The Cauchy stress theorem for bodies with finite perimeter

Alfredo Marzocchi; Alessandro Musesti

Rendiconti del Seminario Matematico della Università di Padova (2003)

  • Volume: 109, page 1-11
  • ISSN: 0041-8994

How to cite

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Marzocchi, Alfredo, and Musesti, Alessandro. "The Cauchy stress theorem for bodies with finite perimeter." Rendiconti del Seminario Matematico della Università di Padova 109 (2003): 1-11. <http://eudml.org/doc/108599>.

@article{Marzocchi2003,
author = {Marzocchi, Alfredo, Musesti, Alessandro},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {1-11},
publisher = {Seminario Matematico of the University of Padua},
title = {The Cauchy stress theorem for bodies with finite perimeter},
url = {http://eudml.org/doc/108599},
volume = {109},
year = {2003},
}

TY - JOUR
AU - Marzocchi, Alfredo
AU - Musesti, Alessandro
TI - The Cauchy stress theorem for bodies with finite perimeter
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2003
PB - Seminario Matematico of the University of Padua
VL - 109
SP - 1
EP - 11
LA - eng
UR - http://eudml.org/doc/108599
ER -

References

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  1. [BF] C. BANFI - M. FABRIZIO, Sul concetto di sottocorpo nella meccanica dei continui, Rend. Acc. Naz. Lincei, LXVI (1979), pp. 136-142. Zbl0446.73006MR606078
  2. [DMM] M. DEGIOVANNI - A. MARZOCCHI - A. MUSESTI, Cauchy fluxes associated with tensor fields having divergence measure, Arch. Rational Mech. Anal., 147 (1999), pp. 197-223. Zbl0933.74007MR1709215
  3. [F] H. FEDERER, Geometric Measure Theory, Springer-Verlag, Berlin, 1969. Zbl0176.00801MR257325
  4. [GWZ] M. E. GURTIN - W. O. WILLIAMS - W. P. ZIEMER, Geometric measure theory and the axioms of continuum thermodynamics, Arch. Rational Mech. Anal., 92 (1986), pp. 1-22. Zbl0599.73002MR816619
  5. [MM1] A. MARZOCCHI - A. MUSESTI, Decomposition and integral representation of Cauchy interactions associated with measures, Cont. Mech. Thermodyn., 13 (2001), pp. 149-169. Zbl1019.74003MR1857126
  6. [MM2] A. MARZOCCHI - A. MUSESTI, On the measure-theoretic foundations of the Second Law of Thermodynamics, Math. Models Methods Appl. Sci., 12 (2002), pp. 721-736. Zbl1205.80003MR1909424
  7. [Š1] M. ŠILHAVÝ, The existence of the flux vector and the divergence theorem for general Cauchy fluxes, Arch. Rational Mech. Anal., 90 (1985), pp. 195-211. Zbl0593.73007MR803773
  8. [Š2] M. ŠILHAVÝ, Cauchy’s stress theorem and tensor fields with divergences in Lp , Arch. Rational Mech. Anal., 116 (1991), pp. 223-255. Zbl0776.73003MR1132761
  9. [Z] W. P. ZIEMER, Cauchy flux and sets of finite perimeter, Arch. Rational Mech. Anal., 84 (1983), pp. 189-201. Zbl0531.73005MR714974

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