A thrust network approach to the equilibrium problem of unreinforced masonry vaults via polyhedral stress functions

Mechanics Research Communications

Volumn 37, Issue 2, 2010, Pages 198-204

  Fraternali, Fernando ^a  

^a UNIVERSITY OF SALERNO   (Italy)

Author keywords

Crack pattern; Masonry vaults; Mesh adaption; No tension model; Stress function; Thrust network approach

Indexed keywords

CRACK PATTERNS; MASONRY VAULTS; MESH ADAPTION; STRESS FUNCTIONS; TENSION MODELS;

COMPRESSIBLE FLOW; CRACKS; FOUNDATIONS; MEMBRANE STRUCTURES; NUMERICAL ANALYSIS; STRESSES;

MASONRY MATERIALS;

EID: 77649337752     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2009.12.010     Document Type: Article

References (33)

1. Andreu A., Gil L., and Roca P. Computational analysis of masonry structures with a funicular model. J. Eng. Mech. - ASCE 133 4 (2007) 473-480
2. Avis D., and Fukuda K. A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra. Discrete Comput. Geomet. 8 (1992) 295-313
3. Block, P., 2009. Thrust network analysis - exploring three-dimensional equilibrium. Ph.D. Dissertation, Massachusetts Institute of Technology, USA.
4. Block, P., Ochsendorf, J., 2005. Interactive thrust line analysis for masonry structures. In: Mochi, G. (Ed.), International Seminar on Theory and Practice of Construction: Knowledge, Means, and Models, Ravenna, Italy, pp. 13-24.
5. Block P., and Ochsendorf J. Thrust network analysis: a new methodology for three-dimensional equilibrium. IASS J. 48 3 (2007) 167-173
6. Boothby T.E. Analysis of masonry arches and vaults. Prog. Struct. Eng. Mater. 3 (2001) 246-256
7. Ciarlet P.G. The Finite Element Method for Elliptic Problems (1978), North-Holland, Amsterdam
8. Como, M., 2010. Statica delle costruzioni in muratura. Aracne Editrice, Roma.
9. Del Piero G. Constitutive equations and compatibility of the external loads for linear elastic masonry-like materials. Meccanica 24 (1989) 150-162
10. Del Piero G. Limit analysis and no-tension materials. Int. J. Plast. 14 (1998) 259-271
11. Di Pasquale, S., 1975. Scienza delle costruzioni. Introduzione alla progettazione strutturale. Tamburini, Milano.
12. Formato, F., 2007. A theoretical and experimental study on the statics of masonry vaults. Ph.D. Dissertation, University of Salerno, Italy.
13. Fraternali F. Complementary energy variational approach for plane elastic problems with singularities. Theor. Appl. Fract. Mech. 35 (2001) 129-135
14. Fraternali F., Angelillo M., and Fortunato A. A lumped stress method for plane elastic problems and the discrete-continuum approximation. Int. J. Solids Struct. 39 (2002) 6211-6240
15. Fraternali, F., Angelillo, M., Rocchetta, G., 2002b. On the stress skeleton of masonry vaults and domes, PACAM VII, January 2-5, 2002, Temuco, Chile, pp. 369-372.
16. Giaquinta M., and Giusti G. Researches on the equilibrium of masonry structures. Arch. Ration. Mech. Anal. 88 (1985) 359-392
17. Heyman J. The stone skeleton. Int. J. Solids Struct. 2 (1966) 249-279
18. Heyman J. Equilibrium of Shell Structures. Oxford Engineering Science Series (1977), Clarendon Press, Oxford
19. Heyman J. The Stone Skeleton (1995), Cambridge University Press, Cambridge
20. Huerta, S., 2001. Mechanics of masonry vaults: the equilibrium approach. In: Lourenço, P.B., Roca, P. (Eds.), Proceedings of Historical Constructions, Guimarães, pp. 47-69.
21. Kilian A. Steering of form. IASS J. 48 4 (2007) 17-21
22. Kilian A., and Ochsendorf J. Particle-spring systems for structural form finding. IASS J. 46 2 (2005) 77-85
23. Lucchesi M., Padovani C., Pasquinelli G., and Zani N. Masonry Constructions: Mechanical Models and Numerical Applications. Lecture Notes in Applied and Computational Mechanics vol. 39 (2008), Springer-Verlag, Berlin, Heidelberg
24. Mansfield, E.H., 1968. Tension field theory. In: Hetenyi, M., Vincenti, W.G. (Eds.), Proceedings of the 12th International Congress on Applied Mechanics, pp. 305-320.
25. Ochsendorf J., and Block P. Designing unreinforced masonry. In: Allen E., and Zalewski W. (Eds). Form and Forces: Designing Efficient, Expressive Structures (2009), John Wiley Sons, New York (Chapter 8)
26. O'Dwyer D. Funicular analysis of masonry vaults. Int. J. Solids Struct. 73 (1999) 187-197
27. Poleni G. Memorie istoriche della gran cupola del Tempio Vaticano (1991), Edizioni Kappa, Rome, Italy (Anastatic reprint of the original edition of 1748)
28. Steigmann D.J. Tension-field theory. Proc. Roy. Soc. Lond., Ser. A, Math. Phys. Sci. 429 1876 (1990) 141-173
29. Tomasoni E. Le volte in muratura negli edifici storici. Tecniche costruttive e comportamento strutturale (2008), Aracne Editrice, Roma, Italy
30. Tomlow, J., Graefe, R., Otto, F., Szeemann, H. 1989. Das Modell/The Model/El Modelo. Number 34 in Mitteilungen des Instituts for Leichte Flchentragwerke (IL). Universität Stuttgart, Stuttgart.
31. Ungewitter G. Lehrbuch der gotischen Konstruktionen (1890), Weigel Nachfolger, Leipzig
32. Wittmann W. Zur Theorie der Gewölbe. Z. Bauwesen 26 (1879) 61-74
33. Wong Y.W., and Pellegrino S. Wrinkled membranes. Part I: experiments; part II: analytical models; part III: numerical simulations. J. Mech. Mater. Struct. 1 (2006) 1-93