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SUMMARY:Optimal design of multi-component fractured media - Marco Morandot
 ti (Politecnico di Torino)
DTSTART:20190226T154500Z
DTEND:20190226T163000Z
UID:TALK120856@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Multi-component materials are fundamental in many applications
 : the different mechanical\, physical\, and chemical properties of each co
 mponent can be exploited to design a composite with tailored properties. T
 he presence of sharp interfaces between different component leaves room fo
 r the formation of microcracks and therefore the generation of a multiscal
 e geometry of the material. In this seminar\, we will discuss an optimal d
 esign problem for two-component fractured media for which a macroscopic st
 rain is prescribed. The presence of fractures motivates setting the proble
 m in the framework of structured deformations. In this context\, we start 
 from an energy functional accounting for bulk and surface contributions co
 ming from both constituents of the material and we derive an integral repr
 esentation for the relaxed energy functional. The&nbsp\; relaxed energy de
 nsities\, obtained via a blow-up method\, are determined by a delicate int
 erplay between the optimization of sharp interfaces and the diffusion of m
 icrocracks. This model has the far-reaching perspective to incorporate ele
 ments of plasticity in optimal design of composite media.<br>These results
  have been obtained jointly with Jos&eacute\; Matias and Elvira Zappale.<b
 r>
LOCATION:Seminar Room 2\, Newton Institute
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