Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous Kirchhoff–Love plates with a crack
2019 ◽
Vol 24
(12)
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pp. 3743-3752
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Keyword(s):
A non-linear model describing the equilibrium of a cracked plate with a volume rigid inclusion is studied. We consider a variational statement for the Kirchhoff–Love plate satisfying the Signorini-type non-penetration condition on the crack faces. For a family of problems, we study the dependence of their solutions on the location of the inclusion. We formulate an optimal control problem with a cost functional defined by an arbitrary continuous functional on a suitable Sobolev space. For this problem, the location parameter of the inclusion serves as a control parameter. We prove continuous dependence of the solutions with respect to the location parameter and the existence of a solution of the optimal control problem.
2014 ◽
Vol 11
(03)
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pp. 477-491
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2008 ◽
Vol 13
(3)
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pp. 351-377
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2021 ◽
Vol 24
(1)
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pp. 48-66
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2003 ◽
Vol 36
(6)
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pp. 379-384
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2021 ◽
Vol 15
(1)
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pp. 62-77
Keyword(s):
2013 ◽
Vol 1
(1)
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pp. 21-38
Keyword(s):
2016 ◽
Vol 48
(12)
◽
pp. 37-47
Keyword(s):