Abstract
By means of balanced virtual powers, an axiomatic approach is developed, in the spirit of Noll, to second-gradient continua. The measure-theoretical formulation allows a considerable simplification since the existence of an edge stress density is regarded as a special case of a surface stress which is a singular measure with respect to the area. To prove our results, we introduce a particular class of subbodies, namely the sets with curvature measure.
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Degiovanni, M., Marzocchi, A. & Musesti, A. Edge-force densities and second-order powers. Annali di Matematica 185, 81–103 (2006). https://doi.org/10.1007/s10231-004-0129-1
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DOI: https://doi.org/10.1007/s10231-004-0129-1