Mechanical behavior under seismic loading of masonries including non-convex contact surfaces

Abstract eng:
The contact between stone blocks in the construction industry is generally plane, or composed of associations of planes. Sometimes curved surfaces are used. In this last case, the representation of contacts by a plane is inappropriate: a first improvement consists in a discretization of these surfaces. Using the first versions of LMGC90 dealing only with convex solids, each non convex block was considered as an association of convex blocks. This software based on the Non-Smooth Contact Dynamics method proposed by J.J. Moreau. Another way of modelling suggested here for the contact surfaces, consists in modelling each type of joint statically determined by localised punctual joints in parallel, called principal specific joints and in solving the problem globally. It is possible to enrich the models by adding additional punctual joints whose determination of normal force depends on the principal unknown normal forces. The joints are initially defined as reference joints, then, assuming a Coulomb friction law, the tangential actions due to friction are given in the tangent space of the admissible movement. In the case of the cupola of Junas, the main contact forces are applied on conical surfaces, but the blocks are also in planar contact on their sides with their neighbours of the same ring. Without mortar and with no friction on the conical surfaces, a rotation movement could exist around the axis of the cupola. In the case of a dry contact, the friction imposes a tangential action opposed to this movement.

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