An Insight on NURBS Based Isogeometric Analysis, Its Current Status and Involvement in Mechanical Applications

On the validity of the Reynolds equation for the simulation of wet grinding processes

“…The isogeometric analysis first introduced by Hughes et al [7] is a procedure that uses the same functions both for the description of the geometry and for the representation of the solution. Intended as a concept for simplifying FEM modelling by combining geometry description and calculation, in most cases the representation of the geometry via a parametrisation using NURBS forms the basis [8]. However, the use of other basis functions such as B-Splines or T-Splines is also possible, as are other groups of functions, if the isogeometric analysis is defined only by the use of the same functions for geometry description and solution approximation [8].…”

“…Intended as a concept for simplifying FEM modelling by combining geometry description and calculation, in most cases the representation of the geometry via a parametrisation using NURBS forms the basis [8]. However, the use of other basis functions such as B-Splines or T-Splines is also possible, as are other groups of functions, if the isogeometric analysis is defined only by the use of the same functions for geometry description and solution approximation [8]. The advantage of isogeometric analysis using NURBS or B-/T-Splines is that it is possible to describe the geometry exactly using only a few discrete control points.…”