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Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/8862F8AC-D075-4447-BDF3-7A1E59367099 | ||
| Year | 1995 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | A. Rohde, G. E. Stavroulakis ,"Path-following energy optimization in unilateral contact problems,"J. of Global Optim. , vol. 6, Ino.4, pp. 347-365,Ju. 1995.doi:10.1007/BF01100083 https://doi.org/10.1007/BF01100083 | ||
| Appears in Collections |
Path-following (load incrementation) methods are studied in this paper for elastostatic analysis problems with unilateral contact relations in the framework of a large displacement theory by means of the parametric optimization techniques. Finite element discretization yields sparse polynomial optimization problems with equality and inequality constraints. For such sparse problems generically appearing singularities along the path of solutions are completely classified. Perturbations involving only a minimal number of parameters are shown to be sufficient to guarantee these generic situations. This clarifies stability and uniqueness questions for the solution along the examined path.
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