Popova, T and Rogerson, GA (2016) On the problem of a thin rigid inclusion embedded in a Maxwell material. Zeitschrift fur angewandte Mathematik und Physik, 67 (105). ISSN 0044-2275

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We consider a plane viscoelastic body, composed of Maxwell material, with a crack and a thin rigid inclusion. The statement of the problem includes boundary conditions in the form of inequalities, together with an integral condition describing the equilibrium conditions of the inclusion. An equivalent variational statement is provided and used to prove the uniqueness of the problem’s solution. The analysis is carried out in respect of perfect and non-perfect bonding of the rigid inclusion. Additional smoothness properties of the solutions, namely the existence of the time derivative, are also established.

Item Type: Article
Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s00033-016-0700-9
Uncontrolled Keywords: viscoelasticity, crack, rigid inclusion, variational inequality, inequality-type boundary conditions, non-penetration condition
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 24 Aug 2016 15:41
Last Modified: 04 Aug 2017 01:30
URI: https://eprints.keele.ac.uk/id/eprint/2131

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