Geodesic
On Ishlinskij's model for non-perfectly elastic bodies
Applications of Mathematics, Tome 33 (1988) no. 2, pp. 133-144.

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The main goal of the paper is to formulate some new properties of the Ishlinskii hysteresis operator $F$, which characterizes e.g. the relation between the deformation and the stress in a non-perfectly elastic (elastico-plastic) material. We introduce two energy functionals and derive the energy inequalities. As an example we investigate the equation $u'' + F(u)=0$ describing the motion of a mass point at the extremity of an elastico-plastic spring.
DOI : 10.21136/AM.1988.104294
Classification : 34A10, 34G20, 34K15, 34K25, 34K99, 46E35, 47H99, 73C50, 73E99, 74B99, 74S30
Keywords: damped vibrations; asymptotic behaviour; oscillatory properties; hysteresis scheme; Ishlinskij operator; potential energies; energy inequalities; dynamic behavior; non-perfect elasticity 
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     title = {On {Ishlinskij's} model for non-perfectly elastic bodies},
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Krejčí, Pavel. On Ishlinskij's model for non-perfectly elastic bodies. Applications of Mathematics, Tome 33 (1988) no. 2, pp. 133-144. doi : 10.21136/AM.1988.104294. http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104294/

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