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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MR Zbl
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.
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 
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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