Mp. Bendsoe et Rb. Haber, THE MIEHELL LAYOUT PROBLEM AS A LOW-VOLUME FRACTION LIMIT OF THE PERFORATED PLATE TOPOLOGY OPTIMATION PROBLEM - AN ASYMPTOTIC STUDY, Structural optimization, 6(4), 1993, pp. 263-267
It is shown that Michell's problem of least-weight truss layouts can b
e obtained by asymptotic expansion of the optimized strain and complem
entary energies derived for minimum compliance topology of perforated
plates in plane stress.