Geodesic
Modelling of singularities in elastoplastic materials with fatigue
Applications of Mathematics, Tome 39 (1994) no. 2, pp. 137-160.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.21136/AM.1994.134250
Classification : 35L67, 73M10, 74R99
Keywords: hysteresis; elastoplasticity; fatigue; hyperbolic system 
@article{10_21136_AM_1994_134250,
     author = {Krej\v{c}{\'\i}, Pavel},
     title = {Modelling of singularities in elastoplastic materials with fatigue},
     journal = {Applications of Mathematics},
     pages = {137--160},
     publisher = {mathdoc},
     volume = {39},
     number = {2},
     year = {1994},
     doi = {10.21136/AM.1994.134250},
     mrnumber = {1258189},
     zbl = {0804.73043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134250/}
}
TY  - JOUR
AU  - Krejčí, Pavel
TI  - Modelling of singularities in elastoplastic materials with fatigue
JO  - Applications of Mathematics
PY  - 1994
SP  - 137
EP  - 160
VL  - 39
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134250/
DO  - 10.21136/AM.1994.134250
LA  - en
ID  - 10_21136_AM_1994_134250
ER  - 
%0 Journal Article
%A Krejčí, Pavel
%T Modelling of singularities in elastoplastic materials with fatigue
%J Applications of Mathematics
%D 1994
%P 137-160
%V 39
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134250/
%R 10.21136/AM.1994.134250
%G en
%F 10_21136_AM_1994_134250
Krejčí, Pavel. Modelling of singularities in elastoplastic materials with fatigue. Applications of Mathematics, Tome 39 (1994) no. 2, pp. 137-160. doi : 10.21136/AM.1994.134250. http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134250/

Cité par Sources :