ON SOLVABILITY OF BOUNDARY-VALUE-PROBLEMS IN ELASTOPLASTICITY

Authors
KHLUDNEV AM SOKOLOWSKI J
Citation
Am. Khludnev et J. Sokolowski, ON SOLVABILITY OF BOUNDARY-VALUE-PROBLEMS IN ELASTOPLASTICITY, Control and Cybernetics, 27(2), 1998, pp. 311-330
Citations number
24
Categorie Soggetti
Computer Science Cybernetics","Robotics & Automatic Control","Computer Science Cybernetics","Robotics & Automatic Control
Journal title
Control and Cybernetics → ACNP
ISSN journal
03248569
Volume
27
Issue
2
Year of publication
1998
Pages
311 - 330
Database
ISI
SICI code
0324-8569(1998)27:2<311:OSOBIE>2.0.ZU;2-B
Abstract
In the paper the existence of a solution to the three-dimensional elas toplastic problem with the Prandtl-Reuss constitutive law and the Neum ann boundary conditions is established. The proof is based on a suitab le combination of the parabolic regularization of equations and the pe nalty method for the elastoplastic yield condition. The method is appl ied in the case of the domain with smooth boundary as well as in the c ase of an interior crack. It is shown that the weak solutions to the e lastoplastic problem satisfying the variational inequality meet all bo undary conditions.