Seminar talk: Prof. Juan Carlos Osorio
The talk of Prof. Juan Carlos Osorio for Febr. 13 at 3.30 pm:
Title: Relations among Stiffness coefficients of hexahedral of 8-noded finite elements.
Abstract:Computing coefficients in stiffness matrices of finite element analysis in computational mechanics is time consuming, especially in large non-linear dynamic problems involving large meshes. Thus, any improvement in computational procedures to reduce the integration CPU time is welcomed. In this work, we suggest a efficient approach based on linear equations to describe the cross-relations among the element's shape-functions derivatives to compute three coefficients of the nodal stiffness submatrix as a function of other coefficients previously computed. The coefficients can relate different degrees of freedom at a given node in the element. They are used to evaluate other coefficients inside the same nodal submatrix. These equations give a Improvements of 28% of CPU time are obtained when the approach is applied to three dimensional discretizations with eight-node brick finite elements.