Calculus of Variations and Geometric Measure Theory
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P. D'Ambrosio - D. De Tommasi - L. Granieri - F. Maddalena

A surface energy approach to the mass reduction problem for elastic bodies.

created by granieri on 23 Jul 2009
modified on 19 Feb 2010


Published Paper

Inserted: 23 jul 2009
Last Updated: 19 feb 2010

Journal: IMA Journal of Applied Mathematics
Number: 74
Pages: 934-949
Year: 2009

Published online 3 November 2009


We consider the problem of mass reducing 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 analyzed.


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