Geodesic
On the minimum of the work of interaction forces between a pseudoplate and a rigid obstacle
Mathematica Bohemica, Tome 126 (2001) no. 2, pp. 281-292

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An optimization problem for the unilateral contact between a pseudoplate and a rigid obstacle is considered. The variable thickness of the pseudoplate plays the role of a control variable. The cost functional is a regular functional only in the smooth case. The existence of an optimal thickness is verified. The penalized optimal control problem is considered in the general case.
DOI : 10.21136/MB.2001.134022
Classification : 35J85, 49J20, 49J40, 74K20
Keywords: elliptic variational inequality; pseudoplate; thickness; optimal control; penalization 
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Bock, Igor; Lovíšek, Ján. On the minimum of the work of interaction forces between a pseudoplate and a rigid obstacle. Mathematica Bohemica, Tome 126 (2001) no. 2, pp. 281-292. doi: 10.21136/MB.2001.134022

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