Geodesic
Asymptotic behaviour for a phase-field model with hysteresis in one-dimensional thermo-visco-plasticity
Applications of Mathematics, Tome 49 (2004) no. 4, pp. 309-341 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The asymptotic behaviour for $t \rightarrow \infty $ of the solutions to a one-dimensional model for thermo-visco-plastic behaviour is investigated in this paper. The model consists of a coupled system of nonlinear partial differential equations, representing the equation of motion, the balance of the internal energy, and a phase evolution equation, determining the evolution of a phase variable. The phase evolution equation can be used to deal with relaxation processes. Rate-independent hysteresis effects in the strain-stress law and also in the phase evolution equation are described by using the mathematical theory of hysteresis operators.
The asymptotic behaviour for $t \rightarrow \infty $ of the solutions to a one-dimensional model for thermo-visco-plastic behaviour is investigated in this paper. The model consists of a coupled system of nonlinear partial differential equations, representing the equation of motion, the balance of the internal energy, and a phase evolution equation, determining the evolution of a phase variable. The phase evolution equation can be used to deal with relaxation processes. Rate-independent hysteresis effects in the strain-stress law and also in the phase evolution equation are described by using the mathematical theory of hysteresis operators.
DOI : 10.1007/s10492-004-6402-1
Classification : 34C55, 35B40, 35K60, 47J40, 74K05, 74N30
Keywords: phase-field system; phase transition; hysteresis operator; thermo-visco-plasticity; asymptotic behaviour 
@article{10_1007_s10492_004_6402_1,
     author = {Klein, Olaf},
     title = {Asymptotic behaviour for a phase-field model with hysteresis in one-dimensional thermo-visco-plasticity},
     journal = {Applications of Mathematics},
     pages = {309--341},
     year = {2004},
     volume = {49},
     number = {4},
     doi = {10.1007/s10492-004-6402-1},
     mrnumber = {2076488},
     zbl = {1099.74051},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-004-6402-1/}
}
TY  - JOUR
AU  - Klein, Olaf
TI  - Asymptotic behaviour for a phase-field model with hysteresis in one-dimensional thermo-visco-plasticity
JO  - Applications of Mathematics
PY  - 2004
SP  - 309
EP  - 341
VL  - 49
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-004-6402-1/
DO  - 10.1007/s10492-004-6402-1
LA  - en
ID  - 10_1007_s10492_004_6402_1
ER  - 
%0 Journal Article
%A Klein, Olaf
%T Asymptotic behaviour for a phase-field model with hysteresis in one-dimensional thermo-visco-plasticity
%J Applications of Mathematics
%D 2004
%P 309-341
%V 49
%N 4
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-004-6402-1/
%R 10.1007/s10492-004-6402-1
%G en
%F 10_1007_s10492_004_6402_1
Klein, Olaf. Asymptotic behaviour for a phase-field model with hysteresis in one-dimensional thermo-visco-plasticity. Applications of Mathematics, Tome 49 (2004) no. 4, pp. 309-341. doi: 10.1007/s10492-004-6402-1

Cité par Sources :