URI | http://purl.tuc.gr/dl/dias/5DAF2E10-C318-4E4D-8095-6F0EA4A26651 | - |
Αναγνωριστικό | https://doi.org/10.1007/BF01176649 | - |
Γλώσσα | en | - |
Μέγεθος | 23 pages | en |
Τίτλος | New types of variational principles based on the notion of quasidifferentiability | en |
Δημιουργός | Stavroulakis Georgios | en |
Δημιουργός | Σταυρουλακης Γεωργιος | el |
Δημιουργός | Panagiotopoulos, P. D., 1950- | en |
Εκδότης | Springer Verlag | en |
Περίληψη | In this paper several new types of variational principles are derived by using the new mathematical notion of quasidifferentiability. As a model problem we consider the static analysis problem of deformable bodies subjected to nonmonotone boundary and interface conditions. The nonmonotone laws are produced from appropriately defined nonsmooth and, nonconvex, quasidifferentiable superpotentials by means of the quasidifferential operator in the sense of V. F. Dem'yanov. The static analysis problem is formulated as a system of variational inequalities which is equivalent, minmax formulation, or equivalently as a multivalued quasidifferential inclusion problem which describes the positions(s) of static equilibrium of the body. The theory is illustrated by numerical examples concerning the calculation of adhesive joints. | en |
Τύπος | Peer-Reviewed Journal Publication | en |
Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
Ημερομηνία | 2015-10-11 | - |
Ημερομηνία Δημοσίευσης | 1992 | - |
Θεματική Κατηγορία | --Cases, clinical reports, statistics | en |
Θεματική Κατηγορία | --Statistical data | en |
Θεματική Κατηγορία | statistics | en |
Θεματική Κατηγορία | cases clinical reports statistics | en |
Θεματική Κατηγορία | statistical data | en |
Βιβλιογραφική Αναφορά | P. D. Panagiotopoulos, G. E. Stavroulakis," New types of variational principles based on the notion of quasidifferentiability," Acta Mech.
vol. 94, no. 3, pp. 171-194 ,1992.doi:10.1007/BF01176649 | en |