Biomechanics Simulation

Code:

EBE0178

Acronym:

SIMB

Keywords
Classification	Keyword
OFICIAL	Biomedical Engineering

Instance: 2010/2011 - 1S

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
MIB	16	Syllabus	5	-	5	42	135
PRODEB	0	Syllabus	1	-	5	42	135

Teaching language

Suitable for English-speaking students

Objectives

Specific goals:

Knowledge and analysis of biomechanical models based on the Finite Element Method (FEM).

At the end of the semester is to be expected that the students

1. Know the basic principles of FEM
2. Are enable to establish, by numerical integration, the stifness matrix and the load vector of a finite element to be applied in linear elastic structure; and based on the displacement field, to calculate the deformation and stress state fields in the interior of a finite element.
3. Are enable to analyse a biomechanical system, doing its discritization, imposing the boundary conditions and mechanical proporties, for specific mechanical loads by using FEM software.

Program

Review of the basic fundamentals od solid mechanics (stress state, deformation state, constitutive laws).
The Finite Element Method: Generalities. Discrete and continum problems. Needs for discritization. 2D analysis for linear elastic problems by using FEM.
Equilibrium for 2D domain. Using of triangular elements of 3 nodes. Displacements field. Stress field. System of nodal forces. Equilibrium of a finite element. Equilibrium of a system. Interpolation functions and shape functions. [B] strain matrix. [D] elasticity matrix. Stifness matrix [K]. Load vector. Shape functions. Establishement of usual shape functions for 1D, quadrilateral and triangular 2D elements and 3D hexaedric elements. Isoparametric elements. Integration by using the Gauss rule method. Formulations of some finite elements for linear elastics problems.
Pratical application of FEM to a 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 a computer class room).

Software

ABAQUS
ANSYS Academic Teaching Intro

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	39,00
	Total:	-	0,00

Eligibility for exams

The students need to do a pratical work.

Calculation formula of final grade

50% work + 50% examination