Řešení 3D kontaktních problémů semihladkou Newtonovou metodou s plnou linearizací

Abstract

This thesis addresses the numerical solution of three-dimensional frictionless contact problems involving finite deformations and nonlinear hyperelastic materials. Building upon the previous work of L. Foltyn, which focused on two-dimensional contact problems with small deformations, this work extends the formulation to dynamic problems in three dimensions. The contact problem is formulated in its weak form and solved using a semi-smooth Newton method, which requires the consistent linearization of all involved components. The dual mortar method is employed to model contact between non-matching meshes. The thesis presents the spatial and temporal discretization of the weak formulation, the mortar coupling algorithm, and the consistent linearization of all underlying functions.