The formulations and numerical solution of nonlinear problems in
structural, mechanical, and biological/biomedical engineering by
finite element methods. Both geometric and material
nonlinearities will be studied. Students are expected to learn
how to use a finite element analysis tool and complete a
practical engineering project.
Athena Title
Nonlinear Finite Element Analy
Equivalent Courses
Not open to students with credit in CVLE 8350E
Prerequisite
Permission of department
Semester Course Offered
Offered every year.
Grading System
A - F (Traditional)
Student learning Outcomes
In this course students will learn non-linear finite element techniques via computer implementation. At the completion of this course, the student should be able to perform nonlinear FEA of real engineering problems.
In this course students will learn non-linear finite element techniques via computer implementation. At the completion of this course, the student should be able to understand material and geometric nonlinearities.
In this course students will learn non-linear finite element techniques via computer implementation. At the completion of this course, the student should be able to have knowledge of different solution methods for nonlinear equations.
In this course students will learn non-linear finite element techniques via computer implementation. At the completion of this course, the student should be able to suggest appropriate analysis methods for different types of nonlinear problems.
In this course students will learn non-linear finite element techniques via computer implementation. At the completion of this course, the student should be able to solve nonlinear problems using an engineering analysis tool.
In this course students will learn non-linear finite element techniques via computer implementation. At the completion of this course, the student should be able to interpret the analysis results from Nonlinear FEA.
In this course students will learn non-linear finite element techniques via computer implementation. At the completion of this course, the student should be able to understand errors and convergence problems.
Topical Outline
Overview of Nonlinear Problems
Formulation of Nonlinear Equations and Methods
Numerical Solution of Nonlinear Equations (e.g., Incremental, Newton, Secant, and Line Search Methods)
Computer Implementation of Nonlinear Problems (Geometric Nonlinearities)
Error Analysis and Convergence
Computer Implementation of Nonlinear Problems (Material Nonlinearities such as Plasticity and Hyperplasticity)
Transient Problems (e.g., Implicit and Explicit Methods, Newmark’s and Runga-Kutta’s Methods)
