A note on equilibrated stress fields for no-tension bodies under gravity

Quarterly of Applied Mathematics

Volumn 65, Issue 4, 2007, Pages 605-624

  Lucchesi, Massimiliano ^a,c   Silhavy M ^b   Zani, Nicola ^a  

^a UNIVERSITY OF FLORENCE   (Italy)

^b UNIVERSITY OF PISA   (Italy)

^c MATHEMATICAL INSTITUTE   (Czech Republic)

Author keywords

Divergence measures; Equilibrium; Masonry panels

Indexed keywords

PHASE EQUILIBRIA; STRESSES;

DIVERGENCE MEASURES; EQUILIBRATED SOLUTIONS; EQUILIBRATED STRESS; EQUILIBRIUM PROBLEM; MASONRY PANELS; NO-TENSION MATERIAL; TWO DIMENSIONAL PANELS; TWO-DIMENSIONAL BODY;

GRAVITATION;

EID: 38549127620     PISSN: 0033569X     EISSN: 15524485     Source Type: Journal    
DOI: 10.1090/S0033-569X-07-01052-5     Document Type: Article

References (17)

1. Del Piero, G. Constitutive equations and compatibility of the external loads for linear elastic masonry-like materials. Meccanica, 24 (1989) 150-162. MR1037468 (91i:73004)
2. Del Piero, G. Limit analysis and no-tension materials. Int. J. Plasticity, 14 (1998) 259-271.
3. Di Pasquale, S. Statica dei solidi murari teorie ed esperienze. (1984) Dipartimento di Costruzioni, Università di Firenze, Pubblicazione n. 27.
4. Federer, H. Geometric measure theory. Springer, New York, 1969. MR0257325 (41:1976)
5. Gurtin, M. E. An introduction to continuum mechanics. Academic Press, Boston, 1981. MR636255 (84c:73001)
6. Heyman, J. The stone skeleton. Internat. J. Solids Structures, 2 (1966) 249-279.
7. Lucchesi, M.; Šilhavý, M.; Zani, N. Singular equilibrated stress fields for no-tension panels. Lecture notes in applied and computational mechanics, vol. 23. Springer, 2005, 255-265.
8. Lucchesi, M.; Šilhavý M.; Zani, N. Stress state for heavy masonry panels. Proceedings of the "Colloquium Lagrangianum," Venezia, 2004. Springer (to appear).
9. Lucchesi, M.; Šilhavý, M.; Zani, N. Stress fields for axisymmetric no-tension bodies. Proceedings of XVIIth AIMETA Congress, Florence, 2005.
10. Lucchesi, M.; Šilhavý, M.; Zani, N. A new class of equilibrated stress fields for no-tension bodies. Journal of Mechanics of Materials and Structures, 1 (2006) 503-539.
11. Lucchesi, M.; Zani, N. On the collapse of masonry panel. Proceedings of VIIth International Seminar on Structural Masonry for Developing Countries, Belo Horizonte, Brazil, 2002.
12. Lucchesi, M.; Zani, N. Some explicit solutions to equilibrium problem for masonry like bodies. Structural Engineering and Mechanics, 16 (2003) 295-316.
13. Lucchesi, M.; Zani, N. Stati di sforzo per pannelli costituiti da materiale non resistente a trazione. Proceedings of XVIth AIMETA Congress, Ferrara, 2003.
14. Polito, L. Equivalenti lineari di equazioni non lineari alle derivate parziali eloro soluzione con dati iniziali. 2001. ADIA 2001-6, Dipartimento di Ingegneria Aerospaziale, Università di Pisa
15. p. Arch. Rational Mech. Anal., 116 (1991) 223-255. MRl132761 (93b:73001)
16. Šilhavý, M. The Mechanics and Thermodynamics of Continuous Media. Springer, Berlin, 1997. MR1423807 (98j:73001)
17. Šilhavý, M. Normal traces of divergence measure vectorfields on fractal boundaries. 2005. (Preprint, Dipartimento di Matematica, University of Pisa, October 2005.) MR2168979 (2007b:74001)