A surface energy approach to the mass reduction problem for elastic bodies
Pietro D'Ambrosio, Domenico De Tommasi, Luca Granieri, Francesco Maddalena · IMA Journal of Applied Mathematics · 2009
We consider the problem of mass reduction for elastic bodies by appearance of cavities. In this work, this problem is related to the minimization of a surface energy, depending on the stress tensor in the original equilibrium configuration. Special cases of mechanical interest are also analysed.