Fundamentals of Enriched Finite Element Methods

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. Reviews various enriched finite element methods, providing pros, cons, and scenarios for best use Provides step-by-step instruction on implementing these methods Covers the theory of general and enriched finite element methods Discusses the application of the methods to a range of scenarios including multi-phase, fracture, multiscale, and immerse boundary problems Includes access to a companion website featuring code, simulation examples, and other practical tools INDICE: 1. Introduction to Enriched Finite Element Methods2. Review of the Finite Element Method3. The P-Version of the Finite Element Method4. The Generalized Finite Element Method5. The Discontinuity-Enriched Finite Element Method6. Approximation Theory for PoU Methods7. Computational Aspects of the Generalized Finite Element Method8. Approximations for Weak Discontinuities9. Generalized Finite Element Method Approximations for Fractures10. Applications to Microstructural Features11. Bridging Scales with the Generalized Finite Element Method

• ISBN: 978-0-323-85515-0
• Editorial: Elsevier
• Encuadernacion: Rústica
• Páginas: 260
• Fecha Publicación: 01/03/2023
• Nº Volúmenes: 1
• Idioma: Inglés