Geodesic
Modeling of the process of interaction of the shock wave with cylindrical shell considering wave radiation effect
Matematičeskoe modelirovanie i čislennye metody (2015), pp. 38-52

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The objective of this research is to examine the shock wave with cylindrical shell and to propose a method for calculating its dynamic stability under axial compressive timevarying load. For weak shock waves we conducted comparative analysis of the exact solution and the existing approximate solutions. We evaluated the wave radiation effect after the shell deformation. The case of linearly varying load was considered as an example.
Keywords: Incident shock wave, reflected shock wave, radiated shock wave, overpressure, cylindrical shell, integral transformation, asymptotic representation. 
@article{MMCM_2015_a1,
     author = {V. M. Dubrovin and T. A. Butina and N. S. Polyakova},
     title = {Modeling of the process of interaction of the shock wave with cylindrical shell considering wave radiation effect},
     journal = {Matemati\v{c}eskoe modelirovanie i \v{c}islennye metody},
     pages = {38--52},
     publisher = {mathdoc},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMCM_2015_a1/}
}
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V. M. Dubrovin; T. A. Butina; N. S. Polyakova. Modeling of the process of interaction of the shock wave with cylindrical shell considering wave radiation effect. Matematičeskoe modelirovanie i čislennye metody (2015), pp. 38-52. http://geodesic.mathdoc.fr/item/MMCM_2015_a1/