The use in continuum mechanics of weak diffeomorphisms, Cartesian currents and curvature k-varifolds with boundary is discussed. The attention is focused on the analysis of the existence of minimizers for the energies of elastic complex bodies and bodies admitting cracks. The interplay between the analytical features and the physical needs is stressed.
Currents and curvature varifolds in continuum mechanics / Mariano Giaquinta; Paolo Maria Mariano; Giuseppe Modica; Domenico Mucci. - STAMPA. - (2010), pp. 97-117.
Currents and curvature varifolds in continuum mechanics
Paolo Maria Mariano
;Giuseppe Modica;
2010
Abstract
The use in continuum mechanics of weak diffeomorphisms, Cartesian currents and curvature k-varifolds with boundary is discussed. The attention is focused on the analysis of the existence of minimizers for the energies of elastic complex bodies and bodies admitting cracks. The interplay between the analytical features and the physical needs is stressed.
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