Geodesic
Weight minimization of an elastic plate with a unilateral inner obstacle by a mixed finite element method
Applications of Mathematics, Tome 39 (1994) no. 5, pp. 375-394.

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Unilateral deflection problem of a clamped plate above a rigid inner obstacle is considered. The variable thickness of the plate is to be optimized to reach minimal weight under some constraints for maximal stresses. Since the constraints are expressed in terms of the bending moments only, Herrmann-Hellan finite element scheme is employed. The existence of an optimal thickness is proved and some convergence analysis for approximate penalized optimal design problem is presented.
DOI : 10.21136/AM.1994.134266
Classification : 49A29, 49J40, 65K10, 65N30, 73K10, 74K20, 74P99, 74S05
Keywords: weight minimization; penalty method; unilateral plate bending; mixed finite elements 
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     author = {Hlav\'a\v{c}ek, Ivan},
     title = {Weight minimization of an elastic plate with a unilateral inner obstacle by a mixed finite element method},
     journal = {Applications of Mathematics},
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Hlaváček, Ivan. Weight minimization of an elastic plate with a unilateral inner obstacle by a mixed finite element method. Applications of Mathematics, Tome 39 (1994) no. 5, pp. 375-394. doi : 10.21136/AM.1994.134266. http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134266/

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