Orlik, JuliaJuliaOrlikNam, AlexanderAlexanderNam2022-03-052022-03-052008https://publica.fraunhofer.de/handle/publica/25248910.1002/pamm.200810749We consider a contact problem between a macroscopic solid with a smooth boundary and a technical textile, while the textile has a periodic microscopic structure and microscopically rough surface. Two-scale homogenization approach is applied to the problem. The microscopic solution is approximated in terms of macroscopic solution and some concentration factor, given as a solution of auxiliary boundary value or contact problems of elasticity on the periodicity cell. Local friction condition is represented as a continuous non-linear functional over the stress field. Two-scale convergence is used to prove the convergence of friction functional. The macroscopic initial frictional limit is found.en003510006519journal article