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UID:2c8d271b6edf3c46613a29863ad907f0
CATEGORIES:Colloquia
CREATED:20211118T134804
SUMMARY:Mechanical Metamaterials
LOCATION:Zoom
DESCRIPTION:Abstract:  Mechanism-based mechanical metamaterials are designer materials 
 that experience microscale buckling in response to mechanical deformation. 
 A rapidly-growing literature is emerging concerning the design and use of s
 uch materials. Their analysis challenges our understanding of the relations
 hip between microscopic and macroscopic behavior in geometrically nonlinear
  mechanical systems. After a brief introduction to the area, this talk will
  focus especially on a particular example: the Kagome metamaterial. A key i
 ssue is whether its macroscopic behavior is adequately modeled by elastic e
 nergy minimization (even though its energy landscape is very nonconvex, wit
 h many local minima). I?ll discuss theoretical work with Xuenan Li, which h
 as determined the consequences of this model; and I?ll discuss ongoing nume
 rical work with Katia Bertoldi, Bolei Deng, and Xuenan Li, which is explori
 ng the adequacy of the model.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract:&nbsp; Mechanism-based mechanical metamaterials are designer ma
 terials that&nbsp;experience microscale buckling in response to mechanical 
 deformation.&nbsp;A rapidly-growing literature is emerging concerning the d
 esign and&nbsp;use of such materials. Their analysis challenges our underst
 anding of&nbsp;the relationship between microscopic and macroscopic behavio
 r in&nbsp;geometrically nonlinear mechanical systems. After a brief introdu
 ction&nbsp;to the area, this talk will focus especially on a particular exa
 mple:&nbsp;the Kagome metamaterial. A key issue is whether its macroscopic 
 behavior&nbsp;is adequately modeled by elastic energy minimization (even th
 ough its&nbsp;energy landscape is very nonconvex, with many local minima). 
 I?ll&nbsp;discuss theoretical work with Xuenan Li, which has determined the
 &nbsp;consequences of this model; and I?ll discuss ongoing numerical work&n
 bsp;with Katia Bertoldi, Bolei Deng, and Xuenan Li, which is exploring&nbsp
 ;the adequacy of the model.</p>
CONTACT:Robert V. Kohn (Courant Institute, NYU)
DTSTAMP:20260828T092717
DTSTART;TZID=America/New_York:20211201T153000
DTEND;TZID=America/New_York:20211201T163000
SEQUENCE:0
TRANSP:OPAQUE
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