WEAK SOLUTIONS VIA LAGRANGE MULTIPLIERS FOR CONTACT MODELS WITH NORMAL COMPLIANCE

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Konuralp Journal of Mathematics
Volume:3 Issue:2
WEAK SOLUTIONS VIA LAGRANGE MULTIPLIERS FOR CONTACT MODELS WITH NORMAL COMPLIANCE

WEAK SOLUTIONS VIA LAGRANGE MULTIPLIERS FOR CONTACT MODELS WITH NORMAL COMPLIANCE

Authors : Andaluzia Cristina MATEI

Pages : 202-210

View : 49 | Download : 11

Publication Date : 2015-10-01

Article Type : Research Paper

Abstract :We consider a 3D elastostatic frictional contact problem with normal compliance, which consists of a systems of partial di erential equations associated with a displacement boundary condition, a traction boundary condition and a frictional contact boundary condition. The frictional contact is modeled by means of a normal compliance condition and a version of Coulomb`s law of dry friction. After we state the problem and the hypotheses, we deliver a variational formulation as a mixed variational problem with solution-dependent Lagrange multipliers set. Next, we prove the existence and the boundedness of the weak solutions. 1.
Keywords : normal compliance contact condition, Coulomb`s law of dry friction, Lagrange multiplier

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