Open AccessFatigue accumulation in a thermo-visco-elastoplastic plate
Author(s) -
Michela Eleuteri,
Jana Kopfová,
Pavel Krejčı́
Publication year - 2014
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2014.19.2091
Subject(s) - dissipation , viscoelasticity , interval (graph theory) , materials science , mechanics , boundary value problem , boundary (topology) , thermodynamics , mathematics , mathematical analysis , composite material , physics , combinatorics
We consider a thermodynamic model for fatigue accumulation in an oscillating elastoplastic Kirchho plate based on the hypothesis that the fatigue accumulation rate is proportional to the plastic part of the dissipation rate. For the full model with periodic boundary conditions we prove existence of a solution in the whole time interval