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SUMMARY:Martin Doskar (Czech Technical University)
DTSTART:20201019T134000Z
DTEND:20201019T151000Z
DTSTAMP:20260405T174410Z
UID:NSCM/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/2/">Mic
 romorphic model for mechanical metamaterials</a>\nby Martin Doskar (Czech 
 Technical University) as part of Nečas Seminar on Continuum Mechanics\n\n
 \nAbstract\nMetamaterials\, with their internal composition carefully desi
 gned to feature exotic and often counterintuitive properties such as cloak
 ing or band gaps\, are the prime example of a pronounced influence of mate
 rial’s microstructure on its macroscopic response. Regarding mechanical 
 responses\, metamaterials have already delivered high stiffness-to-weight 
 ratio\, negative compressibility\, and tunable auxetic behaviour. These me
 chanical metamaterials often rely on internal instability mechanisms that 
 trigger transformation of their periodic microstructure into predefined pa
 tterns\, which introduces strong kinematic coupling among adjacent periodi
 c metamaterial cells and leads to significant size and boundary effects. A
 s a result\, the standard first-order computational homogenization fails t
 o provide an effective model of such metamaterials.\n\nThis talk presents 
 a micromorphic computational homogenization scheme that has been recently 
 developed specifically for the instability-driven mechanical metamaterials
 . The scheme introduces characteristic deformation patterns at microscale\
 , whose magnitudes are communicated across adjacent macroscopic material p
 oints by scalar modulation fields\, which are added to the standard contin
 uum formulation at the macroscale and for which an additional micromorphic
 -like conservation law emerges at macroscale. Consequently\, the presented
  scheme captures the above-mentioned size effect and boundary layers and a
 ccounts for with spatial mixing of multiple patterns. Combined with the bi
 furcation analysis\, the scheme also correctly predicts local to global (i
 .e. micro vs. macro) buckling transitions.\n
LOCATION:https://researchseminars.org/talk/NSCM/2/
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