Summary
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.
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References
Bell,J.F.: The Experimental Foundations of Solid Mechanics. Encyclopedia of Physics Vol.VIa/1 (ed.C.Truesdell). Berlin, Heidelberg: Springer-Verlag (1973).
Rockafellar,R.T.: Convex Analysis. Princeton Univ.Press. Princeton, New Jersey (1970).
Moreau,J.J.: La notion de sur-potentiel et les liaisons unilatérales en élastostatique.C.R.Acad.Sc.267A.Paris (1968) 954–957.
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).
Clarke,F.H.: Generalized gradients and applications. Trans. Amer. Math.Soc. 205 (1975) 247–262.
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).
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© 1981 Springer-Verlag, Berlin, Heidelberg
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Panagiotopoulos, P.D. (1981). Dynamic Analysis of Structural Problems with Strong Physical Non-Linearities Described by Superpotentials. In: Hult, J., Lemaitre, J. (eds) Physical Non-Linearities in Structural Analysis. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81582-9_28
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DOI: https://doi.org/10.1007/978-3-642-81582-9_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81584-3
Online ISBN: 978-3-642-81582-9
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