Geodesic
Contact shape optimization based on the reciprocal variational formulation
Applications of Mathematics, Tome 44 (1999) no. 5, pp. 321-358.

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The paper deals with a class of optimal shape design problems for elastic bodies unilaterally supported by a rigid foundation. Cost and constraint functionals defining the problem depend on contact stresses, i.e. their control is of primal interest. To this end, the so-called reciprocal variational formulation of contact problems making it possible to approximate directly the contact stresses is used. The existence and approximation results are established. The sensitivity analysis is carried out.
DOI : 10.1023/A:1023013327165
Classification : 49A29, 49D29, 49Q10, 65K10, 73K25, 74M15, 74P10
Keywords: shape optimization; contact problems; reciprocal variational formulation; sensitivity analysis 
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     title = {Contact shape optimization based on the reciprocal variational formulation},
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Haslinger, Jaroslav. Contact shape optimization based on the reciprocal variational formulation. Applications of Mathematics, Tome 44 (1999) no. 5, pp. 321-358. doi : 10.1023/A:1023013327165. http://geodesic.mathdoc.fr/articles/10.1023/A:1023013327165/

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