Meshless-method-based numerical algorithm of FG-GRC (functionally-graded graphene-reinforced composite) laminate buckling load factor

The invention discloses a meshless-method-based numerical algorithm of FG-GRC (functionally-graded graphene-reinforced composite) laminate buckling load factor, comprising the steps of constructing amodel to determine geometric parameter and material parameters; solving a linear constitutive equation and a total energy function; constructing a meshless method shape function and applying boundaryconditions; calculating a stiffness matrix, and acquiring buckling load factor through an eigenvalue equation. The buckling load factor of an FG-GRC laminate under external thermal load and axial pressure can be accurately calculated through the algorithm. The algorithm is significant to the researches on the impact of boundary temperature, graphene distribution form, laminate length-width ratio and width-height ratio, number of laminas and the like upon buckling characteristics of FG-GRC laminates. 本发明公开了种基于无网格法的FG-GRC板屈曲载荷因子的数值算法，包括以下步骤：构建模型，确定几何参数与材料参数；求解线性本构方程与总能量函数；构建无网格法的形函数并施加边界条件；计算刚度矩阵并通过特征值方程得出屈曲载荷因子。通过本发明可以准