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SUMMARY:Fracture mechanics with Steigmann-Ogden surface energy - Anna Zeml
 yanova (Kansas State University)
DTSTART:20191212T143000Z
DTEND:20191212T150000Z
UID:TALK135619@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:It is known that surface energy plays an increasingly importan
 t role in modeling of objects at nano-scales. In this talk\,  surface ener
 gy model proposed by Steigmann and Ogden will be applied to fracture probl
 ems in two-dimensional setting. Introduction of surface energy leads to no
 n-classical boundary conditions incorporating both stresses and derivative
 s of displacements. The mechanical problem will be reduced to systems of s
 ingular integro-differential equations which are further reduced to system
 s of weakly-singular equations. The existence and uniqueness of the soluti
 on will be discussed. It is shown that taking into account surface mechani
 cs leads to the size-dependent solutions. A numerical scheme of the soluti
 on of the systems of singular integro-differential equations based on B-sp
 lines is suggested\, and the numerical results are presented for different
  values of the mechanical and the geometric parameters.
LOCATION:Seminar Room 1\, Newton Institute
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