Finite Element Method

Physics and Solution Methods
Erscheinungsjahr 2022
ISBN: 978-0-12-821127-4
Verlag: William Andrew Publishing

Buch, Englisch, 540 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 290 g

Finite Element Method: Physics and Solution Methods aims to provide the reader a sound understanding of the physical systems and solution methods to enable effective use of the finite element method. This book focuses on one- and two-dimensional elasticity and heat transfer problems with detailed derivations of the governing equations. The connections between the classical variational techniques and the finite element method are carefully explained. Following the chapter addressing the classical variational methods, the finite element method is developed as a natural outcome of these methods where the governing partial differential equation is defined over a subsegment (element) of the solution domain. As well as being a guide to thorough and effective use of the finite element method, this book also functions as a reference on theory of elasticity, heat transfer, and mechanics of beams.

Zielgruppe

Graduate students of mechanical engineering working on computational problems
Engineers in industry

Autoren/Hrsg.

Muftu, Sinan

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau Konstruktionslehre, Bauelemente, CAD
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Technik Allgemein Konstruktionslehre und -technik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde

Inhaltsverzeichnis

1. Introduction 2. Mathematical modeling of physical systems 3. Integral formulations and variational methods 4. Finite element formulation of one-dimensional boundary value problems 5. Finite element method for planar bars and trusses 6. Euler-Bernoulli beam element 7. Isoparametric elements for two-dimensional elastic solids 8. Rectangular and triangular elements for two-dimensional elastic solids 9. Finite element solution of one-dimensional heat transfer problems 10. Heat transfer problems in two dimensions 11. Transient thermal analysis 12. Transient analysis of solids and structures

Über Autor(innen)

Muftu, Sinan
Sinan Müftü is a Professor of Mechanical Engineering at Northeastern University, Boston, USA. His research is in the general area of applied mechanics with applications in tribology and bioengineering, including mechanics of axially translating materials for roll-2-roll manufacturing systems, mechanics of high velocity particle impacts for cold spray additive manufacturing, and structure-function relationships in biological systems. He has taught the finite element method to undergraduate and graduate students in his institution since 2004 and developed customized programs for numerical analysis throughout his career. This book comes out of his experience and observations in teaching and conducting research in applied numerical analysis. Dr. Müftü is an elected fellow of the American Society of Mechanical Engineers for his contributions to mechanics of axially translating media.