Coupling boundary integral and finite element formulations for nonlinear halfspace problems
Conference
·
OSTI ID:6208675
In finite element applications involving static or quasistatic nonlinear inelastic response in unbounded regions, there is the question of how to truncate the region to be modeled and how to select appropriate boundary conditions to be imposed on the remote boundary. Typically such problems are modeled by placing the exterior boundary ''far enough away'' so that the effect of fixing the boundary does not significantly alter the stress and deformation in areas of interest. There are two drawbacks to this approach. First, there is always some effect no matter how far away the boundary is placed, which makes it difficult for the analyst to judge precisely how much effect his choice of the location of the boundary is having on the solution. The second and perhaps more important drawback is that the boundary must be placed so far away from regions of interest that an unnecessarily large number of elements must be used, which increases the computational cost of the analysis. A promising alternative is to use an exterior boundary integral representation to calculate a ''boundary stiffness'' for the exterior region which can then be coupled to the finite element formulation in the interior region. This boundary stiffness scheme has been implemented in two explicit finite element codes which are widely used at Sandia for plane and axisymmetric quasistatic finite element analyses: JAC which uses a conjugate gradient method in the iterative solution of the finite element equations, and SANCHO which relies on dynamic relaxation. In this report the boundary integral application is applied to halfspace problems and its numerical implementation is described.
- Research Organization:
- Texas Univ., Austin (USA); Sandia National Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 6208675
- Report Number(s):
- SAND-87-1114C; CONF-8704141-1; ON: DE87010735
- Country of Publication:
- United States
- Language:
- English
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