On Ishlinskij's model for non-perfectly elastic bodies

Krejčí, Pavel. "On Ishlinskij's model for non-perfectly elastic bodies." Aplikace matematiky 33.2 (1988): 133-144. <http://eudml.org/doc/15530>.

@article{Krejčí1988,
abstract = {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 $u^\{\prime \prime \} + F(u)=0$ describing the motion of a mass point at the extremity of an elastico-plastic spring.},
author = {Krejčí, Pavel},
journal = {Aplikace matematiky},
keywords = {damped vibrations; asymptotic behaviour; oscillatory properties; hysteresis scheme; Ishlinskij operator; potential energies; energy inequalities; dynamic behavior; non-perfect elasticity; damped vibrations; asymptotic behaviour; oscillatory properties; hysteresis scheme; Ishlinskij operator; potential energies; energy inequalities; dynamic behavior},
language = {eng},
number = {2},
pages = {133-144},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Ishlinskij's model for non-perfectly elastic bodies},
url = {http://eudml.org/doc/15530},
volume = {33},
year = {1988},
}

TY - JOUR
AU - Krejčí, Pavel
TI - On Ishlinskij's model for non-perfectly elastic bodies
JO - Aplikace matematiky
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 33
IS - 2
SP - 133
EP - 144
AB - 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 $u^{\prime \prime } + F(u)=0$ describing the motion of a mass point at the extremity of an elastico-plastic spring.
LA - eng
KW - damped vibrations; asymptotic behaviour; oscillatory properties; hysteresis scheme; Ishlinskij operator; potential energies; energy inequalities; dynamic behavior; non-perfect elasticity; damped vibrations; asymptotic behaviour; oscillatory properties; hysteresis scheme; Ishlinskij operator; potential energies; energy inequalities; dynamic behavior
UR - http://eudml.org/doc/15530
ER -