Variational-Hemivariational Approach to a Quasistatic Viscoelastic Problem with Normal Compliance, Friction and Material Damage
Leszek Gasiński
Jagiellonian University, Kraków, PolandAnna Ochal
Jagiellonian University, Kraków, PolandMeir Shillor
Oakland University, Rochester, USA
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Abstract
This work studies a model for quasistatic frictional contact between a viscoelastic body and a reactive foundation. The constitutive law is assumed to be nonlinear and contains damage effects modeled by a parabolic differential inclusion. Contact is described by the normal compliance condition and a subdifferential frictional condition. A variational-hemivariational formulation of the problem is provided and the existence and uniqueness of its solution is proved. The proof is based on a surjectivity result for pseudomonotone coercive operators and a fixed point argument.
Cite this article
Leszek Gasiński, Anna Ochal, Meir Shillor, Variational-Hemivariational Approach to a Quasistatic Viscoelastic Problem with Normal Compliance, Friction and Material Damage. Z. Anal. Anwend. 34 (2015), no. 3, pp. 251–275
DOI 10.4171/ZAA/1538