具有不同功能梯度分布函数的板件的三维分析

发展了一种新颖的功能梯度结构分析的细观元法。细观元法对结构的常规有限单元内部设置密集细观单元以反映材料特性梯度变化,又通过协调条件将各细观元结点自由度转换为同一常规有限元自由度,再上机计算。这种细观元法既能充分反映材料功能梯度变化特性;而其计算单元又和常规有限元一样,是一种针对功能梯度结构分析的有效数值方法。文中通过细观元技术进行计算、分析,给出了具有不同功能梯度分布函数板件的力学量三维分布形态。

Three-dimensional Analysis to Functionally Graded Plates with Different Graded Distribution Functions

A new microelement method for the analysis of functionally graded structures is proposed,where the dense microelements are set up in the normal finite element of the structure,and the freedom degrees of all microelemental nodes are transformed into the freedom degrees of the same normal finite elements via the compatibility conditions.This microelement method enables to fully reflect the functionally graded properties of the materials,and the computational elements are equal to the normal finite elements.The three-dimensional analysis of plates with different graded distribution functions is carried out with the microelement method.