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Key Features
- Covers the detailed physics governing the physical systems and the computational methods that provide engineering solutions in one place, encouraging the reader to conduct fully informed finite element analysis
- Addresses the methodology for modeling heat transfer, elasticity, and structural mechanics problems
- Extensive worked examples are provided to help the reader to understand how to apply these methods in practice
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About the Book
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. Approx. 120 illustrations (30 in full color)
Readership
Graduate students of mechanical engineering working on computational problems
Engineers in industry
Content
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
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