数值流形方法在连续体数值分析中的应用

APPLICATION OF THE NUMERICALMANIFOLD METHOD TO THECONTINUOUS NUMERICALANALYSIS

  • 摘要: 在平面连续作的数值计算中使用数值流形方法的各阶覆盖位移函数和统一的三节点三角形流形单元,能够得到高精度的数值结果,且具有编程和前后处理简单等优点,克服了有限元法复杂理论的不足.文中还引入了三角形单元Hammer数值积分,使流形方法的程序编制通用化.

     

    Abstract: In this paper, the vary-order coverdisplacement function of the Numerical ManifoldMethod (NMM) and the trinodel-triangular manifold element are used to calculate the plane continuum problem. The high precise results can beobtained. The charactericstics of easy programming and simple preprocessing and postprocessingare also clearly shown by compared with the FEM.The Hammer integration of triangular area coordinates is used in the integration of the element.

     

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