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UID:8ae24cca-e794-4008-885a-e589de205472@nexttoyou
DTSTAMP:20261106T170325Z
DTSTART:20261112T220000Z
DTEND:20261112T230000Z
SUMMARY:Departmental colloquium: Casey Rodriguez
LOCATION:Blocker Building\, Blocker Building
DESCRIPTION:Casey Rodriguez\, University of North Carolina\n\nScratching t
 he surface beyond classical elasticity\n\nAbstract. Classical elasticity 
 describes how solids deform under applied forces\, but it has no built-in
  material length scale. This limits its ability to capture behavior at le
 ngth scales comparable to those of a material’s internal structure. In th
 is talk\, I will focus on how such effects influence deformation near a s
 olid’s boundary and how we can incorporate them into a new mathematical t
 heory of elasticity. I will introduce models in which a solid’s boundary 
 resists stretching\, bending\, and spatial variations in stretching. I wi
 ll then explain how these models emerge from a thin three-dimensional non
 -classical elastic layer whose energy accounts for spatial variations in 
 strain. As an application\, I will consider cracks\, whose faces form par
 t of the solid’s boundary. Classical linear elasticity predicts singular 
 stresses that become infinite at a crack tip. We will see how accounting 
 for boundary elasticity can yield finite stresses\, and conclude with ope
 n mathematical questions\, including those devoted to understanding fract
 ure and predicting crack growth.\n\nhttp://next-to-u.app/events/8ae24cca-
 e794-4008-885a-e589de205472
URL:http://next-to-u.app/events/8ae24cca-e794-4008-885a-e589de205472
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