| Available positions:
Post-doctoral
position at the Ecole Polytechnique, Palaiseau, France
The proposed research topic is related to the numerical simulation
of damage in brittle materials. The idea is to investigate a new
algorithm based on a combination of the level set method and of
the topological gradient method. The latter one is used to nucleate
damaged zones in the material while the former one propagates
the interface between the healthy and damaged zones. The damage
model will be inspired from the work of Francfort and Marigo,
Stable damage evolution in a brittle continuous medium,
Eur. J. Mech. A/Solids 12, pp.149-189 (1993). The coupling of
a level set algorithm with topological gradient is based on
the work of Allaire, de Gournay, Jouve and Toader,
Structural optimization using topological and shape sensitivity
via a level set method, Control and Cybernetics 34, pp.59-80 (2005).
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Electron
Microscopy for Materials Science, University of
Antwerp, Belgium (
Coordinator
) |
Max
Planck Institute for Mathematics in the Sciences,
Leipzig, Germany |
Mathematical
Institute, University of Oxford, UK |
Department
of Mathematical Methods and Models for Scientific
Applications, University of Padova, Italy |
Centre
of Applied Mathematics, Ecole Polytechnique, Paris,
France |
Department
of Earth Sciences, University of Cambridge, UK
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Structure
and Constituents of Matter, University of Barcelona,
Spain |
Laboratory
of Microstructures, ONERA, Châtillon, France
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Institute
for Applied Mathematics, Mathematical Methods in
Physics, Rheinische Friedrich-Wilhelms-University,
Bonn, Germany |
Institute
of Physics, Academy of Sciences,
Prague, Czech Republic
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Department
of Physics and Astronomy, University of Glasgow,
UK |
Aerospace
Engineering and Mechanics, University of Minneapolis,
USA |
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