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.
Original language | English |
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Pages (from-to) | 1135-1163 |
Number of pages | 28 |
Journal | International Journal for Numerical Methods in Engineering |
Volume | 78 |
Issue number | 10 |
DOIs | |
Publication status | Published - 4 Jun 2009 |
Keywords
- dynamic contact
- Coulomb friction
- finite elements
- optimization problems
- linear elasticity
- masonry structures
- contact problem
- adaptive algorithm