Differential Inclusions, Control and Optimization 20 (2000) 79-91
doi: 10.7151/dmdico.1006

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Andrzej Myśliński

System Research Institute
01-447 Warsaw, ul. Newelska 6, Poland

e-mail: myslinsk@ibspan.waw.pl


The paper deals with shape optimization of dynamic contact problem with Coulomb friction for viscoelastic bodies. The mass nonpenetrability condition is formulated in velocities. The friction coefficient is assumed to be bounded. Using material derivative method as well as the results concerning the regularity of solution to dynamic variational inequality the directional derivative of the cost functional is calculated and the necessary optimality condition is formulated.

Keywords: dynamic unilateral problem, shape optimization, sensitivity analysis, necessary optimality condition.

1991 Mathematics Subject Classification: 35B30, 49B50, 73C60, 73K40.


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Received 18 November 1999
Revised 3 March 2000