Static Analysis of Interval Finite Element

Four methods of interval finite element for static analysis are proposed. Using the second-order and third-order Taylor expansion , interval finite element for static analysis is addressed. Neumann expansion of interval finite element for static analysis is formulated. Interval finite element using Sherman -Morrison-Woodbury expansion is presented. A new iterative method (NIM) is used for interval finite element calculation. Four methods can calculate the upper and lower bounds of node displacement and element stress.

Keywords: A new iterative method (NIM), Interval finite element, Neumann expansion, Taylor expansion, Sherman-Morrison-Woodbury expansion, Static analysis.