Wednesday 23 March 2011

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Transactions: INTERNATIONAL JOURNAL of MECHANICS
Transactions ID Number: 20-609
Full Name: Marina Shitikova
Position: Professor
Age: ON
Sex: Female
Address: 20-letija Street 84, Voronezh 394006
Country: RUSSIA
Tel: +7-910-3450412
Tel prefix:
Fax: +7-4732-773992
E-mail address: shitikova@vmail.ru
Other E-mails: MVS@vgasu.vrn.ru
Title of the Paper: Dynamic response of spherical shells impacted by falling bodies
Authors as they appear in the Paper: Yury A. Rossikhin, Marina V. Shitikova, Vyacheslav Shamarin
Email addresses of all the authors: YAR@vgasu.vrn.ru,MVS@vgasu.vrn.ru,shitikova@vmail.ru,shamarin@yandex.ru
Number of paper pages: 16
Abstract: The problem on normal low-velocity impact of an elastic falling body upon an elastic spherical shell is studied. At the moment of impact, shock waves (surfaces of strong discontinuity) are generated in the target, which then propagate along the body during the process of impact. Behind the wave fronts upto the boundary of the contact domain, the solution is constructed with the help of the theory of discontinuities and one-term or multiple-term ray expansions. Nonlinear Hertz's theory and linearized elastic contact laws are employed within the contact region. For the analysis of the processes of shock interactions of the elastic sphere or elastic spherically-headed rod with the spherical shell, nonlinear integro-differential equation has been obtained with respect to the value characterizing the local indentation of the impactor into the target, which has been solved analytically in terms of time series with integer and fractional powers. In the case of the linea!
r elastic shock interactions, the governing differential equations for the target and the impactor are solved analytically by the ray method.
Keywords: Wave theory of impact, Spherical shell, Ray method, Hertz's contact law, Linearized contact law, Surface of strong discontinuity
EXTENSION of the file: .pdf
Special (Invited) Session: Dynamic response of a spherical shell impacted by a sphere
Organizer of the Session: 650-287
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