Solution of problems with material nonlinearities with a coupled finite element/boundary element scheme using an iterative solver. Yucca Mountain Site Characterization Project Page: 21 of 44
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For the second problem to study the coupled scheme with problems involving nonlinear
material behavior, the preceding problem is modified so that the interface between the
elastic-plastic material and elastic material is at r =27 m. This is the only change made for
this second problem. All other geometry and material parameters used for the first coupled
problem remain the same.
The mesh used to model this second problem for the coupled scheme is shown in Figure 9.20
10
0
-10
-20x
Figure 9. Mesh for Coupled Problem with Material Interface at r = 27 m
The interior elastic-plastic material is modeled with finite elements. The elastic material is
modeled by a boundary element contour that corresponds to the outer surface of the finite
element mesh at r = 27 m. A boundary element coincides with each element edge defining
the outermost surface of the finite element mesh. The boundary element nodes correspond
to the finite element nodes. As in the previous case, no use is made of symmetry.
The radial displacement, ur, at the cavity wall (r = 10, 0 = 0) is plotted as a function of
pressure in Figure 10 for the coupled problem. The results from this coupled problem can
also be verified by use of a finite element model with a large outer radius to approximate
an infinite medium. The same finite element model of a thick-walled tube used for
verification of the previous problem is also used for verification of this coupled problem.
The finite element mesh used to verify the current problem has a material interface
embedded in the finite element mesh between the elastic-plastic and elastic material at r =
27 m. The finite results are plotted in Figure 10 as a dashed line. As can be seen in Figure
10, the coupled results agree quite well with the finite element results. At 10.0 MPa, the
coupled problem predicts a radial displacement at the cavity surface of 0.03333 m and the15
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Koteras, J.R. Solution of problems with material nonlinearities with a coupled finite element/boundary element scheme using an iterative solver. Yucca Mountain Site Characterization Project, report, January 1, 1996; Albuquerque, New Mexico. (https://digital.library.unt.edu/ark:/67531/metadc667311/m1/21/: accessed July 16, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.