BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:A problem for a material surface attached to the b
oundary of an elastic semi-plane - Anna Zemlyanova
(Kansas State University)
DTSTART;TZID=Europe/London:20230727T113000
DTEND;TZID=Europe/London:20230727T123000
UID:TALK202807AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/202807
DESCRIPTION:A problem for a nano-sized material surface attach
ed to the boundary of an elastic isotropic semi-pl
ane is considered. A normal external traction is a
pplied to a boundary of the material surface. The
material surface is modeled using the Steigmann-Og
den form of surface energy. The problem is solved
by using integral representations of stresses and
displacements through certain unknown functions. W
ith the help of these functions\, the problem can
be reduced to either a system of two singular inte
gral equations or a single singular integral equat
ion. 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 the system of singular
integral equations is obtained by expanding each u
nknown function into a series based on Chebyshev p
olynomials. Then the approximations of the unknown
functions can be obtained from a system of linear
algebraic equations. Accuracy of the numerical pr
ocedure is studied. Various numerical examples for
different values of the surface energy parameters
are considered. It is shown that both the surface
parameters and the type of tip conditions have si
gnificant influence on the behavior of the materia
l system.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
END:VEVENT
END:VCALENDAR