Cauchy interactions between subbodies of a continuous body are introduced in the framework of Measure Theory, extending the class of previously admissible ones. A decomposition theorem into a volume and a surface interaction is proved, as well as characterizations of the single components. Finally, an extension result and a generalized balance law are given.
Marzocchi, A., Musesti, A., Decomposition and integral representation of Cauchy interactions associated with measures, <<CONTINUUM MECHANICS AND THERMODYNAMICS>>, 2001; (13): 149-169. [doi:10.1007/s001610100046] [http://hdl.handle.net/10807/111769]
Decomposition and integral representation of Cauchy interactions associated with measures
Marzocchi, Alfredo;Musesti, Alessandro
2001
Abstract
Cauchy interactions between subbodies of a continuous body are introduced in the framework of Measure Theory, extending the class of previously admissible ones. A decomposition theorem into a volume and a surface interaction is proved, as well as characterizations of the single components. Finally, an extension result and a generalized balance law are given.
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