Analysis of plane notch problems with analytical trial functions' method

作者：Fu Xiang Rong; Long Yu Qiu^*

来源：Engineering Mechanics, 2003, 20(4): 33-38+73.

• Analytical trail functions method
• Plane notch problems
• Subregion accelerated Muller method
• Subregion mixed energy principle
• Williams equations

The basic analytical solutions of plane notch problem are used to formulate finite elements, and the proposed elements are used to analyze the plane notch structure in turn. Following the analysis to the existence intervals of the Williams equations, the subregion accelerated Muller method is used to calculate the eigenvalues of plane notch problems. From the Williams stress function, the basic analytical solutions of the stress field at the tips of V-notchs are derived and then used as the trial functions to formulate the element: ATF-VN. Meanwhile, the Subregion mixed energy principle is used in the formulation of the stiffness matrix. In this paper, a systematic research has been done to analyze the factors that influence the results, such as the elements size and the stress item number.

• 出版日期2003
• 单位清华大学