Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
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| URI | http://purl.tuc.gr/dl/dias/61B1F307-5206-4E55-AA3F-DF720CD76F3A | - |
| Αναγνωριστικό | https://doi.org/10.1007/BF01100082 | - |
| Γλώσσα | en | - |
| Μέγεθος | 18 pages | en |
| Τίτλος | Quasidifferentiability in nonsmooth, nonconvex mechanics | en |
| Δημιουργός | Stavroulakis Georgios | en |
| Δημιουργός | Σταυρουλακης Γεωργιος | el |
| Δημιουργός | L. N. Polyakova | en |
| Δημιουργός | Dem'yanov, Vladimir F | en |
| Εκδότης | Kluwer | en |
| Περίληψη | Nonconvex and nonsmooth optimization problems arise in advanced engineering analysis and structural analysis applications. In fact the set of inequality and complementarity relations that describe the structural analysis problem are generated as optimality conditions by the quasidifferential potential energy optimization problem. Thus new kind of variational expressions arise for these problems, which generalize the classical variational equations of smooth mechanics, the variational inequalities of convex, nonsmooth mechanics and give a solid, computationally efficient explication of hemivariational inequalities of nonconvex, nonsmooth mechanics. Moreover quasidifferential calculus and optimization software make this approach applicable for a large number of problems. The connection of quasidifferential optimization and nonsmooth, nonconvex mechanics is discussed in this paper. A number of representative examples from elastostatic analysis applications are treated in details. Numerical examples illustrate the theory. | 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 | 1995 | - |
| Θεματική Κατηγορία | Applied mechanics | en |
| Θεματική Κατηγορία | Engineering, Mechanical | en |
| Θεματική Κατηγορία | mechanics applied | en |
| Θεματική Κατηγορία | applied mechanics | en |
| Θεματική Κατηγορία | engineering mechanical | en |
| Βιβλιογραφική Αναφορά | G. E. Stavroulakis, V. F. Dem'yanov, L. N. Polyakova ,"Quasidifferentiability in nonsmooth, nonconvex mechanics," J. of Global Opt.,vol. 6, no. 4, pp. 327-345,Ju. 1995.doi:10.1007/BF01100082 | en |
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