Vincent Chiaruttini Georges Cailletaud vincent fr

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Description

Vincent Chiaruttini, Georges Cailletaud Non Linear Computational Mechanics Athens MP06/2012– Introduction to Finite Element computations

• isoparametric finite elements


• fe method


• elemental computations


• continuous mechanical problem


• variational formulation


• galerkin based methods

Informations

• Publié par: pefav
• Nombre de lectures: 49
• Poids de l'ouvrage: 1 Mo

Extrait

Non Linear Computational Mechanics–Athens MP06/2012

tations

hiaruttini, Georges Cailletaud

[e-mail]

2

Outline

Continuous to discrete problem

Strong to weak formulation

Galerkin method for approximate solution computation

Isoparametric finite elements

Finite element mesh

Geometrical element

Interpolation of displacements

FE method for linear elastic problems

Variational formulation with isoparametric elements

Elemental computations

Global problem

Linear solution process

FE analysis for non linear mechanics–Athens MP06 - V.Chiaruttini

Continuous mechanical problem

Solving PDE on a given time-space domain

Studied domain

Local equations

@ f 

r¾+f= 0 "(u 1 2 )= ¡ ru+r T u ¢ ¾=K:"

Boundary conditions u=u d on@ u  ¾¢n=Fon@ f 



@ u 

Unable to get exact solution How to obtain an approximated solution?

FE analysis for non linear mechanics–Athens MP06 - V.Chiaruttini