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Properties and simplifications of constitutive time-discretized elastoplastic operators
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SYSNO ASEP 0399485 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Properties and simplifications of constitutive time-discretized elastoplastic operators Tvůrce(i) Sysala, Stanislav (UGN-S) RID, ORCID Celkový počet autorů 1 Zdroj.dok. ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. - : Wiley - ISSN 0044-2267
Roč. 94, č. 3 (2014), s. 233-255Poč.str. 23 s. Forma vydání Online - E Jazyk dok. eng - angličtina Země vyd. DE - Německo Klíč. slova elastoplasticity ; convex analysis ; projection, semismoothness Vědní obor RIV BA - Obecná matematika CEP ED1.1.00/02.0070 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy Institucionální podpora UGN-S - RVO:68145535 UT WOS 000332331200003 DOI 10.1002/zamm.201200056 Anotace 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. Pracoviště Ústav geoniky Kontakt Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Rok sběru 2015 Elektronická adresa http://onlinelibrary.wiley.com/doi/10.1002/zamm.201200056/pdf
Počet záznamů: 1