Instance: 2016/2017 - 1S
Cycles of Study/Courses
||No. of Students
Teaching Staff - Responsibilities
Teaching - Hours
Suitable for English-speaking students
The curricular unit Biomechanics Simulation aims to provide students with knowledge in the area of numerical methods to be applied in biomechanics and based on Finite Element Method.
It is expected that at the end of the semester, the students have acquired knowledge to use tools in order to build models (discretization, imposition of boundary conditions and material properties) and the correct interpretation of results, getting skills at the elementary level, such as the finite element formulation (establishment of the stiffness matrix, calculating the strain and the stress fields).
Learning outcomes and competences
The students should acquire skills to perform biomechanics analysis based on the finite element method.
Review of the fundamentals of solid mechanics (stress and strain states, constitutive laws).
The Finite Element Method: General. Discrete and continuous problems. Discretization needs. Analysis of two-dimensional linear elastic problems by the Finite Element Method. Equilibrium equation in 2D domain. Decomposition into triangular elements of 3 nodes. Displacement field, stress field; system of nodal forces. Interpolation functions or shape functions. Matrix of deformation [B], matrix of elasticity [D]; stiffness matrix [K]. Load vector. Presentation of the usual shape functions for elements 1D, 2D and 3D triangular and quadrangular hexahedral and tetrahedral. Isoparametric elements. Numerical integration based in the Gauss rule. Formulation of elements to linear elastic analysis. Pre and post processing: major types of mesh generation; establishing of isocurves and its interpretation.
Practical application of the method in biomechanical systems.
Jacob Fish, Ted Belytschko; A first course in finite elements
. ISBN: 978-0-470-03580-1
Cees Oomens, Marcel Brekelmans, Frank Baaijens; Biomechanics. Concepts and Computation, Cambridge University Press, 2009. ISBN: 978-0-521-87558-5
A. J. M. Ferreira; Problemas de elementos finitos em MATLAB
. ISBN: 978-972-31-1329-7
Teaching methods and learning activities
2 theoretical-pratical classes per week with 1h30min each in order to present the contents and their applications.
1 pratical class (1 hour) in a computer class room.
ANSYS Academic Teaching Intro
Distributed evaluation with final exam
Eligibility for exams
The students need to do a pratical work.
Calculation formula of final grade
40% work + 60% examination