A biarc-based shape optimization approach to reduce stress concentration effects

2014 ◽  
Vol 30 (3) ◽  
pp. 370-382 ◽  
Author(s):  
Liang Meng ◽  
Wei-Hong Zhang ◽  
Ji-Hong Zhu ◽  
Liang Xia
2016 ◽  
Vol 84 ◽  
pp. 72-85 ◽  
Author(s):  
Jaime Tupiassú Pinho de Castro ◽  
Daniel de Albuquerque Simões ◽  
Ivan Fabio Mota de Menezes ◽  
Marco Antonio Meggiolaro ◽  
Luiz Fernando Martha

Author(s):  
Antoine Laurain ◽  
Houcine Meftahi

AbstractIn this paper we consider the inverse problem of simultaneously reconstructing the interface where the jump of the conductivity occurs and the Robin parameter for a transmission problem with piecewise constant conductivity and Robin-type transmission conditions on the interface. We propose a reconstruction method based on a shape optimization approach and compare the results obtained using two different types of shape functionals. The reformulation of the shape optimization problem as a suitable saddle point problem allows us to obtain the optimality conditions by using differentiability properties of the min-sup combined with a function space parameterization technique. The reconstruction is then performed by means of an iterative algorithm based on a conjugate shape gradient method combined with a level set approach. To conclude we give and discuss several numerical examples.


BioResources ◽  
2012 ◽  
Vol 7 (2) ◽  
Author(s):  
Jean Deteix ◽  
George Djoumna ◽  
Pierre Blanchet ◽  
André Fortin ◽  
Alain Cloutier

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