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SUMMARY:Level-set topology optimization for robust design of structures un
 der internal porosity constraints - Jesus Martinez-Frutos (Universidad Pol
 itécnica de Cartagena)
DTSTART:20190612T090000Z
DTEND:20190612T100000Z
UID:TALK125866@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Porosity is a well-known phenomenon occurring during various m
 anufacturing processes (casting\, welding\, additive manufacturing) of sol
 id structures\, which undermines their reliability and mechanical performa
 nce.  The main purpose of this talk is to introduce a new constraint funct
 ional of the domain which controls the negative impact of porosity on elas
 tic structures in the framework of shape and topology optimization. The ma
 in ingredient of our modeling is the notion of topological derivative\, wh
 ich is used in a slightly unusual way: instead of being an indicator of wh
 ere to nucleate holes in the course of the optimization process\, it is a 
 component of a new constraint functional which assesses the influence of p
 ores on the mechanical performance of structures. The shape derivative of 
 this constraint is calculated and incorporated into a level set based shap
 e optimization algorithm. This approach will be illustrated by several two
 - and three-dimensional numerical experiments of topology optimization pro
 blems constrained by a control on the porosity effect. These works have be
 en conducted together with Gr&eacute\;goire Allaire\, Charles Dapogny and 
 Francisco Periago.
LOCATION:Seminar Room 1\, Newton Institute
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