Abstract
A model for the dynamic, adhesive, frictionless contact between a viscoelastic body and a deformable foundation is described. The adhesion process is modeled by a bonding field on the contact surface. The contact is described by a modified normal compliance condition. The tangential shear due to the bonding field is included. The problem is formulated as a coupled system of a variational equality for the displacements and a differential equation for the bonding field. The existence of a unique weak solution for the problem is established, together with a partial regularity result. The existence proof proceeds by construction of an appropriate mapping which is shown to be a contraction on a Hilbert space.
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Chau, O., Shillor, M. & Sofonea, M. Dynamic frictionless contact with adhesion . Z. angew. Math. Phys. 55, 32–47 (2004). https://doi.org/10.1007/s00033-003-1089-9
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DOI: https://doi.org/10.1007/s00033-003-1089-9