EXISTENCE AND UNIQUENESS OF SOLUTIONS IN STRAIN SPACE OF ELASTOPLASTIC PROBLEMS WITH ISOTROPIC HARDENING

Authors
HLAVACEK I WHITEMAN JR
Citation
I. Hlavacek et Jr. Whiteman, EXISTENCE AND UNIQUENESS OF SOLUTIONS IN STRAIN SPACE OF ELASTOPLASTIC PROBLEMS WITH ISOTROPIC HARDENING, Mathematical models and methods in applied sciences, 7(1), 1997, pp. 31-48
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
7
Issue
1
Year of publication
1997
Pages
31 - 48
Database
ISI
SICI code
0218-2025(1997)7:1<31:EAUOSI>2.0.ZU;2-Q
Abstract
The flow theory of elasto-plastic bodies with isotropic strain hardeni ng is formulated in strain space by means of a time-dependent variatio nal inequality. Using concepts of subdifferential and multivalued maxi mal monotone operators, we prove the existence and uniqueness of a sol ution of the quasistatic problem in R(n), (n = 2, 3), with mixed bound ary conditions.