An adaptive multi-scale approach to the modelling of masonry structures

Ainsworth, Mark and Mihai, Loredana Angela ORCID: https://orcid.org/0000-0003-0863-3729 2009. An adaptive multi-scale approach to the modelling of masonry structures. International Journal for Numerical Methods in Engineering 78 (10) , pp. 1135-1163. 10.1002/nme.2520

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Abstract

We present an adaptive multi-scale approach for predicting the mechanical behaviour of masonry structures modelled as dynamic frictional multi-body contact problems. In this approach, the iterative splitting of the contact problem into normal contact and frictional contact is combined with a semismooth Newton/primal-dual active-set procedure to calculate deformations and openings in the model structures. This algorithm is then coupled with a novel adaptive multi-scale technique involving a macroscopic scale, which is the size of the masonry structure, and a mesoscopic scale, which is the size of the constituents (bricks, stone-blocks), to predict appearance of dislocations and stress distribution in large-scale masonry structures. Comparisons of the numerical results with data from experimental tests and from practical observations illustrate the predictive capability of the multi-scale algorithm.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	dynamic contact; Coulomb friction; finite elements; optimization problems; linear elasticity; masonry structures; contact problem; adaptive algorithm
Publisher:	Wiley-Blackwell
ISSN:	0029-5981
Last Modified:	18 Oct 2022 12:43
URI:	https://orca.cardiff.ac.uk/id/eprint/10998

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