RT Journal Article
T1 Existence of solutions of plane traction problems for ideal composites
A1 Pipkin, Allen C.
A1 Sánchez de los Reyes, Víctor Manuel
AB The theory of plane deformations of ideal fiber-reinforced composites involves hyperbolic equations, but boundary data are specified as in elliptic problems. When the surface tractions are given at every boundary point of a plane region, and thus given at two points on each characteristic, it is not obvious that the problem is well-set. We show that under the usual global equilibrium conditions on prescribed tractions, a solution does exist. This is done by reducing the problem to an integral equation whose kernel depends on the shape of the region, locating the spectrum of eigenvalues, and then invoking standard results of the Hilbert-Schmidt theory
PB Society for Industrial and Applied Mathematics
SN 0036-1399
YR 1974
FD 1974-01
LK https://hdl.handle.net/20.500.14352/64882
UL https://hdl.handle.net/20.500.14352/64882
LA eng
DS Docta Complutense
RD 7 abr 2025