Finite element analysis of solids and fluids i

Lectures: 2 sessions / week, 1.5 hours / session

2.001 Mechanics and Materials I

2.003J Dynamics and Control I

We focus on modern practical finite element methods for solids and fluids using physical explanations of the finite element methods. The analysis procedures are used extensively in the various fields of engineering and the sciences.

Some strong reasons for taking this course:

Great knowledge in your toolbox whatever your goals!

Hence in the course we focus on the actual analysis of problems, the physical explanation of the finite element methods, and the use of a general computer program. We shall consider solids and fluids and keep the theoretical discussions of finite element methods to a minimum.

The methods studied in this course are practical procedures that are employed extensively in the mechanical, civil, ocean and aeronautical industries.

You will find readings and references to special topics in the textbook.

Bathe, K. J. Finite Element Procedures. 2nd ed. Klaus-Jürgen Bathe, 2014. ISBN: 9780979004957.

The student's course grade will be based on:

We will use ADINA for all finite element program related homework and for the projects. Two special lectures, Sessions #8 and 9, will be given on the use of and modeling with ADINA for the analysis of solids and structures, fluid flows, i.e. CFD, and fluid flows with structural interactions, i.e. FSI. These lectures will prepare you to complete your homework assignments using ADINA and your project. Please see this page for a list of alternative finite element analysis programs.

The reading assignments will be given in each lecture and will refer to the textbook Finite Element Procedures. A list of readings by session is also available on the Calendar page.

You will not be required to develop a computer program. However, some homework will require that you use the graphical user interface of the finite element program system ADINA, which can be run on your laptop.

Every graduate student taking 2.093 is required to complete a term project; undergraduates taking 2.092 are not required to complete a project. Hence, the only difference between taking 2.093 (graduate students) and 2.092 (undergraduate students) is this requirement regarding the project. Further details about the project are given on the Projects page.

Prof. Bathe has recorded two video courses on the topics of Linear Analysis and Nonlinear Analysis, now available from MIT OpenCourseWare. While these lectures do not correspond directly to the sequence of topics in 2.092/2.093, they can serve as a useful complement to the materials presented here.

You may also be interested in the course 2.094 Finite Element Analysis of Solids and Fluids II.

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