Finite Element Applications: A Practical Guide to the FEM Process

✍ Scribed by Michael Okereke,Simeon Keates (auth.)

• Publisher: Springer International Publishing
• Year: 2018
• Tongue: English
• Leaves: 488
• Series: Springer Tracts in Mechanical Engineering
• Edition: 1
• Category: Library

✦ Synopsis

This textbook demonstrates the application of the finite element philosophy to the solution of real-world problems and is aimed at graduate level students, but is also suitable for advanced undergraduate students. An essential part of an engineer’s training is the development of the skills necessary to analyse and predict the behaviour of engineering systems under a wide range of potentially complex loading conditions. Only a small proportion of real-life problems can be solved analytically, and consequently, there arises the need to be able to use numerical methods capable of simulating real phenomena accurately. The finite element (FE) method is one such widely used numerical method.

Finite Element Applications begins with demystifying the ‘black box’ of finite element solvers and progresses to addressing the different pillars that make up a robust finite element solution framework. These pillars include: domain creation, mesh generation and element formulations, boundary conditions, and material response considerations. Readers of this book will be equipped with the ability to develop models of real-world problems using industry-standard finite element packages.

✦ Table of Contents

Front Matter ....Pages i-xxiv
Front Matter ....Pages 1-1
Computational Mechanics and the Finite Element Method (M. Okereke, S. Keates)....Pages 3-25
A Brief Introduction to MATLAB™ (M. Okereke, S. Keates)....Pages 27-45
Direct Stiffness Method (M. Okereke, S. Keates)....Pages 47-106
Design of Simple Finite Element Modelling Solver (M. Okereke, S. Keates)....Pages 107-142
Front Matter ....Pages 143-144
Design of Virtual Domains (M. Okereke, S. Keates)....Pages 145-164
Finite Element Mesh Generation (M. Okereke, S. Keates)....Pages 165-186
Mathematics of Element Formulation (M. Okereke, S. Keates)....Pages 187-241
Boundary Conditions (M. Okereke, S. Keates)....Pages 243-297
Material Response: Measures of Stress and Strain (M. Okereke, S. Keates)....Pages 299-362
Material Response: Constitutive Models and Their Implementation (M. Okereke, S. Keates)....Pages 363-436
The Future of Finite Element Modelling (M. Okereke, S. Keates)....Pages 437-454
Back Matter ....Pages 455-472

✦ Subjects

Appl. Mathematics;Computational Methods of Engineering