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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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