Finite element analysis of solids and fluids ii
Master
In Maynard (USA)
Description
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Type
Master
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Location
Maynard (USA)
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Start date
Different dates available
This course presents finite element theory and methods for general linear and nonlinear analyses. Reliable and effective finite element procedures are discussed with their applications to the solution of general problems in solid, structural, and fluid mechanics, heat and mass transfer, and fluid-structure interactions. The governing continuum mechanics equations, conservation laws, virtual work, and variational principles are used to establish effective finite element discretizations and the stability, accuracy, and convergence are discussed. The homework and the student-selected term project using the general-purpose finite element analysis program ADINA are important parts of the course.
Facilities
Location
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Subjects
- Materials
- Mechanics
Course programme
Lectures: 2 sessions / week, 1.5 hours / session
2.001 Mechanics and Materials I
The objective is to teach in a unified manner the fundamentals of finite element analysis of solids, structures, and fluids. This includes the theoretical foundations and appropriate use of finite element methods.
The methods studied in this course are practical procedures that are employed extensively in the mechanical, civil, ocean and aeronautical industries. Increasingly, the methods are used in computer-aided design.
You will find references to special topics in the textbook.
Bathe, K. J. Finite Element Procedures. 2nd ed. Klaus-Jurgen Bathe, 2014. ISBN: 9780979004957.
The student's course grade will be based on:
The reading assignments will be given in the lectures and will refer to the textbook Finite Element Procedures. We will discuss specific material in chapters 1, 3, 4, 5, 6, 7, and 8.
Kojic, M., and K. J. Bathe. Inelastic Analysis of Solids and Structures. Berlin, Germany: Springer-Verlag, 2004. ISBN: 9783540227939.
Chapelle, D., and K. J. Bathe. The Finite Element Analysis of Shells – Fundamentals. Berlin, Germany: Springer, 2003. ISBN: 9783540413394.
Bathe, K. J. "The Finite Element Method." pp. 1253-1264 in Wiley Encyclopedia of Computer Science and Engineering. Edited by Benjamin W. Wah. Hoboken, NJ: Wiley-Interscience, 2009. ISBN: 9780471383932.
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. Please see this page for a list of alternative finite element analysis packages.
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 2.094, they can serve as a useful complement to the materials presented here.
You may also be interested in the course 2.092/2.093 Finite Element Analysis of Solids and Fluids I.
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Finite element analysis of solids and fluids ii