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- W2014283492 abstract "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 isnot 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." @default.
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- W2014283492 date "1974-01-01" @default.
- W2014283492 modified "2023-10-16" @default.
- W2014283492 title "Existence of Solutions of Plane Traction Problems for Ideal Composites" @default.
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- W2014283492 doi "https://doi.org/10.1137/0126018" @default.
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