International Conference «Mathematical and Informational Technologies, MIT-2013»
(X Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, September, 5–8, 2013

Budva, Montenegro, September, 9-14, 2013

## Numerical simulation of the failure of solids under intense dynamic loading

Under intensive dynamic loading in a solid produces a large number of cracks, leading to the formation of fragments of various shapes and sizes. Natural heterogeneity of the structure of materials affects the distribution of physical and mechanical characteristics of the material in terms of the body in question and consideration of this factor in the equations of solid mechanics is only possible with a random distribution of the strength properties of the initial deviations from the nominal value. Parameters such as yield strength, tensile strength, maximum strain and other constants that define the time of the destruction in various theories of strength and failure criteria are directly dependent on the number and size of defects, and must be dispersed in a random manner, with a variance that depends on the uniformity of material. Therefore, in mathematical analysis of the fragmentation of real materials must take into account the distribution of the initial inhomogeneities and make some disturbance in the physical and mechanical characteristics of the destroyed environment for the adequacy of the numerical calculations with experimental data. In this case, the physical and mechanical characteristics of the environment are responsible for the strength, considered to be distributed randomly over the volume of the material, and the process of destruction becomes probabilistic, which corresponds to the theoretical and experimental data.
To describe the processes of deformation and fragmentation of solids, the model strength compressible elastic perfectly plastic body. Main relations for the motion of the environment, based on the laws of conservation of mass, momentum and energy, and closure relations Prandtl-Reuss provided Mises flow. The equation of state is taken in the form of Mie - Gruneisen.
For the calculation of three-dimensional elastic-plastic flow technique is used, implemented on tetrahedral cells, and based on the joint use of the Wilkins method for calculation of internal points of the body and the Johnson method for calculating the contact interactions. Partition of three-dimensional domain into tetrahedra is consistent with automatic meshing routines.

 Abstracts file: Тезисы 2013Н.doc

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