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Rendiconti Lincei - Matematica e Applicazioni


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Volume 21, Issue 2, 2010, pp. 215–233
DOI: 10.4171/RLM/568

Published online: 2010-04-18

Physical significance of the curvature varifold-based description of crack nucleation

Paolo Maria Mariano[1]

(1) Universita di Firenze, Italy

The nucleation and/or growth of cracks in elastic-brittle solids has been recently described in [14] in terms of a special class of measures and with a variational technique requiring the minimization of a certain energy over classes of bodies. Here, the physical foundations of the theory and the basic ideas leading to it are described and commented further on. A view on certain possible developments and shifts toward different settings is also given. This article has expository character.

Keywords: Fracture mechanics, elastic-brittle materials, currents, curvature varifolds, classes of bodies, extended weak diffeomorphisms

Mariano Paolo Maria: Physical significance of the curvature varifold-based description of crack nucleation. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 21 (2010), 215-233. doi: 10.4171/RLM/568