Jean, Michel; Acary, Vincent; Monerie, Yann Non-smooth contact dynamics approach to cohesive materials. (English) Zbl 1011.74051 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 359, No. 1789, 2497-2518 (2001). Summary: The main features of the non-smooth contact dynamics (NSCD) method – the dynamical equation, the Signorini relation as a non-smooth modelling of unilateral contact, and the frictional Coulomb’s law treated with fully implicit algorithms – are briefly presented in this paper. By mere changes of variables, it appears that a large class of interface problems, including cohesive interface problems, may be solved using Signorini, Coulomb and standard NSCD algorithms. Emphasis is put on contact between deformable bodies. Examples illustrating numerical simulation are given for fibre-reinforced materials and for buildings made of blocks. Cited in 5 Documents MSC: 74M15 Contact in solid mechanics 74M10 Friction in solid mechanics Keywords:dry friction; non-smooth contact dynamics; dynamical equation; Signorini relation; unilateral contact; frictional Coulomb’s law; cohesive interface problems; fibre-reinforced materials PDFBibTeX XMLCite \textit{M. Jean} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 359, No. 1789, 2497--2518 (2001; Zbl 1011.74051) Full Text: DOI