The effect of the fractality of a fracture surface and spall contour on the characteristics [fracture time (strength) and spall strength] of the loaded material is studied. It is shown that an increase in the fractal dimensions of the spall contour leads to an increase in the material strength parameter in the tensile wave and spall strength, whereas an increase in the fractal dimension of the fracture surface leads to a decrease in the spall strength. As an example, the spall strength is calculated taking into account the fractality of the fracture surface for Sp. 28 steel.
Introduction.As is known, the dynamic (in particular, spall) fracture of materials is a multiphase kinetic process based on the polyscale evolution of internal material defects. At each scale level, the nature and duration of elementary events of structural changes are different and interrelated. In addition, the initiation and development of defects at different stages is possible, i.e., the formation of macrodefects can be accompanied by the initiation of submicrodefects, their coalescence with the formation of microdefects, etc. In this case, the indicated processes influence each other. From the aforesaid, it follows that constructing a mathematical multilevel model of dynamic (spall) fracture taking into account the multifactor nature of the process (description of each level, determination of the relations between the physical processes at each level, and determination of the influence of the processes occurring at all levels on the processes occurring at a chosen level) is a difficult problem. There are a number of models describing various features of material behavior under dynamic (spall) fracture conditions. Wide use has been made of models that include only two fracture stages (microlevel and macrolevel) or employ only statistical methods for describing the initiation and development of defects [1].Recently, models has been developed that take into account the discrete nature of a deformable medium, which is treated as a dissipative system, whose evolutions leads to the occurrence of fractal structures capable of self-similar propagation resulting in global fracture upon reaching some critical conditions [2][3][4][5].The purpose of the present work is to establish relations among the strength t fr , the spall strength σ fr of the material, and the fractal parameters of the fracture surface formed during shock-induced spall fracture.Experimental Technique. Disks-shaped targets 52 mm in diameter and 5-10 mm thick made of steels of various classes were loaded by a flat impactor using a pneumatic gun at velocities V 0 = 200-650 m/sec.The tested targets were studied with a SEM 535 scanning electron microscope. The fractal dimensions of the spall contour and the size distribution of shear and spall regions (defects) were determined by digitization and statistical processing of electron photomicrographs of vertical sections of the fracture surface of the targets at magnifications over a wide range (from 10 to 5 · 10 3 ).Experimental Resu...