Well-posedness of initial boundary value problems on longitudinal impact on a composite linear viscoelastic bar

摘要

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 (C) 2017 JohnWiley & Sons, Ltd.