Dynamic Analysis of Structural Problems with Strong Physical Non-Linearities Described by Superpotentials
The purpose of the present research is the derivation of variational inequalities, describing the dynamic behaviour of structures presenting strong physical nonlinearities and discontinuities as jumps, locking effects, etc. To treat the arising nonlinearities the notion of “superpotential” is used. The respective identification problem is also studied and some propositions are given.
Unable to display preview. Download preview PDF.
- Bell,J.F.: The Experimental Foundations of Solid Mechanics. Encyclopedia of Physics Vol.VIa/1 (ed.C.Truesdell). Berlin, Heidelberg: Springer-Verlag (1973).Google Scholar
- Rockafellar,R.T.: Convex Analysis. Princeton Univ.Press. Princeton, New Jersey (1970).Google Scholar
- Moreau,J.J.: La notion de sur-potentiel et les liaisons unilatérales en élastostatique.C.R.Acad.Sc.267A.Paris (1968) 954–957.Google Scholar
- Panagiotopoulos,P.D.: Optimal Control of Unilateral Structural Analysis Problems. Structural Control (ed.H.H.E.Leipholz ). North Holland Pub.Co. and SM Publ. (1980).Google Scholar
- Maier,G.: Future Directions in Engineering Plasticity. Engineering Plasticity by Mathematical Programming (eds. M.Z.Cohn, G. Maier ). New York, Toronto, Paris: Pergamon Press (1979).Google Scholar