My current research focuses on model-based simulation of coupled problems in mechanics using finite element and particle element methods. This is applied to the following multiphysics problems: fluid-structure interaction (acoustoelasticity, aeroelasticity and hydroelasticity) thermomechanical interaction (heat conduction, transfer and mass transport), and control-structure interaction in structural dynamics. This research is conducted in collaboration with European researchers, notably at the International Center for Numerical Methods in Engineering (CIMNE), which is hosted by the Universidad Politecnica de Catalunya, Barcelona, Spain.
Computational structural and solid mechanics, nonlinear and dynamic analysis, Finite Element methods, particle element methods, variational mathematics, numerical analysis, model-based simulation of coupled field and multiphysics problems, elastoacoustics, aeroelasticity, aeroservoelasticity, thermomechanics, electrothermomechanics
ASEN 5007 - Introduction to Finite Elements
Fall 2018 / Fall 2019
Introduces finite element methods used for solving linear problems in structural and continuum mechanics. Covers modeling, mathematical formulation, and computer implementation. Recommended prerequisite: matrix algebra.
ASEN 6107 - Nonlinear Finite Element Methods
Continuation of ASEN 5007. Covers the formulation and numerical solution of nonlinear static structural problems by finite element methods. Emphasizes the treatment of geometric nonlinearities and structural stability. Recommended prerequisite: ASEN 5007 or equivalent or instructor consent required.
ASEN 6367 - Advanced Finite Element Methods for Plates, Shells, and Solids
Continues ASEN 5007. Covers more advanced FEM applications to linear static problems in structural and continuum mechanics. Focuses on modeling, formulation and numerical solutions of problems modeled as plates, shells and solids. Includes an overview of advanced variational formulations. Recommended prerequisite: introductory graduate level course in FEM and familiarity with linear algebra.