Geodesic
Quasi-statical model of pressure adequation in multicomponent porous geterogeneous material under radiation action
Matematičeskoe modelirovanie, Tome 13 (2001) no. 6, pp. 93-98.

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Physical and mathematical model for calculation of initial pressure formed by X-ray radiation absorption by heterogeneous material is proposed. Method of elemental structure cell is used. It is assumed that continuance of radiation action is a lot more then characteristic times of acoustic relaxation of heterogeneous material components and adequation process for pressure may be regarded as quasi-statical. Material behaviour is described by calorycal equation of state, and porosity accounting is realized by introduction of material porosity dependence from pressure and specific internal energy. Calculation result for heterogeneous material consisting of epoxy binder and discrete filler $(SnO_2)$ is adduced. 
@article{MM_2001_13_6_a14,
     author = {A. V. Ostrik and E. A. Ostrik},
     title = {Quasi-statical model of pressure adequation in multicomponent porous geterogeneous material under radiation action},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {93--98},
     publisher = {mathdoc},
     volume = {13},
     number = {6},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2001_13_6_a14/}
}
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A. V. Ostrik; E. A. Ostrik. Quasi-statical model of pressure adequation in multicomponent porous geterogeneous material under radiation action. Matematičeskoe modelirovanie, Tome 13 (2001) no. 6, pp. 93-98. http://geodesic.mathdoc.fr/item/MM_2001_13_6_a14/