Haslinger, J.; Neittaanmäki, P.; Tiihonen, Timo On optimal shape design of an elastic body on a rigid foundation. (English) Zbl 0588.73159 The mathematics of finite elements and applications V, MAFELAP 1984, Proc. 5th Conf., Uxbridge/Engl. 1984, 555-562 (1985). [For the entire collection see Zbl 0566.00028.] We firstly study the existence of the optimal shape for an elastic body unilaterally supported by a rigid foundation. Secondly, we apply finite elements to these problems and analyze the relation of the continuous and the discrete problem. Finally we present some numerical results. Cited in 2 Documents MSC: 74P99 Optimization problems in solid mechanics 74S05 Finite element methods applied to problems in solid mechanics Keywords:optimal shape; elastic body unilaterally supported; rigid foundation Citations:Zbl 0566.00028 PDFBibTeX XML