Fundamentals of Enriched Finite Element Methods

Autor Alejandro M. Aragón, C. Armando Duarte
en Limba Engleză Paperback – 13 noi 2023
Fundamentals of Enriched Finite Element Methods provides an overview of the different enriched finite element methods, detailed instruction on their use, and their real-world applications, recommending in what situations they are best implemented. It starts with a concise background on the theory required to understand the underlying principles behind the 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 multiphase, 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 of the book.

  • Reviews various enriched finite element methods, providing pros, cons, and scenarios forbest use
  • Provides step-by-step instruction on implementing these methods
  • Covers the theory of general and enriched finite element methods
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ISBN-13: 9780323855150
ISBN-10: 0323855156
Pagini: 310
Ilustrații: 150 illustrations (50 in full color)
Dimensiuni: 152 x 229 mm

Public țintă

Primary: Researchers working on numerical procedures in sold mechanics; Graduate students in a broad range of engineering disciplines;
Secondary: Professional engineers looking for new FEM techniques;


1. Introduction
2. The Finite Element Method.
3. The p-version of the Finite Element Method
4. The Generalized Finite Element Method
5. Discontinuity-enriched Finite Element Formulations
6. GFEM approximations for fractures
7. Approximations for Weak Discontinuities
8. Immerse boundary (fictitious domain) problems
9. Nonconforming mesh coupling and contact
10. Interface-enriched topology optimization
11. Stability of approximations
12. Computational aspects
13. Approximation theory for partition of unity methods
Appendix. Recollections of the origins of the GFEM

Notă biografică

Alejandro M. Aragón is an Assistant Professor in the Department of Precision and Microsystems Engineering at TU Delft. His research takes place at the boundary of computer science and engineering, with a focus on the creation of new enriched finite element technology and its application for solving complex engineering problems. He has worked on the design of novel materials and structures, the damage response of complex microstructures, the analysis and design of metamaterials, and photonic crystals.