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SUMMARY:Contact problems at nanoscale - Anna Zemlyanova (Kansas State Univ
 ersity)
DTSTART:20191031T133000Z
DTEND:20191031T143000Z
UID:TALK133513@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In this talk\, the surface elasticity in the form proposed by 
 Steigmann and Ogden is applied to study plane problems of frictionless or 
 adhesive contact of a rigid stamp with an elastic upper semi-plane. The re
 sults of the present work generalize the results for contact problems with
  Gurtin-Murdoch elasticity by including additional dependency on the curva
 ture of the surface. The mechanical problem is reduced to a system of sing
 ular integro-differential equations which is regularized using Fourier tra
 nsform method. The size-dependency of the solutions of the problem is high
 lighted. It is observed that the curvature-dependence of the surface energ
 y is increasingly important at small scales. The numerical results are pre
 sented for different values of the mechanical parameters.
LOCATION:Seminar Room 1\, Newton Institute
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