Title: On blocks detection in unilateral masonry-like structures: a rigid-elastic displacement approach
Authors: Ida Mascolo; Antonio Gesualdo; Carlo Olivieri; Antonio Fortunato
Addresses: Department of Civil Engineering, University of Salerno, via Giovanni Paolo II, 132, Fisciano (SA) 84084, Italy ' Department of Structures for Engineering and Architecture, University of Naples, Federico II, via Claudio, 21, Naples (NA) 80125, Italy ' Department of Civil Engineering, University of Salerno, via Giovanni Paolo II, 132, Fisciano (SA) 84084, Italy ' Department of Civil Engineering, University of Salerno, via Giovanni Paolo II, 132, Fisciano (SA) 84084, Italy
Abstract: In the present paper, a rigid block model for detection and identification of the cracks' pattern in a masonry-like structure subjected to dead loads and finite displacements is presented. The equilibrium problem is formulated by means of a suitable variational formulation for the boundary value problem of normal elastic no-tension material. Specifically, static equilibrium states of masonry-like structures are obtained through the linear conic optimisation of total potential energy. The independent variables of the optimisation problem are elastic strains and displacements, both assumed to be continuous. Indeed, the displacement and the strain fields are described in terms of nodal values through a FEM-like formulation and both of them are treated as independent variables of the optimisation problem. The study provides the basis for future developments in the field of mechanics and mechanisms of fracture. Two simple case studies are also discussed in order to tap the promising potential of the proposed approach.
Keywords: normal elastic no-tension material; finite element method; rigid-elastic continuum model; linear conic optimisation.
International Journal of Masonry Research and Innovation, 2022 Vol.7 No.4, pp.395 - 405
Published online: 01 Jul 2022 *Full-text access for editors Access for subscribers Purchase this article Comment on this article