Article
MSC:
49J40,
49M30,
73T05,
73k40,
74A55,
74M15,
74P99,
74S05 | MR 0836802 | Zbl 0594.73109 | DOI: 10.21136/AM.1986.104184
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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
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
Summary:
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.
References:
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