Numerical Tools for Isogeometric Analysis

The present book deals with the development of robust numerical tools for Isogeometric Analysis suitable for problems of solid mechanics in the nonlinear regime. To that end, a new solid-shell element, based on the Assumed Natural Strain method, is presented for the analysis of thin shell-like structures. The formulation is extensively validated using a set of well-known benchmark problems available in the literature, in both linear and nonlinear (geometric and material) regimes. It is also proposed an alternative formulation which is focused on the alleviation of the volumetric locking pathology in linear elastic problems. In addition, an introductory study in the field of contact mechanics, in the context of Isogeometric Analysis, is also presented, with special focus on the implementation of a the Point-to-Segment algorithm. All the methodologies presented in the current work were implemented in a in-house code, together with several pre- and post-processing tools.

Autorentext

In 2009 Joäo Caseiro finished his MSc Degree in Mechanical Engineering at the University of Aveiro, Portugal. He then worked as a Research Fellow in structural optimization for aeronautical and manufacturing industries. He started his PhD in 2011 on the development of IGA formulations, at the same University, having obtained his Degree in 2014.