Finite Element Method: Physics and Solution Methods Sinan Muftu

Finite Element Method: Physics and Solution Methods – Ebook Instant Download/Delivery ISBN(s): 9780128211274,012821127X

Product details:

• ISBN-10 ‏ : ‎ 012821127X
• ISBN-13 ‏ : ‎ 978-0128211274
• Author(s): Sinan Muftu

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 asa reference on theory of elasticity, heat transfer, and mechanics of beams.

• 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

Table contents:

Chapter 1 Introduction

Chapter 3 Integral formulations and variational methods

Chapter 4 Finite element formulation of one-dimensional boundary value problems

Chapter 5 Finite element analysis of planar bars and trusses

Chapter 6 Euler–Bernoulli beam element

Chapter 7 Isoparametric elements for two-dimensional elastic solids

Chapter 8 Rectangular and triangular elements for two-dimensional elastic solids

Chapter 9 Finite element analysis of one-dimensional heat transfer problems

Chapter 10 Heat transfer problems in two-dimensions

Chapter 11 Transient thermal analysis

Chapter 12 Transient analysis of solids and structures

Problems
References
Index

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