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Biomechanics Simulation

Code: EBE0178     Acronym: SIMB

Classification Keyword
OFICIAL Biomedical Engineering

Instance: 2016/2017 - 1S Ícone do Moodle

Active? Yes
Responsible unit: Applied Mechanics Section
Course/CS Responsible: Master in Bioengineering

Cycles of Study/Courses

Acronym No. of Students Study Plan Curricular Years Credits UCN Credits ECTS Contact hours Total Time
MEB 16 Syllabus 1 - 6 56 162
MIB 18 Syllabus 5 - 6 56 162

Teaching Staff - Responsibilities

Teacher Responsibility
Renato Manuel Natal Jorge

Teaching - Hours

Recitations: 3,00
Laboratory Practice: 1,00
Type Teacher Classes Hour
Recitations Totals 1 3,00
Renato Manuel Natal Jorge 1,00
Jorge Américo Oliveira Pinto Belinha 2,00
Laboratory Practice Totals 2 2,00
Jorge Américo Oliveira Pinto Belinha 2,00

Teaching language

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.

Working 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.

Mandatory literature

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

Complementary Bibliography

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

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation Weight (%)
Exame 60,00
Participação presencial 0,00
Trabalho escrito 40,00
Total: 100,00

Eligibility for exams

The students need to do a pratical work.

Calculation formula of final grade

40% work + 60% examination
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