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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:An axisymmetric problem for a nano-sized material 
 surface on a boundary of an elastic semi-space - A
 nna Zemlyanova (Kansas State University)
DTSTART;TZID=Europe/London:20240705T121500
DTEND;TZID=Europe/London:20240705T124500
UID:TALK214990AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/214990
DESCRIPTION:A problem for a nano-sized penny-shaped material s
 urface attached to the boundary of an elastic isot
 ropic semi-space is considered. An axisymmetric no
 rmal traction is applied to a material surface. Th
 e surface is modeled using the Steigmann-Ogden for
 m of surface energy. The problem is solved by usin
 g the Boussinesq potentials represented by the Han
 kel transforms of certain unknown functions. With 
 the help of these functions\, the problem can be r
 educed to a system of two singular integral equati
 ons. Two types of material surface tip boundary co
 nditions are considered: free tip conditions and c
 onditions with compensated surface prestress term.
  The numerical solution of this system is obtained
  by expanding each unknown function into a series 
 based on Chebyshev polynomials. Then the approxima
 tions of the unknown functions can be obtained fro
 m a system of linear algebraic equations. Accuracy
  of the numerical procedure is studied. Various nu
 merical examples for different values of the surfa
 ce energy parameters are considered. It is shown t
 hat both the surface parameters and the type of ti
 p conditions have significant influence on the beh
 avior of the material system.\n&nbsp\;\nThis is a 
 joint work with Lauren M. White.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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