Path-following energy optimization in unilateral contact problemsPath-following energy optimization in unilateral contact problems Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-10-111995enPath-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.http://creativecommons.org/licenses/by/4.0/Journal of Global Optimization46347-365 Stavroulakis Georgios Σταυρουλακης Γεωργιος Rohde, Armin, 1955- Kluwer --Cases, clinical reports, statistics --Statistical data statistics cases clinical reports statistics statistical data