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Direct central impact of different elastic bodies of rotation
Author(s) -
Marchenko Tetiana
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510098
Subject(s) - bessel function , collision , boundary value problem , boundary (topology) , mathematical analysis , rotation (mathematics) , series (stratigraphy) , mathematics , term (time) , physics , geometry , geology , computer science , paleontology , computer security , quantum mechanics
A direct central collision of two bodies of revolution is studied. A nonstationary mixed boundary‐value problem with an unknown moving boundary is formulated. Its solution is represented by a series in term of Bessel functions. An infinite system of Volterra equations of the second kind for the unknown expansion coefficients is derived by satisfying the boundary conditions. The basic characteristics of the collision process are determined depending on the physic‐mechanical properties of the bodies. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)