CaSE Seminar: Harry Millwater

Description

Harry Millwater, a professor of mechanical engineering at The University of Texas at San Antonio, will give a talk titled "High Order Sensitivity and Uncertainty Analysis Using the Hypercomplex Finite Element Method" for the Department of Civil and Systems Engineering.

This is a hybrid event; to attend virtually, please use the Zoom link.

Abstract:

The use of hypercomplex variables and algebra within a finite element code provides a convenient method to obtain highly accurate, high order sensitivities of the degrees of freedom with respect to arbitrary shape, material and loading parameters. Subsequent post processing leads to sensitivities of the strains, stresses, strain energy, etc. The attraction of the method is that no new equations or finite element formulation is required – the method augments current formulations. The University of Texas at San Antonio (UTSA) has developed the hypercomplex finite element code ZFEM using a user-element within the Abaqus commercial finite element software. ZFEM has been applied successfully in a number of disciplines such as fracture mechanics, plasticity, heat transfer, and structural dynamics, among others. A highly efficient non-intrusive version has also been developed. ZFEM has recently been coupled with a moment-based uncertainty quantification method such that estimates of the mean, variance, skewness, and kurtosis can be obtained using only the ZFEM outputs. Applications to a number of disciplines will be presented.