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Vector hysteresis models. (English) Zbl 0754.73015

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.

MSC:

74A20 Theory of constitutive functions in solid mechanics
74C99 Plastic materials, materials of stress-rate and internal-variable type
74B99 Elastic materials
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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)
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