Mixed Dimensional Coupling in Finite Element Stress Analysis
Shim, Kar Wei, Dermot J. Monaghan, Cecil G. Armstrong
Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.269-277, October 7-10 2001
10th International Meshing Roundtable
Newport Beach, California, U.S.A.
October 7-10, 2001
School of Mechanical and Manufacturing Engineering,
The Queen's University of Belfast,
Ashby Building, Stranmillis Road,
Belfast, BT9 5AH, Northern Ireland.
In many finite element analysis models, there are usually regions that are ideal
candidates for dimensional reduction. In order to capture stress concentrations at
local details, it would be desirable to combine the reduced dimensional element types
with higher dimensional elements in the whole global model. Therefore, it is important
in such cases to integrate into the analyses some scheme for coupling the element types
that conforins to the governing equations of the problem. In this paper, a novel method
that can correctly couple beams to solids, beams to shells and shells to solids for
elastic problems is presented. The approach adopted is to equate the work done on either
side of the mixed dimensional interface and this leads to multi-point constraint equations,
providing compatible relationships of the nodal degrees of freedom between the differing
element types. Example results show that the proposed technique does not introduce any
spurious stresses at the dimensional interface.
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