Numerical modeling of three dimensional divided structures by the Non Smooth Contact dynamics method: Application to masonry structures

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.