Contact Modelling in Isogeometric Analysis: Application to Sheet Metal Forming Processes

Abstract

Isogeometric Analysis (IGA) has been growing in popularity in the past few years essentially due to the extra exibility it introduces with the use of higher degrees in the basis functions leading to higher convergence rates. IGA also o ers the capability of easily reproducing discontinuous displacement and/or strain elds by just manipulating the multiplicity of the knot parametric coordinates. Another advantage of IGA is that it uses the Non-Uniform Rational B-Splines (NURBS) basis functions, that are very common in CAD solid modelling, and consequently it makes easier the transition from CAD models to numerical analysis. In this work it is explored the contact analysis in IGA for both implicit and explicit time integration schemes. Special focus will be given on contact search and contact detection techniques under NURBS patches for both the rigid tools and the deformed sheet blank.