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Introduction to finite elements method

1MAG1 Introduction to finite elements method Materials and Mechanics - Apprenticeship S6
Lessons : 15 h TD : 15 h TP : 0 h Project : 0 h Total : 30 h
Co-ordinator : Gislaine Marie
Prerequisite
Tools and methods of numerical calculation for the engineer (1MAB3)
Resistance of Materials 1 (1MAC2)
Course Objectives
Obtain the basic knowledge of the finite element method.
Syllabus
Digital simulation: applications and issues
Reminder of notions:
- Tensors of stresses and deformations, equilibrium equation, laws of behavior.
Theorem of potential energy.
Finite element method:
- Principle of the finite element method (mesh, approximation, elementary calculations, assembly and resolution);
- Meshing and geometry;
- Discretization of potential energy;
Basic functions:
- Properties and determination of basic functions directly and undirectly.
- Jacobian matrix of transformation.
Practical work (TD or TP)
Tutorials :
- Bar (comparison of 3 types of modeling);
- Calculations on a stiffener;
- Calculations in a lattice.
Acquired skills
Theoretical understanding of the fundamentals behind the finite element method, in particular:
- Method and steps of resolution;
- Impact of the choice of elements on the time and the precision of calculations.
Bibliography
Non renseigné

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