Fundamentals of Enriched Finite Element Methods (eBook)

Fundamentals of Enriched Finite Element Methods 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 forbest use - Provides step-by-step instruction on implementing these methods - Covers the theory of general and enriched finite element methods

Alejandro M. Arag¢n is an Associate Professor in the Department of Precision and Microsystems Engineering at Delft University of Technology in the Netherlands. His research stands at the intersection of engineering and computer science, with a primary focus on pioneering novel enriched finite element methods. This cutting-edge technology, seamlessly integrated in widely applicable software, is leveraged to address complex engineering challenges. Specifically, Dr. Arag¢n's innovations have been employed in the analysis and design of a diverse spectrum of (meta)materials and structures, including biomimetic and composite materials, as well as acoustic/elastic metamaterials, photonic/phononic crystals, and even edible fracture metamaterials. Since 2015 he has also been teaching advanced courses on finite element analysis at TU Delft. Dr. Arag¢n boasts a strong industrial network and holds two patents for the inventive use of acoustic/elastic metamaterials and phononic crystals for noise attenuation.

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Fundamentals of Enriched Finite Element Methods 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 forbest use- Provides step-by-step instruction on implementing these methods- Covers the theory of general and enriched finite element methods