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# GEOMETRY QUARTER 4 BENCHMARK REVIEW

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Isogeometric analysis: CAD, finite elements, NURBS, exact
Oct 01, 2005The exact solution [41, pp. 120–123], evaluated at the boundary of the finite quarter plate, is applied as a Neumann boundary condition and is given here for reference: (15) σ rr (r, θ) = T x 2 1-R 2 r 2 + T x 2 1-4 R 2 r 2 + 3 R 4 r 4 cos 2 θ, (16) σ θ θ (r, θ) = T x 2 1 + R 2 r 2-T x 2 1 + 3 R 4 r 4 cos 2 θ, (17) σ r θ (r, θ) =-T