Geodesic
Impact waves propogation in nonlinear deformable shells of a~complex form
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2008), pp. 81-93

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Mathematical models were developed and the nonlinear boundary value problem of dynamics thinwalled shells of the arbitrary form under action shock pulse is formulated. Dependence of processes of deformation on speed loading, compressibility of a material, finite deformations and large displacements of a shell middle surface, formation and kinetic of plasticity zones of a material during action of a shock wave are considered. Parameterization of a shell surface is carried out by bi-cubic splines. For the description of nonlinear, time and speed dependents of a shell material behavior with anisotropic hardening the generalized model of microplasticity is developed on the account of viscosity of deformation, hysteresis losses and Baushinger's effect. The solution of boundary value problems on the basis of difference schemes is constructed. Results of modeling of nonlinear wave processes in a assemble shell under action of explosion also are presented.
Keywords: nonlinear deformed media, shells, impact dynamics, numerical simulation. 
@article{VUU_2008_3_a9,
     author = {V. A. Petushkov and N. V. Skorokhodova},
     title = {Impact waves propogation in nonlinear deformable shells of a~complex form},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {81--93},
     publisher = {mathdoc},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2008_3_a9/}
}
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V. A. Petushkov; N. V. Skorokhodova. Impact waves propogation in nonlinear deformable shells of a~complex form. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2008), pp. 81-93. http://geodesic.mathdoc.fr/item/VUU_2008_3_a9/