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Properties and simplifications of constitutive time-discretized elastoplastic operators
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SYSNO ASEP 0399485 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Properties and simplifications of constitutive time-discretized elastoplastic operators Author(s) Sysala, Stanislav (UGN-S) RID, ORCID Number of authors 1 Source Title ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. - : Wiley - ISSN 0044-2267
Roč. 94, č. 3 (2014), s. 233-255Number of pages 23 s. Publication form Online - E Language eng - English Country DE - Germany Keywords elastoplasticity ; convex analysis ; projection, semismoothness Subject RIV BA - General Mathematics R&D Projects ED1.1.00/02.0070 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support UGN-S - RVO:68145535 UT WOS 000332331200003 DOI 10.1002/zamm.201200056 Annotation In the paper, a general constitutive elastoplastic model for associated plasticity is investigated. The model is based on the thermodynamical framework with internal variables and can include basic plastic criteria with a combination of kine- matic hardening and non-linear isotropic h ardening. The corresponding initial val ue constitutive elastoplastic problem is discretized by the implicit Euler method. The discretized one-time-step constitutive pr oblem defines the elastoplastic operator, which is formulated by a simple generalization of a projection onto a convex set. Properties of the so-called generalized projection are used for deriving basic propertie s of the elastoplastic operator like potentiality, monotonicity, Lipschitz continuity and local semismoothness. Further, hardening variables are eliminated from the projective definition of the elastoplastic operators, which yields relations among the models with hardening variables and the perfect plasticity model. Also a simplification of the operator for plastic criteria in eigenvalue forms is introduced. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2015 Electronic address http://onlinelibrary.wiley.com/doi/10.1002/zamm.201200056/pdf
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