| CODE | MAT3713 | ||||||||
| TITLE | The Finite Element Method | ||||||||
| UM LEVEL | 03 - Years 2, 3, 4 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | 6 | ||||||||
| ECTS CREDITS | 5 | ||||||||
| DEPARTMENT | Mathematics | ||||||||
| DESCRIPTION | - Approximate solution of boundary value problems: - Variational methods, - Weighted residual methods; - Variational methods: - The Rayleigh-Ritz method, - Minimisation of the energy functional, - Application to bars and beams, - Discretisation of region, - The piecewise Rayleigh-Ritz method, - One dimensional elements, - The element shape functions, - The linear bar element, - The cubic beam element, - Element stiffness and consistent loading, - Assembly and solution of stiffness equations, - Estimate of accuracy of approximate solution; - Weighted residual methods: - The Galerkin method, - The one-dimensional Poisson equation: - Dirichlet, derivative or mixed boundary conditions, - Solution with linear or quadratic elements; - The two-dimensional Poisson equation: - Solution with linear triangular elements; - Applications of above: - Axial extension and vibration of bars, - Bending of beams, - Torsion, - Heat Transfer, - Groundwater flow. Main Text - Lewis P.E. and Ward J.P., The Finite Element Method, Principles and Applications, Addison-Wesley, New York, 1991. Supplementary Reading - Dawe D.J., Matrix and Finite Element Displacement Analysis of Structures, Clarendon Press, Oxford,1984. - Segerlind L.J. Applied Finite Element Analysis, John Wiley, New York; 1st Edition 1976, 2nd Edition 1984. - Ottosen N.S. and Petersson H., Introduction to the Finite Element Method, Prentice Hall, New York,1992. - Fagan M.J., Finite Element Analysis: Theory and Practice, Longman, Singapore, 1992. |
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| ADDITIONAL NOTES | Follows from: MAT3711 Leads to: MAT5713 |
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| STUDY-UNIT TYPE | Lecture | ||||||||
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| LECTURER/S | Onur Baysal |
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