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IssuesArchive of Issues2010-2pp.241-248

Archive of Issues

Total articles in the database: 1813
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N.D. Vaisfel'd and G.Ya. Popov, "The wave field generated by a centre of rotation in an unbounded elastic medium with a semi-infinite conical crack," J. Appl. Math. Mech. 74 (2), 241-248 (2010)
Year 2010 Volume 74 Issue 2 Pages 241-248
Title The wave field generated by a centre of rotation in an unbounded elastic medium with a semi-infinite conical crack
Author(s) N.D. Vaisfel'd (Odessa, Ukraine)
G.Ya. Popov (Odessa, Ukraine, popov@onu.edu.ua)
Abstract The dynamic stress intensity factor at the edge of a semi-infinite conical crack when the medium is loaded by a non-stationary centre of rotation is determined. A centre of rotation is understood to be a set of four forces of equal magnitude that act in the same plane and form pairs having the same direction of rotation. If the magnitude of these forces is time dependent, i.e., their application is non-stationary, they form a non-stationary centre of rotation. The solution of the problem required the use of methods of integral transformations and discontinuous solutions, which reduced the problem to an integral differential equation in Laplace transform space. The combined use of the orthogonal polynomial method and time discretization to solve the equation enabled a formula for the stress intensity factor to be obtained.
Received 29 January 2008
Link to Fulltext http://www.sciencedirect.com/science/journal/00218928
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