Statics of Bodies Made of a Compressionally Rigid No Tension Material
The paper gives the basics of Statics of masonry bodies and extends to the continuum the compressionally rigid no tension model, usually applied to systems of arches and piers. Admissible stress, strains and admissible crack openings are defined together with some appropriate stress-strain inequalities. In this framework the virtual work equation is properly formulated by using a new simple approach that considers the new boundary of the body including the cracks surfaces. Then a condition on the loads, necessary and sufficient to the existence of the admissible equilibrium, is proven; this condition is very useful to deal with the collapse analysis. The paper ends pointing out some specific features of the behaviour of masonry structures, as the no existence of self stresses or the no existence of failures due to the occurrence of costraints settlements.
KeywordsVariational Inequality Virtual Work Masonry Structure Mechanism Displacement Tension Model
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- 3.Como, M., Grimaldi, A.: An unilateral model for the limit analysis of masonry walls. In: Del Piero, G., Maceri, F. (eds.) Unilateral Problems in Structural Analysis, CISM Courses and Lectures 288. Springer, Heidelberg (1985)Google Scholar
- 4.Volpert, A.I., Hudjaev, S.I.: Analysis in classes of discontinuous functions and equations of mathematical physics. Martinus Nijhoff Publ., Dordrecht (1985)Google Scholar
- 5.Romano, G., Romano, M.: Elastostatics of structures with unilateral conditions on strains and displacements. In: Del Piero, G., Maceri, F. (eds.) Unilateral Problems in Structural Analysis, CISM Courses and Lectures 288. Springer, Wien (1985)Google Scholar
- 6.Romano, G., Sacco, E.: Sul calcolo di strutture murarie non resistenti a trazione. Atti Istituto Scienza delle Costruzioni, Università Federico II Napoli (1986) (in Italian)Google Scholar
- 7.Como, M.: On the role played by settlements in the statics of masonry monuments. In: Viggiani, C. (ed.) Geotechnical Engineering for the Preservation of Monuments and Historical Sites. Balkema, Rotterdam (1997)Google Scholar
- 8.Como, M.: Minimum and maximum thrust states in statics of ancient masonry bridges. In: Sinopoli, A. (ed.) Arch Bridges: History, Analysis, Assessment, maintenance and repair, pp. 133–138. Balkema, Rotterdam (1998)Google Scholar