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A coupled boundary integral and finite element formulation for nonlinear halfspace problems

Technical Report ·
OSTI ID:6977064
In many finite element applications involving static or quasistatic nonlinear inelastic response in halfspace regions, it is generally necessary to extend the mesh well beyond the region of interest so that whatever boundary conditions are imposed do not appreciably alter the effect of the stiffness of remote portions of the body. Alternatively, the boundary can be shrunk considerably if boundary forces which reflect the response of the exterior region to boundary displacement are imposed. We use an exterior halfspace boundary integral formulation to calculate a boundary stiffness matrix, which is then coupled to the finite element equations. This method is well suited to explicit finite element schemes such as the conjugate gradient and dynamic relaxation algorithms. The method is illustrated with examples. 5 refs., 24 figs.
Research Organization:
Sandia National Labs., Albuquerque, NM (USA)
DOE Contract Number:
AC04-76DP00789
OSTI ID:
6977064
Report Number(s):
SAND-86-1902; ON: DE87003594
Country of Publication:
United States
Language:
English