TITLE:
Mathematical Modeling of Shock Waves in Inhomogeneous Viscoelastic Two-Component Media
AUTHORS:
Victor Polenov, Anatoli Chigarev
KEYWORDS:
Wave Propagation, Porous Medium, Dynamic Quantities, Elasticity, Viscoelastic, Fluid
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.5,
May
22,
2018
ABSTRACT: Mathematical modeling of two-component media with a saturated liquid began over 90 years with studies of the consolidation of soils. Two-component must be taken into account when solving a significant number of applied problems arising in various areas of human activity (soils, foams, various cement mortars, sand, porous ceramics, porous sintered composite materials, etc.). Two-component media are widely used in the national economy. For example, in the construction of new airfields and the restoration of destroyed, where the building materials used contain a significant number of voids. The study of wave processes is also very important for the development of new diagnostic methods, new technologies for creating two-component environments that could be applied in the field of engineering, construction, instrumentation, metallurgy, nuclear power and the defense capability of the country. However, the complexity of describing the effects of the interaction of components, heat transfer, and other related processes has led to the fact that until now the generally accepted models (elastic medium-liquid) for a fluid-saturated two-component medium have not been fully developed. Therefore, it is of interest to develop a mathematical two-component model when one of the components represents an inhomogeneous viscoelastic medium and the other is a compressible fluid. The presence and degree of porosity in materials is accounted for by a porosity coefficient equal to the ratio of the pore volume to the total volume occupied by the medium.