2026-06-27T11:05:57Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/648822023-08-04T02:20:52Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Pipkin, Allen C.
author
Sánchez de los Reyes, Víctor Manuel
2023-06-21T02:06:49Z
2023-06-21T02:06:49Z
1974-01
0036-1399
10.1137/0126018
https://hdl.handle.net/20.500.14352/64882
http://www.jstor.org/stable/2099667
http://www.jstor.org/
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
eng
Existence of solutions of plane traction problems for ideal composites
journal article
URL
https://docta.ucm.es/bitstreams/0ce41415-3b57-4313-9592-41d5bf98741a/download
File
MD5
466ce3743c6edb93a9cd9253c6418c88
740566
application/pdf
SanchezVictorM09.pdf
URL
https://docta.ucm.es/bitstreams/c6128118-2c8a-4b85-b809-14cf3b2e8e26/download
File
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5bdde56502f431d0b44768a4e1167fa0
23051
text/plain
SanchezVictorM09.pdf.txt