Decomposition and integral representation of Cauchy interactions associated with measures

Alfredo Marzocchi; Alessandro Musesti

doi:10.1007/s001610100046

Decomposition and integral representation of Cauchy interactions associated with measures

Alfredo Marzocchi, Alessandro Musesti

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

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.

Original language	English
Pages (from-to)	149-169
Number of pages	21
Journal	Continuum Mechanics and Thermodynamics
DOIs	https://doi.org/10.1007/s001610100046
Publication status	Published - 2001

Keywords

Cauchy interactions
balance laws
sets with finite perimeter

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10.1007/s001610100046

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title = "Decomposition and integral representation of Cauchy interactions associated with measures",

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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author = "Alfredo Marzocchi and Alessandro Musesti",

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journal = "Continuum Mechanics and Thermodynamics",

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T1 - Decomposition and integral representation of Cauchy interactions associated with measures

AU - Marzocchi, Alfredo

AU - Musesti, Alessandro

PY - 2001

Y1 - 2001

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AB - 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.

KW - Cauchy interactions

KW - balance laws

KW - sets with finite perimeter

KW - Cauchy interactions

KW - balance laws

KW - sets with finite perimeter

UR - http://hdl.handle.net/10807/111769

U2 - 10.1007/s001610100046

DO - 10.1007/s001610100046

M3 - Article

SN - 0935-1175

SP - 149

EP - 169

JO - Continuum Mechanics and Thermodynamics

JF - Continuum Mechanics and Thermodynamics

ER -

Decomposition and integral representation of Cauchy interactions associated with measures

Abstract

Keywords

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