Limit Analysis of masonry structures as an unilateral contact problem: a probabilistic approach
DOI:
https://doi.org/10.3989/ic.13.098Keywords:
Masonry structures, unilateral contact, friction, Monte CarloAbstract
Safety assessment of the historic masonry structures is an open problem. In cases where no slip occurs the application of the standard limit analysis theorems constitutes an excellent tool for its simplicity and robustness. However, if the mechanisms of the onset of collapse involve sliding, it is not guaranteed the existence of a single solution, so it is necessary to look for other ways to treat the uncertainty associated with its multiplicity. We propose a simulation by the Monte Carlo Method for ancient masonry structures modeled as an unilateral contact problem between rigid bodies with friction, as a theoretical basis for further analyses by probabilistic methods computationally less expensive.
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