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- Title
Well-posedness of initial boundary value problems on longitudinal impact on a composite linear viscoelastic bar.
- Authors
Aliev, Akbar B.; Mammadhasanov, Elkhan H.
- Abstract
We investigate the correctness of the initial boundary value problem of longitudinal impact on a piecewise-homogeneous semi-infinite bar consisting of a semi-infinite elastic part and finite length visco-elastic part whose hereditary properties are described by linear integral relations with an arbitrary difference kernel. Introducing nonstationary regularization in boundary conditions and in the contact conditions, the well-posedness of the considered problem is proved. Copyright © 2017 John Wiley & Sons, Ltd.
- Subjects
NUMERICAL solutions to boundary value problems; MATHEMATICAL models of viscoelasticity; IMPULSIVE differential equations; HYPERBOLIC differential equations; KERNEL (Mathematics)
- Publication
Mathematical Methods in the Applied Sciences, 2017, Vol 40, Issue 14, p5380
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.4392