Viscoelastic Analysis of Irradiated Graphite With Variable Creep Coefficient. Page: 17 of 40
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8
k2 = -0.5(E - K + 1-5A ) - 0.5 I(E - K + 1.5A0)2 - 4E - K - A . (30)
Both k and k2 are seen to be negative. For prescribed boundary traction,
the boundary conditions are
_ 0Tx ds (31)
and
a =-fC T ds , (32)
where T and T are the x and y components of the boundary traction
acting on the boundary, C, of the cross section of the body.
If the temperature-dependent neutron-induced dimensional change
is given by5
*(D,T) = A2(T) D2 + A (T) D , (33)
then the right-hand side of Eq. (26) reduces to
r D
1- j Go(D) cz7fT+ 72A2(T) J Go(D - D') "2D' dD'
+ 72A1(T) j G(D - D') dD()
0
where the temperature distribution is assumed to be applied suddenly at
D = 0 and to be kept constant for D > 0. The left-hand side of Eq. (26)
is seen to be the same as that used in the elastic problem with nonuniform
elastic modulus. The solution to the present problem can therefore be
expressed by
3P. R. Kasten at . "Graphite Behavior n Its Effec s n MSBR Perfor-
mance," Nuclear engineering and Design 9(2), 157-195 199).
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Chang, S. J.; Carpenter, J. A. & Altom, D. W. Viscoelastic Analysis of Irradiated Graphite With Variable Creep Coefficient., report, January 1, 1971; Tennessee. (https://digital.library.unt.edu/ark:/67531/metadc865719/m1/17/: accessed April 24, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.