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A new treatment of transient grain growth
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SYSNO ASEP 0463998 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název A new treatment of transient grain growth Tvůrce(i) Svoboda, Jiří (UFM-A) RID, ORCID
Fratzl, P. (DE)
Zickler, G. A. (AT)
Fischer, F. D. (AT)Celkový počet autorů 4 Zdroj.dok. Acta Materialia. - : Elsevier - ISSN 1359-6454
Roč. 115, AUG (2016), s. 442-447Poč.str. 6 s. Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova Grain size distribution ; Grain growth ; Growth kinetics ; Thermodynamic modelling ; Numerical solution of integro-differential equations Vědní obor RIV BJ - Termodynamika CEP GA15-06390S GA ČR - Grantová agentura ČR Institucionální podpora UFM-A - RVO:68081723 UT WOS 000380083400045 EID SCOPUS 84977593421 DOI 10.1016/j.actamat.2016.05.020 Anotace The grain radius R distribution ftmction f(R, t) with R-c(t) as critical grain radius is formulated, inspired by the Hillert self-similar solution concept, as product of 1/R-c(4) and of a shape function g(rho, t) as function of the dimension-free radius rho = R/R-c and time t, contrarily to the Hillert self-similar solution concept with time-independent g(rho). The evolution equations for R-c(t) as well as for g(rho, t) are derived, guaranteeing that the total volume of grains remains constant. The solution of the resulting integro-differential equations for R-c(t) and g(rho, t) is performed by standard numerical tools. Remarkable advantages of this semi-analytical concept are: (i) the concept is a deterministic one, (ii) its computational treatment is very efficient and (iii) the shape function g(rho, t) remains localized in a fixed interval of rho. The shape function g(rho, t) evolves towards the well-known Hillert self-similar distribution, which is demonstrated for two initial shape functions (one of them is triangular). Also a study on "nearly" self-similar distribution functions proposed as useful approximations of experimental data is presented. Pracoviště Ústav fyziky materiálu Kontakt Yvonna Šrámková, sramkova@ipm.cz, Tel.: 532 290 485 Rok sběru 2017
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