TY - JOUR
T1 - Explicit integral solutions for the plane elastostatic semi-strip
JF - Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
SP - 1285
LP - 1309
M3 - 10.1098/rspa.2003.1206
VL - 460
IS - 2045
AU - Crowdy, D. G.
AU - Fokas, A. S.
Y1 - 2004/05/08
UR - http://rspa.royalsocietypublishing.org/content/460/2045/1285.abstract
N2 - A new method for solving the biharmonic equation in an arbitrary convex polygon with arbitrary linear boundary conditions is applied to a class of mixed boundary-value problems involving a semi-infinite strip. Emphasis is placed on boundary-value problems for which an explicit solution can be constructed. A variety of mixed boundary-value problems are shown to admit explicit solutions. This class includes, but is not limited to, the canonical problems of the elastostatic semi-strip. New integral representations of generalizations of these canonical problems are derived where the sidewall boundary conditions are inhomogeneous.
ER -