一种高精度三维八节点流形单元

A high precision eight nodes manifoldelement in three dimensional analysis

基于数值流形方法构造了一种新型的三维八节点六面体流形单元 ,该单元能够通过增加覆盖位移函数的阶数而不是单元的节点数来提高数值解的精度 ,简化了三维问题的程序编制和前后处理过程 ,且可以在求解区域的不同地方混合使用各阶覆盖函数来提高求解效率 ,弥补了有限元法的不足 .计算结果表明 ,数值解与理论解吻合 .

A new type hexahedral and eight nodes manifold element is constructed for three dimensional analysis based on the Numerical Manifold Method(NMM).The highly solution precison can be aquried by using the high order cover displacement function at the physical cover of the manifold element and the solution efficiency can also be improved by using varying cover function at the different region of the structure.THe charactericstics of easy programming and simple rpeprocessing and postprocessing are clearly shown by compared with the FEM.The calculation results shows that the numerical results are in good agreement with theoretical solutions.