Applied Physics and Mathematics Annotation << Back NUMERICAL MODELING OF FRAGMENTATION OF SPHERICAL SHELLS UNDER BLAST OF EXPLOSIVE CHANGE IN ITS CAVITY A.B. KISELEV, D.P. LOGINOV The problem of irreversible dynamic deformation, up to fragmentation, of spherical metal shells under the influence of an intense short-term load caused by the explosion of a charge of condensed explosives filling the shell is considered. The charge is initiated from the center of the structure. The shell material is modeled with a bilinear elastic-plastic medium. As a criterion for the onset of macrofracture, the entropy criterion of marginal specific dissipation is used. To calculate the number of fragments and their distribution by mass, a modified probabilistic Weibull distribution and the assumption that half of the elastic energy accumulated in the body is spent on destruction, and the other half of it goes to the kinetic energy of the “flight” of fragments. Calculations are carried out using the ABAQUS software package by the finite element method on Lagrange and Eulerian calculation grids, which is complemented by original blocks for modeling the process of irreversible dynamic deformation and fracture of construction. The calculations agree well with the data of the experiments. Keywords: dynamic loading, fragmentation, shell, numerical simulation, macrocritical fracture criterion, Weibull theory. DOI: 10.25791/pfim.02.2022.1225 Pp. 30-37.