Class Tuesday, 15-18, Wolfson 238
Instructor
Isaac Harari
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office: Wolfson 225, (640-)9439
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hours: Tuesday, 14-15 (or by appointment)
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e-mail:
harari AT eng.tau.ac.il
Topics
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Review of linear, static finite element analysis
Dynamics:
Formulation of linear dynamic problems
Parabolic, hyperbolic and elliptic eigenvalue problems
Time-stepping algorithms for parabolic and for hyperbolic problems
Algorithms for elliptic eigenvalue problems
Nonlinear analysis:
Elementary nonlinear problems
Solution of nonlinear algebraic equations
Finite deformation (hyper-)elasticity
Finite deformation elasto-dynamics
Iterative strategies for large-scale systems
Book
Hughes,
The
Finite Element Method, Dover, 2000
(DLEARN,
FEM_Object).
References
(
marks
Neiman Library holdings)
Bathe,
Finite
Element Procedures, Prentice-Hall, 1996.
2nd Ed.
Belytschko,
Liu,
& Moran,
Nonlinear Finite Elements for Continua and Structures, Wiley, 2000
(Chapter 6,
Errata).
Brenner
& Scott,
The Mathematical Theory of Finite Element Methods, 2nd Ed.,
Springer, 2002.
Cook,
Malkus,
Plesha,
& Witt,
Concepts and Applications of Finite Element Analysis, 4rd Ed.,
Wiley, 2002.
Crisfield,
Non-linear Finite Element Analysis of Solids and Structures,
Vol. 1: Essentials, Wiley, 1991
(Obituary:
Owen,
Wriggers).
Dennis &
Schnabel,
Numerical Methods
for Unconstrained Optimization and Nonlinear Equations, SIAM, 1996
(E-book).
Golub
& Van Loan,
Matrix Computations, 3rd Ed., Johns Hopkins, 1996
(Errata).
Johnson,
Numerical Solutions of Partial Differential
Equations by the Finite Element Method, Dover, 2008.
Luenberger,
Linear and Nonlinear Programming, Addison-Wesley, 1984.
Strang &
Fix,
An Analysis of the Finite Element Method, Prentice-Hall, 1973.
Szabó
& Babuska,
Finite Element
Analysis, Wiley, 1991.
Zienkiewicz
& Taylor,
The Finite Element
Method, Vol. 1, Butterworth-Heinemann, 2000
(FEAPpv).
Grading
-
Homework (to final) 0%
Computer assignments (required) 0%
No.
1: DLEARN examples 3, 4,
No.
2
Project (50%)
Final 100%
Online Resources
-
Approach for
Selection of Rayleigh Damping Parameters…
(Proceedings of PVP2009-77257).
Ariane 5
rocket (YouTube).
A Unified Library of
Nonlinear Solution Schemes.
(Applied Mechanics Reviews 64(4) (2011) 040803).
(NLS++).
A visual representation of
Newton's method (YouTube).
Course
mailing list
<0540-6411-01 AT listserv.tau.ac.il>.
Dynamic
FE analysis of South Memnon Colossus…
(Comput. & Structures 82 (2004) 1719).
FEniCS
(open-source computing platform).
Gershgorin Circle Theorem,
MathWorld.
Internet finite element resources.
Israel
Association for Computational Methods in Mechanics
(IACMM-L).
Matlab
Implementation of the Finite Element Method in Elasticity
(Computing 69 (2002) 239).
Numerical Computing with
MATLAB (electronic book).
Numerical recipes, on-line books and
software.
A study of
optimal membrane triangles with drilling freedoms
(CMAME 192 (2003) 2125).
Sleipner
A offshore platform sunk due to incorrect finite element analysis.
Vic
Sparrow's Acoustics and Vibration Animations.
Writing guidelines
for engineering and science students.
You
Can't Always Hear the Shape of a Drum.
Outline
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