MAE 7750 - [Introductory Nonlinear Finite Element Analysis for Solids]

(crosslisted) CEE 7750

Spring. Not offered: 2023-2024. Next offered: 2024-2025. 3 credits. Letter grades only.

Prerequisite: MAE 5700 or equivalent or permission of instructor.

N. Bouklas.

The focus of this course is the development of the fundamentals of nonlinear finite element analysis for continuum solids, spanning topics from finite element formulations, functional analysis, numerical solution techniques to aspects of practical implementation. Most natural phenomena are nonlinear, so the main aim of this course is the development of an adequate framework to model nonlinear phenomena in solids and obtain approximate solutions. We will focus on several problems for solid mechanics, including material nonlinearities, geometric nonlinearities, contact mechanics, and multiphysics problems. All assignments will include coding.

Outcome 1: Students will be able to develop nonlinear finite element formulations for problems in solid mechanics.

Outcome 2: Students will be able to learn about nonlinear solution techniques.

Outcome 3: Students will be able to learn practical finite element implementation details for nonlinear problems in solid mechanics.