Krejčí, Pavel Vector hysteresis models. (English) Zbl 0754.73015 Eur. J. Appl. Math. 2, No. 3, 281-292 (1991). Summary: Following M. A. Krasnoselskij and V. Pokrovskij [Systems of hysteresis (Russian), Nauka, Moskva (1983)] we express the constitutive law for the Prandtl-Reuss elastoplastic model in terms of a hysteresis operator, and introduce the vector Ishlinskij model. We investigate some properties ( continuity, energy inequalities, dependence on spatial variables) of these operators. Cited in 15 Documents MSC: 74A20 Theory of constitutive functions in solid mechanics 74C99 Plastic materials, materials of stress-rate and internal-variable type 74B99 Elastic materials Keywords:Prandtl-Reuss elastoplastic model; vector Ishlinskij model; continuity; energy inequalities PDFBibTeX XMLCite \textit{P. Krejčí}, Eur. J. Appl. Math. 2, No. 3, 281--292 (1991; Zbl 0754.73015) Full Text: DOI References: [1] Visintin, Rend. Sem. Mat. Univ. Padova 77 pp 213– (1987) [2] Ne?as, Mathematical theory of elastic and elasto-plastic bodies: an introduction (1981) [3] Krej??, Appl. Math. 35 pp 60– (1990) [4] Duvaut, Les in?quations en m?canique et en physique (1972) [5] Krej??, Appl. Math. 33 pp 197– (1988) [6] Krasnoselskii, Systems with hysteresis (1983) [7] Edwards, Functional Analysis Theory and Applications (1965) [8] Krej??, Comment Math. Univ. Carolinae 30 pp 525– (1989) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.