README file
Data Set Title: Dataset of the paper "A single-surface multi-failure strength domain for masonry"
Data Set Author/s: 
Bertani, Gregorio		University of Bologna	
Patruno, Luca			University of Bologna
D'Altri, Antonio Maria	University of Bologna	0000-0002-4932-4554
Castellazzi, Giovanni		University of Bologna	
de Miranda, Stefano		University of Bologna

Data Set Contact Person/s: 
D'Altri, Antonio Maria	University of Bologna	am.daltri@unibo.it

Data Set License: this data set is distributed under a Creative Commons Attribution 4.0 International (CC BY 4.0) license, https://creativecommons.org/licenses/by/4.0/

Publication Year: 2024
Project Info: HOLAHERIS (A holistic structural analysis method for cultural heritage structures conservation), funded by European Union, Horizon 2020 Programme. Grant Agreement no. 101029792; https://site.unibo.it/holaheris/en.  
Data set Contents
The data set consists of a compressed folder, named HOLAHERIS_StrengthDomain-data.zip, containing:
•	1 folder “Codes” containing
with the Yield_functions_plot.m (main) file to generate the masonry strength domain, and other functions used in the generation, i.e., Yield_functions.m, Gradients.m and Hessian.m
The code files (.m) can be run with Matlab or the open-source software GNU Octave (https://octave.org/).

1 folder “Figures” containing 7 .fig files with data related to strength domain generated with the proposed procedure. The figures file (.fig) can be opened with Matlab or the open-source software GNU Octave (https://octave.org/).
softmin_intersection_results_cohesion_sx_m2.fig
softmin_intersection_results_cohesion_sx_m4.fig
softmin_intersection_results_cohesion_sx_m6.fig
softmin_intersection_results_cohesion_tau_0.fig
softmin_page_comparison_calderini_stefanou_0deg.fig
softmin_page_comparison_calderini_stefanou_22p5deg.fig
softmin_page_comparison_calderini_stefanou_45deg.fig

As well as 1 README file in .rtf format
HOLAHERIS_ StrengthDomain_README.rtf
Data set Documentation
Abstract
This dataset, developed in the framework of the H2020 HOLAHERIS project, contains code and results related to a single-surface multi-failure strength domain formulation for masonry. This formulation represents a straightforward method for establishing a unified strength domain to analyze the in-plane behavior of masonry structures. The method lays the groundwork for developing homogeneous continuum models and relies on micro-mechanical analyses using a block-based model for masonry. In this model, blocks are treated as finite strength continuum bodies interacting through zero-thickness interfaces. The strength domain is derived by identifying three failure mechanisms: crushing failure, joint failure, and mixed joint-block failure. Each mechanism's limit surface is determined based on limit equilibrium principles, with a novel rational treatment for mixed mechanisms. These limit surfaces are intersected to create a multi-surface strength domain, which is then simplified into a single-surface using the RealSoftMax function, preserving the explicit distinction between all failure mechanisms. The resulting strength domain inherits material parameters from the block-based model. Generated strength domains are also collected herein, together with their comparison with state-of-the-art approaches.

Notes 
The data, models and results are presented in the following publication:
Bertani, G., Patruno, L., D’Altri, A. M., Castellazzi, G., & de Miranda, S. (2024). A single-surface multi-failure strength domain for masonry. International Journal of Solids and Structures, 288, 112624. https://doi.org/10.1016/j.ijsolstr.2023.112624