On Ishlinskij's model for non-perfectly elastic bodies
Krejčí, Pavel
Applications of Mathematics, Tome 33 (1988), p. 133-144 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1988-01-01
Classification:  34A10,  34G20,  34K15,  34K25,  34K99,  46E35,  47H99,  73C50,  73E99,  74B99,  74S30 
@article{104294,
     author = {Pavel Krej\v c\'\i },
     title = {On Ishlinskij's model for non-perfectly elastic bodies},
     journal = {Applications of Mathematics},
     volume = {33},
     year = {1988},
     pages = {133-144},
     zbl = {0653.73013},
     mrnumber = {0940712},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104294}
}

Krejčí, Pavel. On Ishlinskij's model for non-perfectly elastic bodies. Applications of Mathematics, Tome 33 (1988) pp. 133-144. http://gdmltest.u-ga.fr/item/104294/

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