| Code |
16161
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| Year |
3
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| Semester |
S2
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| ECTS Credits |
6
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| Workload |
TP(60H)
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| Scientific area |
MECÂNICA COMPUTACIONAL
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Entry requirements |
N.A.
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Learning outcomes |
In this curricular unit, students are expected to understand the possibilities and limitations of computational simulations in engineering design. By the end of the course, students should be able to perform structural analysis of isolated 3D objects as well as functional assemblies of objects subjected to mechanical and thermal loads, and be capable of critically evaluating simulation results. Students should also be able to select the appropriate element types, determine the average mesh size for finite element models, and refine the mesh without making the computational model excessively heavy. To achieve this, in addition to practicing specific cases during class sessions, students are expected to understand the underlying calculation theory that supports FEM software.
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Syllabus |
1 - Introduction to the Finite Element Method: introduction to variational calculus (functionals); approximate methods (Rayleigh–Ritz and Galerkin).
2 - Formulation of 1D Problems: discrete elastic systems; variational formulation; one-dimensional finite elements (truss, beam, and planar frame); assembly of the stiffness matrix; boundary conditions; coordinate transformation.
3 - Formulation of 2D and 3D Problems: plane stress and plane strain; two-dimensional finite elements (triangular and rectangular); three-dimensional finite elements (tetrahedral and hexahedral).
4 - Isoparametric Finite Elements: quadrilateral element; function integration (Gauss–Legendre quadrature).
5 - Case Studies: numerical simulations using commercial finite element analysis software.
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Main Bibliography |
[1] Dutra, T. A. (2026). Digital lecture notes. Covilhã: UBI.
[2] Zienkiewicz, O. C., Taylor, R. L., Govindjee, S. (2024). The Finite Element Method: Its Basis and Fundamentals. The Netherlands: Butterworth-Heinemann.
[3] Reddy, J. N. (2018). Introduction to the Finite Element Method 4E. USA: McGraw Hill LLC.
[4] Hughes, T. J. R. (2012). The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. USA: Dover Publications.
[5] Bismarck-Nasr, M. N. (1993). Finite Elements in Applied Mechanics. São Paulo: Abaeté.
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Language |
Portuguese. Tutorial support is available in English.
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