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Masonry constructions: Mechanical models and numerical applications. Comparison between explicit and numerical solutions (Chap. 6)
This chapter is aimed at assessing the effectiveness of proposed numerical method. Comparisons between explicit and numerical solutions are presented for some equilibrium problems. Some simple solutions to the equilibrium problem of masonry-like solids have been collected, and the exact solutions then compared with the corresponding numerical results obtained via the finite element code COMES-NOSA. Firstly, a circular ring and a spherical container are analyzed, both subjected to uniform radial pressures p(e) and p(i) acting, respectively, on the outer and inner boundary, and explicitly calculate the solution (displacement vector u, infinitesimal strain tensor E ,Cauchy stress tensor T) of the equilibrium problem. Next, the explicit solution to the equilibrium problem for trapezoidal panels made of a no-tension material is determined; the panels are clamped at their bases and subjected to normal and tangential loads distributed on their tops, under the hypothesis of plane stress and the absence of body forces. In all these cases the solution is unique also in terms of displacement and strain. The last three examples of this section deal with the limit analysis of simple masonry structures.
Masonry constructions: Mechanical models and numerical applications. Comparison between explicit and numerical solutions (Chap. 6)
This chapter is aimed at assessing the effectiveness of proposed numerical method. Comparisons between explicit and numerical solutions are presented for some equilibrium problems. Some simple solutions to the equilibrium problem of masonry-like solids have been collected, and the exact solutions then compared with the corresponding numerical results obtained via the finite element code COMES-NOSA. Firstly, a circular ring and a spherical container are analyzed, both subjected to uniform radial pressures p(e) and p(i) acting, respectively, on the outer and inner boundary, and explicitly calculate the solution (displacement vector u, infinitesimal strain tensor E ,Cauchy stress tensor T) of the equilibrium problem. Next, the explicit solution to the equilibrium problem for trapezoidal panels made of a no-tension material is determined; the panels are clamped at their bases and subjected to normal and tangential loads distributed on their tops, under the hypothesis of plane stress and the absence of body forces. In all these cases the solution is unique also in terms of displacement and strain. The last three examples of this section deal with the limit analysis of simple masonry structures.
Masonry constructions: Mechanical models and numerical applications. Comparison between explicit and numerical solutions (Chap. 6)
Mauerwerkbauteile: mechanische Modelle und numerische Anwendungen. Vergleich analytischer und numerischer Lösungen (Kap. 6)
Lucchesi, Massimiliano (author) / Zani, Nicola (author) / Padovani, Cristina (author) / Pasquinelli, Giuseppe (author)
2008
28 Seiten, 29 Bilder
Article/Chapter (Book)
English
Baustatik , Brücke (Bauwerk) , Finite-Elemente-Berechnungsprogramm , Gewölbe , Kreisbogen , Kugelform , Lastverteilung (mechanisch) , Mauerwerk , mechanisches Modell , Methodenvergleich , Normalkraft , numerische Lösung , Platte (Bauteil) , Radiallast , Ring , Schale (Flächentragwerk) , Tangentialkraft , Zusammenbruch , zweiachsige Spannung