Abstract
In many fracture problems, fragmentation is essentially a probabilistic process, which is determined by the stochastic nature of the distribution of inhomogeneities of the internal structure of material. The probabilistic approach is described, which allows us to model structural heterogeneities of the material in a simple form, practically without any complication of the model and additional experiments. Using experimental data and numerical simulation results, it is shown that the introduction of only one additional parameter (dispersion of the strength properties distribution) into the material model makes it possible to give a probabilistic character to the crack formation process at any scale level, which corresponds to theoretical concepts and experimental data. Distribution of materials strength characteristics (according to the selected distribution law) in the cells of the computational domain is used for initial heterogeneities and materials structure defects modeling. It is shown that the number and size of the “petals” at the penetration of thin barriers depend of the speed of the projectile and the strength characteristics of the barrier.
Highlights
In numerical simulation of dynamic interaction of deformable solids in many cases, it is necessary to assess the risk of damage to the body and to reliably predict the nature of their destruction, size and shape of the resulting fragments
If the speed of the projectile is reduced to 150 m/s (Fig. 2c), the time for localization of damage and stress relaxing in the event of a crack, the unloading zone increases, so the number of petals reduced to four. These results show that the proposed probabilistic approach allows even in a geometrically axisymmetric problem to describe the localization of deformations on the defects of the structure, provide the ‘petaling’ observed in experiments, and confirm the dependence of the number of ‘petals’ on the velocity of the projectile and the plastic properties of the barrier
Using experimental data and numerical simulation results, it is shown that introduction of only one additional parameter into the material model makes it possible to give a probabilistic character to the cracking process at any scale level
Summary
In numerical simulation of dynamic interaction of deformable solids in many cases, it is necessary to assess the risk of damage to the body and to reliably predict the nature of their destruction, size and shape of the resulting fragments. For most of these problems fragmentation is essentially a probabilistic process, which is determined by the stochastic nature of the distribution of inhomogeneities of the internal structure of the material [1]. The probabilistic approach described in this article allows modeling structural heterogeneities of the material in fracture problems, thereby increasing accuracy, removing the limitations of the classical approach and solving problems in the most realistic formulation. This technique allows us to simulate the effect of initial inhomogeneities and structural defects on the nature of the dynamic destruction of solids in a simple form, almost without complicating the material model
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