Giulia Delo
Elastic-plastic-softening evolutionary analysis of masonry arches: The application of the cohesive/overlapping crack model.
Rel. Alberto Carpinteri, Federico Accornero, Renato Cafarelli, Stefano Mariani. Politecnico di Torino, Corso di laurea magistrale in Ingegneria Civile, 2021
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Abstract
The structural behaviour of masonry arches has been deeply investigated over the centuries, starting with the first theoretical approach by Hook in 1675. Later, with the introduction of the Theory of Elasticity, the graphical procedure illustrated by Méry (1840) gained high recognition in the field of arch design. More recently, following the formulation by Heyman (1966), which is based on Plastic Theory concepts, the modern Limit Analysis was introduced. Nevertheless, all these models are not able to describe the behaviour of arch structures in a comprehensive way, since they are not capable to predict the damage evolutionary process that affects the load bearing capacity of masonry arches.
Recent studies have provided a model to analyse masonry arches based on Linear Elastic Fracture Mechanics, leading to the definition of the fracturing benefit, which, analogously to the plastic benefit for Limit Analysis, describes how the arch thrust line is affected by crack formation and the maximum admissible load evaluated by means of Fracture Mechanics is larger than the load predicted by Theory of Elasticity
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