V.N. Leitsin, M.A. Dmitrieva

Powder systems  Concentration inhomogeneity  Different condition of synthesis  Different structure of product Layered systems  Homogeneity  High reproducibility of experimental results

b a Reactive cell

Stage I Plastic deformation Wk=W-WDWk=W-WD Stage II Fracture of layers (texture formation)

b a v1v1 v2v2 R(c)=0,

Boundary conditions ω is an amplitude deflections of the plate, p is a frequency

 l i =c iR /p ij Irwin equation Rayleigh wave c iR - Rayleigh wave velocity, p ij – natural frequency A * - work to increase the area of ​​ cracks per unit, K IC - fracture toughness of the material, E - Young's modulus, ν - Poisson's ratio

σ В – is the breaking point of a powder component K Ic – is the fracture toughness and с is the velocity of elastic waves Further development of material fracture is defined by the incubation period  [2]: A criterion for complete fracture of material The kinetic equation of material damage The instantaneous damage ω0 as a function of applied pressure р can be written [1] in the form: [1] Kashtanov, A.V. and Petrov, Yu.V., Tech. Phys., 2006, vol. 51, no. 5, pp. 604–614. [2] Glebovskii, P.A. and Petrov, Yu.V., Phys. Solid State, 2004, vol. 46, no 6, pp. 1051–1054.

1. Plastic deformation: 2. Fracture of layers: v imp =c R,

Pre-exponent Change in the reactivity Condition of reactive equivalence The kinetic function φ(z)=0,5z -1

1. Determination of Rayleigh velocity of components; 2. Determination of the velocity of applied load; 3. Determination of natural frequencies of the elements; 4. Estimation of possible characteristic size of the texture of damaged material; 5. Estimation of energy balance during the process of shock modification, taking into account the incubation time of damage; 6. Estimation of local parameters of the kinetics of chemical reactions; 7. Estimation of chemical transformations conditions.

 A.A. Denisaev, A.S. Shteinberg, A.A. Berlin // Russian Journal of Physical Chemistry B, vol 2, No 3, pp Al+3(-C 2 F 4 -)=4AlF 3 +6C+8678 kJ/kg

l 1Ft, mml 1Al, mm 7,171,590,960,65 9,822,181,320,90 6,091,520,890,64 8,352,091,220,87 5,601,500,860,62 7,672,051,180,85 3,841,490,830,58 5,262,051,140,79 3,311,330,780,54 4,541,821,070,74 2,711,140,780,53 3,711,571,070,72 2,621,140,710,50 3,581,570,970,69 2,361,090,680,44 3,231,500,930,60 2,151,000,670,43 2,951,370,920,59 1,830,970,670,37 2,501,340,920,50

Dependence of the relative volume of the material δ, which reached the state of resonance on amplitude of the dynamic loading P The results indicate the presence of a critical value of the amplitude of the shock pulse, the overcoming of which leads to a resonant mode at first in teflon (P = 40 MPa) and then in aluminum (P = 880 MPa).

 The studies have shown the promise of the developed approach of modeling the conditions of shock-induced reaction in layered reactive systems.  Development of the theory of multicomponent chemically reacting systems under dynamic loading for layered reacting systems lets us to consider a concentration-deterministic multi-component reactive system to ensure good reproducibility of experimental results, on the one hand, and significantly reduce the required amount of parametric studies - on the other hand. Thank You for Your attention