Geodesic
Substantiation of two-scale homogenization of the equations governing the longitudinal vibrations of a viscoelastoplastic Ishlinskii material
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 6, pp. 988-1006

Voir la notice de l'article provenant de la source Math-Net.Ru

Initial-boundary value problems for the system of quasilinear operator-differential equations governing the longitudinal vibrations of a viscoelastoplastic Ishlinskii material with nonsmooth rapidly oscillating coefficients and initial data are investigated. The system involves the hysteresis Prandtl–Ishlinskii operator. Passage to the limit to initial-boundary value problems for the corresponding system of two-scale homogenized operator integro-differential equations is strictly substantiated globally in time without assuming that the data are small. 
@article{ZVMMF_2007_47_6_a5,
     author = {A. A. Amosov and I. A. Goshev},
     title = {Substantiation of two-scale homogenization of the equations governing the longitudinal vibrations of a~viscoelastoplastic {Ishlinskii} material},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {988--1006},
     publisher = {mathdoc},
     volume = {47},
     number = {6},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_6_a5/}
}
TY  - JOUR
AU  - A. A. Amosov
AU  - I. A. Goshev
TI  - Substantiation of two-scale homogenization of the equations governing the longitudinal vibrations of a viscoelastoplastic Ishlinskii material
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2007
SP  - 988
EP  - 1006
VL  - 47
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_6_a5/
LA  - ru
ID  - ZVMMF_2007_47_6_a5
ER  - 
%0 Journal Article
%A A. A. Amosov
%A I. A. Goshev
%T Substantiation of two-scale homogenization of the equations governing the longitudinal vibrations of a viscoelastoplastic Ishlinskii material
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2007
%P 988-1006
%V 47
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_6_a5/
%G ru
%F ZVMMF_2007_47_6_a5
A. A. Amosov; I. A. Goshev. Substantiation of two-scale homogenization of the equations governing the longitudinal vibrations of a viscoelastoplastic Ishlinskii material. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 6, pp. 988-1006. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_6_a5/