论文部分内容阅读
采用MLPG和HOSNDPT方法对分级厚弹性板的极小变形进行了分析。两类径向基函数,即二次多项式型和薄板条带型,用于构建试解。在局部域,四阶样条函数被用作重力/测试函数。采用Mori-Tanaka均匀化技术计算了由仅在厚度方向变化的各向同性材料的要素所构成的板的有效模量。对于简单支撑的铝/陶瓷板,计算结果与解析解十分吻合。两对边自由、另两对边简单支撑板的计算结果,与采用有限元方法分析板的三维变形所获得结果具有一致性。对于不同边界条件下,板挠度和应力的分配也进行了分析。研究发现,两种类型的径向基函数均给出了板挠度的精确值,而二次多项式函数给出了比薄板条带函数更为精确的应力值。
The MLPG and HOSNDPT methods were used to analyze the minimal deformation of graded thick elastic plates. Two types of radial basis functions, quadratic polynomial and lamella type, are used to construct the solution. In the local domain, the fourth-order spline function is used as a gravity / test function. The Mori-Tanaka homogenization technique was used to calculate the effective modulus of the plate consisting of the elements of the isotropic material varying only in the thickness direction. For simple supported aluminum / ceramic plates, the calculated results agree well with the analytical solutions. Two pairs of edges are free, and the other two pairs of edge simple support plate calculation results are consistent with those obtained by using the finite element method to analyze the three-dimensional deformation of the plate. The distribution of plate deflection and stress is also analyzed for different boundary conditions. It has been found that both types of radial basis functions give the exact value of plate deflection, while quadratic polynomial functions give more accurate stress values than the sheet strip function.