A three day course in The Extended Finite Element Method

A new approach for numerical analysis in mechanics

 

To promote a new method of numerical analysis in mechanics for executives and research staff.

 

 A theoretical part presents the X-FEM method and its applications. A time is set aside to allow each student to practice by himself with Matlab to try out the method and its applications. A round table discussion closes the course.

 

Target audience

This course will be of interest mainly to those in aeronautics, automotive industry, transport, mechanical and nuclear industries. A background in engineering or applied sciences and some previous exposure to finite element methods are necessary for understanding the material covered in this course.

 

Introductory talk

The talk will be on Generic Libraries to support FEM applications. See abstract link below.

Abstract-1.pdf

Registration and Contact details

To register please click here to complete the on-line form.

 

 

Stephane Bordas   EPFL ENAC IS LSC     Station 18,   CH-1015 Lausanne   Tel: +41 21 693 2403   stephane.bordas@epfl.ch

Programme

 

Introduction

• Description of the problems where X-FEM is useful
• Basic ideas
• Comparison with other methods

Level-set concept

• Definition and properties
• Signed distance
• Discretization

Basics of X-FEM

• Partition of unity
• Enrichment
• Discretization
• Numerical integration

Advanced Concepts of X-FEM

• Blending elements
• Cracks propagation

C++ object-oriented programming of X-FEM

• Presentation of a new programming environment
• Delaunay triangulation
• Mesh adaptivity

Presentation of different applications

• Solid-solid interface: cracks, bimaterial problems
• Fluid-solid interface: fluid-structure interaction
• Fluid-fluid interface: solidification problems, two-phase flow problems, bio-films
• Industrial applications

Practical session

Students will implement by themselves the method in Matlab

Round table

The moderator will be Assistant Professor Anthony Gravouil from the Institut National des Sciences Appliquées de Lyon (INSA)

A test can be taken by those participants who wish to credit the course towards study at their home university. The test will  be oral, and will take place either Friday afternoon, Saturday morning or during the following week, depending on the number of participants who wish to take the test and their location.

 

Lecturers

Stéphane Bordas - Research Fellow-EPFL, Lausanne

Stéphane Bordas received his Ph.D.from Northwestern University in the field of Theoretical and Applied Mechanics in 2003,under the supervision of Brian Moran. His Ph.D. thesis concentrated on the application of X-FEM and level sets  to industrial fracture mechanics problems. He participated in the creation and implementation of a new design technique for aerospace castings and worked with the FAA, Boeing,and Vought Aerospace. In parallel, Stéphane applied the X-FEM /level set technologies to the simulation of biofilm growth, a complex free-boundary problem. Since September 2003, Dr Bordas has been working at the Laboratory of Structural and Continuum Mechanics at EPFL with  Dr Thomas Zimmermann. His work concentrates on meshless methods applied to materially non-linear solid mechanics.

Antoine Legay - Assistant Professor-CNAM - Conservatoire National des Arts et Métiers, Paris, France

Antoine Legay received his Ph.D from the "Ecole Normale Supérieure de Cachan" (LMT), Paris, France in 2002 under the supervision of Professor Alain Combescure, on the subject of reliability analysis. He then moved to the USA and worked with Ted Belytschko at Northwestern University on X-FEM applications to fluid stucture interaction and extensions of X-FEM  to spectral elements. In 2003, Dr Legay became an assistant professor at the "Conservatoire National des Arts et Métiers (CNAM) " with Roger Ohayon, where he pursues research on theoretical and practical issues pertaining to X-FEM and teaches the finite element method, the X-FEM as well as solid mechanics.