Modelling of singularities in elastoplastic materials with fatigue

Pavel Krejčí

Applications of Mathematics (1994)

  • Volume: 39, Issue: 2, page 137-160
  • ISSN: 0862-7940

Abstract

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The hypothesis that, on the macroscopic level, the accumulated fatigue of an elastoplastic material with kinematic hardening can be identified from the mathematical point of view with the dissipated energy, is used for the construction of a new constitutive elastoplastic fatigue model. Its analytical investigation characterizes conditions for the formation of singularities in a finite time. The corresponding constitutive law is then coupled with the dynamical equation of motion of a one-dimensional continuum and the resulting hyperbolic problem is solved via space-discretization method.

How to cite

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Krejčí, Pavel. "Modelling of singularities in elastoplastic materials with fatigue." Applications of Mathematics 39.2 (1994): 137-160. <http://eudml.org/doc/32876>.

@article{Krejčí1994,
abstract = {The hypothesis that, on the macroscopic level, the accumulated fatigue of an elastoplastic material with kinematic hardening can be identified from the mathematical point of view with the dissipated energy, is used for the construction of a new constitutive elastoplastic fatigue model. Its analytical investigation characterizes conditions for the formation of singularities in a finite time. The corresponding constitutive law is then coupled with the dynamical equation of motion of a one-dimensional continuum and the resulting hyperbolic problem is solved via space-discretization method.},
author = {Krejčí, Pavel},
journal = {Applications of Mathematics},
keywords = {hysteresis; elastoplasticity; fatigue; hyperbolic system; hysteresis; kinematic hardening; dissipated energy; constitutive law; hyperbolic problem; space-discretization method},
language = {eng},
number = {2},
pages = {137-160},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Modelling of singularities in elastoplastic materials with fatigue},
url = {http://eudml.org/doc/32876},
volume = {39},
year = {1994},
}

TY - JOUR
AU - Krejčí, Pavel
TI - Modelling of singularities in elastoplastic materials with fatigue
JO - Applications of Mathematics
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 2
SP - 137
EP - 160
AB - The hypothesis that, on the macroscopic level, the accumulated fatigue of an elastoplastic material with kinematic hardening can be identified from the mathematical point of view with the dissipated energy, is used for the construction of a new constitutive elastoplastic fatigue model. Its analytical investigation characterizes conditions for the formation of singularities in a finite time. The corresponding constitutive law is then coupled with the dynamical equation of motion of a one-dimensional continuum and the resulting hyperbolic problem is solved via space-discretization method.
LA - eng
KW - hysteresis; elastoplasticity; fatigue; hyperbolic system; hysteresis; kinematic hardening; dissipated energy; constitutive law; hyperbolic problem; space-discretization method
UR - http://eudml.org/doc/32876
ER -

References

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  8. 10.1017/S0956792500000541, Euro. Jnl. Appl. Math. 2 (1991), 281–292. (1991) MR1123144DOI10.1017/S0956792500000541
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  13. Differential models of hysteresis, Springer, to appear. Zbl0820.35004MR1329094
  14. An introduction to thermomechanics, 2 nd edition, North-Holland, 1983. (1983) MR0732945

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