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SUMMARY:Material instabilities and architected materials - Andrea  Piccolr
 oaz (University of Trento)
DTSTART:20230622T123000Z
DTEND:20230622T140000Z
UID:TALK201280@talks.cam.ac.uk
DESCRIPTION:The occurrence of material instabilities in continuum solids i
 s closely associated with the loss of ellipticity in the governing equatio
 ns. The stability of a material relies on the requirement that the wave sp
 eed remains a strictly positive real number for all wave directions. Failu
 re to meet this condition can lead to various types of material instabilit
 ies\, such as strain localization in the form of shear bands and dynamic i
 nstabilities like flutter instability.\nIn this seminar\, we explore mater
 ial instabilities by providing a micromechanical interpretation through th
 e homogenization of prestressed periodic beam lattices. Through homogeniza
 tion\, we can analyze the static and dynamic regimes and unravel the profo
 und connection between the microstructure and the emergence of macroscopic
  instabilities. Our approach is validated by comparing the response of the
  discrete lattice\, simulated using finite elements\, with the response of
  the equivalent continuum described by the exact Green's function.
LOCATION:Seminar Room 2\, Newton Institute
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