Geodesic
Shape optimization in contact problems based on penalization of the state inequality
Applications of Mathematics, Tome 31 (1986) no. 1, pp. 54-77.

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The paper deals with the approximation of optimal shape of elastic bodies, unilaterally supported by a rigid, frictionless foundation. Original state inequality, describing the behaviour of such a body is replaced by a family of penalized state problems. The relation between optimal shapes for the original state inequality and those for penalized state equations is established.
DOI : 10.21136/AM.1986.104184
Classification : 49J40, 49M30, 73T05, 73k40, 74A55, 74M15, 74P99, 74S05
Keywords: frictionless plane contact; linear-elastic sheet; rigid foundation; shape optimization; contact boundary curve; minimization of the total potential energy; family of penalized state problems; existence; convergence; nonlinear programming problem; box constraints; linear inequality constraints; linear equality constraint 
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     title = {Shape optimization in contact problems based on penalization of the state inequality},
     journal = {Applications of Mathematics},
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Haslinger, Jaroslav; Neittaanmäki, Pekka; Tiihonen, Timo. Shape optimization in contact problems based on penalization of the state inequality. Applications of Mathematics, Tome 31 (1986) no. 1, pp. 54-77. doi : 10.21136/AM.1986.104184. http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104184/

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