LiABlock_3D: A Software Tool for Collapse Mechanism Analysis of Historic Masonry Structures

ABSTRACT

A rigid block model is proposed for collapse mechanism analysis of three-dimensional historic masonry structures subjected to point live loads, seismic-induced lateral loads and settlements. The model is made of polyhedral rigid blocks interacting at no-tension, frictional contact interfaces and can be used to represent complex assemblages and bond patterns. The formulation and the solution procedure of the underlying limit equilibrium analysis problem were implemented in LiABlock_3D, a MATLAB based tool with Graphical User Interface (GUI). The software was designed to import the geometric model from commercial Computer Aided Design (CAD) tools, thus allowing high flexibility of structural configurations and masonry patterns. The graphical interface is also used to define material properties as well as boundary and loading conditions. Numerical and experimental case studies from the literature were analyzed to show the ability of the model developed in predicting the collapse behavior of a variety of structural typologies. Those include arches, vaults, and domes under vertical and horizontal live loads and spreading supports. A two-story masonry building with a barrel vault at first level is also analyzed under variable lateral loads and support movement. Potentialities and limitations of the proposed formulation and tool are discussed on the basis of the results obtained and also in terms of computational efficiency.

KEYWORDS:

• Collapse mechanism analysis
• frictional contacts
• graphical user interface
• historic masonry structures
• live loads
• mathematical programming
• moving supports
• polyhedral rigid blocks

Acknowledgments

The financial support of PRIN 2015 Programme by the Ministry of Education, University and Research (MIUR) is gratefully acknowledged for funding the research project “Protecting the Cultural Heritage from water-soil interaction related threats” (Prot. No. 2015EAM9S5), which is the main framework of the study presented in this article.

The financial support of the research project DPC-ReLUIS/Line: Masonry Structures (2014-2018) is also acknowledged.

Additional information

Funding

This work was supported by the Ministry of Education, University and Research(MIUR) [2015EAM9S5] and by the program of the ‘ConsortiumReLUIS - Italian Department of Civil Protection’ (ReLUIS-DPC2014-2018 Project), Research Line Masonry structures.