Abstract
UDC 622.235 A solution was presented in [1] for the problem of shear crushing zone development in an elastoplastic material with camouftet explosion of a concentrated charge in a dynamic arrangement for the grinding zone and surrounding elastic material. Here it was assumed that the material was incompressible both in the grinding zone and in the elasticity zone. This is a first approximation based on the fact that elastic volumetric strains are small with deformation of rocks. In a more accurate consideration it is necessary to account for the effect of a change in specific volume caused by shear strains in the grinding zone (the dilation effect). The aim of the present work is a study of the effect of dilation on development of the grinding zone in an elastoplastic material with camouflet explosion of a concentrated charge. In addition comparison is carried out with an equilibrium static solution in order to explain the effect of dynamics in considering the effect of dilation on breaking process parameters. We consider the definition of the problem. Let an explosive charge be placed in a spherical cavity of radius a 0 in a boundless elastic material. In the initial instant of time as a result of the explosion the cavity is filled by gases with initial pressure P0. We shall consider that with expansion of the cavity radius a(t) gas pressure within it is determined by a Jones-Miller two-element adiabat [2] for a trotyl cylindrical charge p(a) = ~a ~ -3yl
Published Version
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