The Isogeometric Analysis is a novel method for the numerical solution of boundary value problems of different types.
Since its introduction in 2005, it has successfully been applied to different problems of structural mechanics, among
others. It offers significant advantages compared to the classical Finite Element Method. Nevertheless, this method is
barely used in practice nowadays. In this contribution we first summarise the fundamentals of Isogeometric Analysis
using Non-uniform rational B-Spline basis functions for both the geometric description of a structure and the numerical
approximation of a boundary value problem solution field (e.g. deformations). We then offer an overview of recent
applications of Isogeometric Analysis in the context of structural engineering with special focus on bridge constructions.
Finally, we highlight potential advantages of applying Isogeometric Analysis in future bridge design. In this contribution,
we focus on the benefits of a CAD-integrated, parametric design and analysis process, the advantages of geometric
reduction of three-dimensional systems as well as the consistent data exchange in a digital workflow. These advantages
are demonstrated using the example of a bridge superstructure.
«The Isogeometric Analysis is a novel method for the numerical solution of boundary value problems of different types.
Since its introduction in 2005, it has successfully been applied to different problems of structural mechanics, among
others. It offers significant advantages compared to the classical Finite Element Method. Nevertheless, this method is
barely used in practice nowadays. In this contribution we first summarise the fundamentals of Isogeometric Analysis
using Non-uniform rat...
»