# Modelling of singularities in elastoplastic materials with fatigue

Applications of Mathematics (1994)

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

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topKrejčí, 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 -

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