Geodesic
Modelling of partial closing of cracks in the environment with emptiness
Matematičeskoe modelirovanie, Tome 20 (2008) no. 2, pp. 32-42.

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

On the basis of methods thermoelasticity the mathematical description of model of partial closing of cracks in heat-generating the isotropic massif weakened doubly periodic by system of cylindrical channels of round cross-section is lead. It is considered, that in process of increase of intensity of a heat release in a massif there is a destruction of a material. Definition of unknown contact stress and the sizes of zones of contact is reduced to the solution singular the integrated equation. 
@article{MM_2008_20_2_a3,
     author = {V. M. Mirsalimov},
     title = {Modelling of partial closing of cracks in the environment with emptiness},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {32--42},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_2_a3/}
}
TY  - JOUR
AU  - V. M. Mirsalimov
TI  - Modelling of partial closing of cracks in the environment with emptiness
JO  - Matematičeskoe modelirovanie
PY  - 2008
SP  - 32
EP  - 42
VL  - 20
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2008_20_2_a3/
LA  - ru
ID  - MM_2008_20_2_a3
ER  - 
%0 Journal Article
%A V. M. Mirsalimov
%T Modelling of partial closing of cracks in the environment with emptiness
%J Matematičeskoe modelirovanie
%D 2008
%P 32-42
%V 20
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2008_20_2_a3/
%G ru
%F MM_2008_20_2_a3
V. M. Mirsalimov. Modelling of partial closing of cracks in the environment with emptiness. Matematičeskoe modelirovanie, Tome 20 (2008) no. 2, pp. 32-42. http://geodesic.mathdoc.fr/item/MM_2008_20_2_a3/

[1] Sobolev S. L., Mukhina G. V., “Opredelenie termicheskikh napryazhenii v srede s pustotami”, Atomnaya energiya, 5:2 (1958), 178–181 | MR

[2] Goldenblat I. I., Nikolaenko N. A., Raschety temperaturnykh napryazhenii v yadernykh reaktorakh, Gosatomizdat, M., 1962, 147 pp.

[3] Filshtinskii L. A., “Zadachi teploprovodnosti i termouprugosti dlya ploskosti, oslablennoi dvoyako-periodicheskoi sistemoi odinakovykh kruglykh otverstii”, Teplovye napryazheniya v elementakh konstruktsii, vyp. 4, Naukova dumka, Kiev, 1964, 103–112

[4] Mirsalimov V. M., Razrushenie uprugikh i uprugoplasticheskikh tel s treschinami, ELM, Baku, 1984, 124 pp. | MR

[5] Muskhelishvili N. I., Nekotorye osnovnye zadachi matematicheskoi teorii uprugosti, Nauka, M., 1966, 707 pp.

[6] Grigolyuk E. I., Filshtinskii L. A., Perforirovannye plastiny i obolochki, Nauka, M., 1970, 556 pp.