IGA: Non-Invasive Coupling with FEM and Regularization of Digital Image Correlation Problems, Volume 2

Isogeometric analysis (IGA) is a powerful tool for computer-aided design and finite element analysis, combining high-order and smooth spline functions to represent geometry and approximate solution fields. This book proposes to use IGA jointly with standard finite element methods (FEM) to improve the solution of problems that require more regularity, such as multiscale global/local simulations in solid mechanics and regularizing the inverse problem of FE digital image correlation in experimental mechanics.

Format: Hardback
Length: 240 pages
Publication date: 24 August 2023
Publisher: ISTE Ltd and John Wiley & Sons Inc

Isogeometric analysis (IGA) is a groundbreaking approach in computer-aided design (CAD) and finite element analysis (FEA) that leverages the same high-order and smooth spline functions to represent geometry and approximate solution fields. With its origins dating back nearly two decades, IGA has emerged as a highly competitive field in scientific computing, with substantial advancements being reported in recent years.

In this book, we propose a novel approach to combine IGA with standard finite element methods (FEM). We view IGA as a projection of FEM onto a more regular reduced basis, offering a means to enhance the solution of problems that demand greater regularity. By shedding light on the relationship between IGA and FEM, we demonstrate how IGA can be seamlessly integrated into an FE code to improve the accuracy and efficiency of solving problems that require more regular solutions.

One illustrative example of this integration is the use of IGA with FEM in non-invasive multiscale global/local simulations in solid mechanics. By leveraging the strengths of both methods, we can achieve accurate and robust simulations that capture the complex behavior of structures at multiple scales. Furthermore, we demonstrate that IGA can regularize the inverse problem of FE digital image correlation in experimental mechanics, providing a valuable tool for analyzing experimental data and extracting meaningful insights.

Overall, this book presents a comprehensive exploration of IGA and its integration with FEM, offering researchers and practitioners a powerful set of tools for solving complex engineering problems. By leveraging the synergies between IGA and FEM, we can achieve more accurate and efficient solutions to a wide range of engineering challenges, paving the way for the future of computational mechanics.

Weight: 603g
ISBN-13: 9781786308252