Nowadays, as more unconventional resources are being extracted worldwide, proper modeling of the underlying well-stimulation techniques becomes more important. One of the main well-stimulation techniques, especially for tight shale gas formations, is hydraulic fracturing. During this process, a fluid is injected into the formation at an extremely high pressure to initiate a network of fractures. The generated fractures are assumed to remain open, but this is not always the case. To accurately model the situation when fractures close back, one has to consider a coupled flow with geomechanics problem along with contact mechanics boundary conditions [3]. Motivated by that, in this work, we extend the well-known fixed-stress split coupling scheme [1] to include frictionless contact mechanics boundary conditions for a poroelastic Biot model. In this model, a frictionless contact is assumed with the well-known Signorini condition in a form with a gap function [4, 2]. The convergence of the extended fixed-stress split scheme is established based on a fixed-point Banach contraction argument giving rise to the linear convergence of the scheme. REFERENCES [1] T. Almani, K. Kumar, A. Dogru, G. Singh, and M.F. Wheeler. Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics. Computer Methods in Applied Mechanics and Engineering, 311:180 – 207, 2016. [2] L. Banz and F. Bertrand. Contact problems in porous media. arXiv preprint arXiv:2302.02600, 2023. [3] M. V. de Hoop and K. Kumar. Coupling of flow, contact mechanics and friction, generating waves in a fractured porous medium. arXiv preprint arXiv:2308.04338, 2023. [4] Mircea Sofonea and Andaluzia Matei. Mathematical Models in Contact Mechanics. London Mathematical Society Lecture Note Series. Cambridge University Press, 2012.