A V Babkin (Bauman Moscow State Technical University) :


Articles:

532.517.4;621.791.13+623.4.082.6 Mathematical simulation of the collapse of axisymmetric metallic shells considering the growth of instability

Novoseltsev A. S. (Bauman Moscow State Technical University), Babkin A. V. (Bauman Moscow State Technical University), Ladov S. V. (Bauman Moscow State Technical University)


doi: 10.18698/2309-3684-2025-4-86107


The article considers the problem of the stability of the collapse of metallic axisymmetric shells (shaped-charge liners) under the action of detonation products. A mathematical formulation of the problem is presented, and a numerical solution method is described, based on the Lagrangian approach and Wilkins’ finite-difference scheme with additional reconstruction of the computational grid. The influence of initial geometric perturbations, shell thickness, its physical and mechanical properties, and other parameters on the development of Rayleigh–Taylor and Richtmyer–Meshkov instabilities is demonstrated.


Новосельцев А.С., Бабкин А.В., Ладов С.В. Математическое моделирование схлопывания осесимметричных металлических оболочек с учётом развития неустойчивости. Математическое моделирование и численные методы, 2025, № 4, с. 86–107.