C. Armando Duarte, Angelo Simone, Alejandro Aragon

Fundamentals of Enriched Finite Element Methods

• Broschiertes Buch

Produktbeschreibung

This book provides an overview of the different enriched finite element methods, detailed instruction on their use, and also looks at their real-world applications, recommending in what situations they're best implemented. It starts with a concise background on the theory required to understand the underlying functioning principles behind enriched finite element methods before outlining detailed instruction on implementation of the techniques in standard displacement-based finite element codes. The strengths and weaknesses of each are discussed, as are computer implementation details, including a standalone generalized finite element package, written in Python. The applications of the methods to a range of scenarios, including multi-phase, fracture, multiscale, and immersed boundary (fictitious domain) problems are covered, and readers can find ready-to-use code, simulation videos, and other useful resources on the companion website to the book.

Produktdetails

• Verlag: ELSEVIER
• Erscheinungstermin: 1. März 2023
• Englisch
• ISBN-13: 9780323855150
• ISBN-10: 0323855156
• Artikelnr.: 63246412

Autorenporträt

C. Armando Duarte is a Professor in the Department of Civil and Environmental Engineering at the University of Illinois at Urbana-Champaign. Prior to joining the UIUC he was an assistant professor in the Department of Mechanical Engineering at the University of Alberta, Canada and a visiting professor in the Department of Structural Engineering at the University of Sao Paulo, Brazil. He has five years of industrial experience and has made fundamental and sustained contributions to the fields of computational mechanics and methods, in particular to development of Meshfree, Partition of Unity, and Generalized/eXtended Finite Element Methods. He proposed the first partition of unity method to solve fracture problems and pioneered the use of asymptotic solutions of elasticity equations of cracks as enrichment functions for this class of methods. His group has developed a 3-D GFEM for the simulation of hydraulic fracture propagation, interaction, and coalescence, and he has published more than 95 scientific articles and book chapters, and also co-edited 2 books on computational methods. He has papers featured on the ScienceDirect top 25 Hottest Articles of Computer Methods in Applied Mechanics and Engineering and Engineering Fracture Mechanics.

Inhaltsangabe

1. Introduction to Enriched Finite Element Methods
2. Review of the Finite Element Method
3. The P-Version of the Finite Element Method
4. The Generalized Finite Element Method
5. The Discontinuity-Enriched Finite Element Method
6. Approximation Theory for PoU Methods
7. Computational Aspects of the Generalized Finite Element Method
8. Approximations for Weak Discontinuities
9. Generalized Finite Element Method Approximations for Fractures
10. Applications to Microstructural Features
11. Bridging Scales with the Generalized Finite Element Method