded graphene platelet reinforced composite (FG-GPLRC) cylindrical and spherical shell panels resting on elastic foundations subjected to central pinching forces and pressure loadings. Based on a higher-order shear deformation theory and the von Kármán’s nonlinear strain–displacement relations, the governing equations of the FG-GPLRC cylindrical and spherical shell panels are established by the principle of virtual work. The non-uniform rational B-spline (NURBS) based isogeometric analysis (IGA), the modified arc-length method and the Newton’s iteration method are employed synthetically to obtain nonlinear load–deflection curves for the panels numerically. Several comparative examples are performed to test reliability and accuracy of IGA and arc-length method in present formulation and programming implementation. Parametric investigations are carried out to illustrate the effects of dispersion type of the graphene platelet (GPL), weight fraction of the GPL, thickness of the panel, radius of the panel and parameters of elastic foundation on the load–deflection curves of the FG-GPLRC shell panels. Some complex load–deflection curves of the FG-GPLRC cylindrical and spherical shell panels resting on elastic foundations may be useful for future references.

本工作填补了多层功能梯度石墨烯血小板增强复合材料（FG-GPLRC）圆柱形和球形壳板在弹性基础上承受中心挤压力和压力载荷后屈曲行为的空白。基于高阶剪切变形理论和vonKármán的非线性应变-位移关系，根据虚功原理建立了FG-GPLRC圆柱壳和球形壳板的控制方程。综合采用基于非均匀有理B样条（NURBS）的等几何分析（IGA），改进的弧长方法和牛顿迭代法，以数值方式获得面板的非线性载荷－挠度曲线。进行了几个比较例，以测试IGA的可靠性和准确性以及当前公式和编程实现中的弧长方法。进行了参数研究，以说明石墨烯血小板（GPL）的分散类型，GPL的重量分数，面板的厚度，面板的半径以及弹性地基参数对FG-载荷-挠度曲线的影响。 GPLRC外壳面板。FG-GPLRC圆柱形和球形壳面板位于弹性基础上的一些复杂的载荷-挠度曲线可能对将来的参考很有用。面板的半径和FG-GPLRC外壳面板的载荷-挠度曲线上的弹性地基参数。FG-GPLRC圆柱形和球形壳面板位于弹性基础上的一些复杂的载荷-挠度曲线可能对将来的参考很有用。面板的半径和FG-GPLRC外壳面板的载荷-挠度曲线上的弹性地基参数。FG-GPLRC圆柱形和球形壳面板位于弹性基础上的一些复杂的载荷-挠度曲线可能对将来的参考很有用。