This contribution presents a simple approach for handling and using singular stress fields, in limit analysis of unilateral 2d masonry-like structures. The method is based on the representation of equilibrated stress fields through Airy’s stress function F. The function F must comply with the prescribed boundary data associated to the given tractions, and has to be concave due to the unilateral constraints on stress. The functions F we consider are only C° continuous, that is, jumps of the gradient, grad F, and singularities of the Hessian, H(F), are possible over 1d sets. The union of such 1d sets can be interpreted as an ideal 1d structure carrying internal axial contact forces, in equilibrium with the given loads.
Singular stress fields in masonry walls / Angelillo, M.; Ceraldi, Carla; Fortunato, A.. - STAMPA. - Vol.I “Applications of Nonlinear Continuum Mechanics in Civil and Material Engineering. Composite materials and reinforcements:(2010), pp. 109-114. (Intervento presentato al convegno 3rd Euro Mediterranean Symposium on Advances in Geomaterial and Structures tenutosi a DJERBA nel 10-12 MAGGIO 2010).
Singular stress fields in masonry walls
CERALDI, CARLA;
2010
Abstract
This contribution presents a simple approach for handling and using singular stress fields, in limit analysis of unilateral 2d masonry-like structures. The method is based on the representation of equilibrated stress fields through Airy’s stress function F. The function F must comply with the prescribed boundary data associated to the given tractions, and has to be concave due to the unilateral constraints on stress. The functions F we consider are only C° continuous, that is, jumps of the gradient, grad F, and singularities of the Hessian, H(F), are possible over 1d sets. The union of such 1d sets can be interpreted as an ideal 1d structure carrying internal axial contact forces, in equilibrium with the given loads.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
