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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 66
COMPUTATIONAL MECHANICS: TECHNIQUES AND DEVELOPMENTS
Edited by: B.H.V. Topping
Paper IX.1

Numerical Modelling of Three Dimensional Divided Structure by the Non-Smooth Contact Dynamics Method: Application to Masonry Structures

V. Acary and M. Jean

Laboratoire de Mécanique et d'Acoustique, Université de la Méditerranée (Aix-Marseille II), Marseille, France

Full Bibliographic Reference for this paper
V. Acary, M. Jean, "Numerical Modelling of Three Dimensional Divided Structure by the Non-Smooth Contact Dynamics Method: Application to Masonry Structures", in B.H.V. Topping, (Editor), "Computational Mechanics: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 211-222, 2000. doi:10.4203/ccp.66.9.1
Abstract
This paper outlines a computational method for modelling 3D divided structures by means of interface models, characterized by unilateral properties. The theoretical framework belongs to the field of non-smooth mechanics which aims at solving problems where severe time and space discontinuities are encountered. Multi-valued and stiff interfaces laws, e.g., Signorini's condition and Coulomb's friction, are solved using tools and formalisms provided by convex analysis. This general framework is adapted to micro-modelling approach of masonry structures, specifying interfaces models to mortar joints behaviour. The various stages in the development and implementation of an algorithm are delineated. Reaching a quasistatic equilibrium of floating structure is discussed and some numerical applications are presented on didactic tests.

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