Existence and Regularity for Dynamic Viscoelastic Adhesive Contact with Damage |
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Authors: | Kenneth L Kuttler Meir Shillor Jose R Fernandez |
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Institution: | (1) Department of Mathematics, Brigham Young University, Provo, UT 84602, USA;(2) Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309, USA;(3) Departamento de Matematica Aplicada, Facultade de Matematicas, University of Santiago de Compostela, 15706 Santiago de Compostela, Spain |
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Abstract: | A model for the dynamic process of frictionless adhesive contact
between a viscoelastic body and a reactive foundation, which takes into
account the damage of the material resulting from tension or compression, is
presented. Contact is described by the normal compliance condition. Material
damage is modelled by the damage field, which measures the pointwise
fractional decrease in the load-carrying capacity of the material, and its
evolution is described by a differential inclusion. The model allows for
different damage rates caused by tension or compression. The adhesion is
modelled by the bonding field, which measures the fraction of active bonds
on the contact surface. The existence of the unique weak solution is
established using the theory of set-valued pseudomonotone operators
introduced by Kuttler and Shillor (1999). Additional regularity of the
solution is obtained when the problem data is more regular and satisfies
appropriate compatibility conditions. |
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Keywords: | Existence Regularity Dynamic contact Adhesion Damage |
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