An Isogeometric analysis based method for frictional elastic contact problems with randomly rough surfaces

The problem addressed in this paper concerns the frictional contact between an elastomer and a rigid body with randomly rough surfaces. work is accomplished on basis of two crucial elements: framework for generating random geometries robust algorithm, both which are realised approach Isogeometric analysis (IGA) its high accuracy robustness. For former, new geometry modelling proposed, combines field generation based Karhunen–Loève expansion theory Non-Uniform Rational B-Spline (NURBS) interpolation method. latter, mortar-based algorithm 2D large deformation regime adopted incorporating modified closest point projection method detection contact. Numerical experiments conducted several settings such as ‘rough–smooth’, ‘smooth–rough’ ‘rough–rough’ contact, depending side pair surface belongs to. ratio global coefficient friction to prescribed local one true area nominal characterised under these settings, factors like root mean square roughness correlation length external traction discovered have significant influence ratios.