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Introduction to the Finite Element Method and Implementation with MATLAB®

Introduction to the Finite Element Method and Implementation with MATLAB®

Introduction to the Finite Element Method and Implementation with MATLAB®

Gang Li, Clemson University, South Carolina
No date available
Hardback
9781108471688

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Hardback

    Connecting theory with numerical techniques using MATLAB®, this practical textbook equips students with the tools required to solve finite element problems. This hands-on guide covers a wide range of engineering problems through nine well-structured chapters including solid mechanics, heat transfer and fluid dynamics; equilibrium, steady state and transient; and 1-D, 2-D and 3-D problems. Engineering problems are discussed using case study examples, which are solved using a systematic approach, both by examining the steps manually and by implementing a complete MATLAB®code. This topical coverage is supplemented by discourse on meshing with a detailed explanation and implementation of 2-D meshing algorithms. Introducing theory and numerical techniques alongside comprehensive examples this text increases engagement and provides students with the confidence needed to implement their own computer codes to solve given problems.

    • Step-by-Step Implementation Based Approach
    • Applications oriented with examples drawn from fluid dynamics heat transfer and civil engineering
    • MATLAB Integrated throughout

    Reviews & endorsements

    'From one of the experts in the field, this book on the finite element method is a comprehensive and thorough guide for graduate and senior undergraduate students. The book is engaging not just in content but also in delivery. Its focus on step-by-step explanation and implementation is particularly useful for helping students to connect the theory and practice. The reusable MATLAB® functions and programs that are integrated with the theoretical content reinforce the important components of FEA and provide a unique learning experience. Detailed description of numerical analysis and meshing techniques is also a major plus since these topics are barely covered in existing FEA textbooks. This introductory FEA book is suitable for students of all engineering majors.' Narayana Aluru, University of Illinois

    'An enormously accessible, didactic, and comprehensive text treating key engineering topics and providing the reader with the necessary elements of linear algebra, numerical methods, and meshing techniques, as well as numerous programming examples using MATLAB®. Professor Li's book can be used by teachers in the classroom for final-year undergraduate and graduate students, and by anyone else interested in learning the theory and computational implementation of the finite element method.' Gabriel Potirniche, University of Idaho

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    Product details

    No date available
    Hardback
    9781108471688
    522 pages
    250 × 175 × 28 mm
    1.14kg
    265 b/w illus. 34 tables 110 exercises

    Table of Contents

    • Preface
    • 1. Introduction
    • 2. Mathematical preliminaries
    • 3. Numerical analysis methods
    • 4. General procedure of FEA for linear static analysis:
    • 1-D problems
    • 5. FEA for multi-dimensional scalar field problems
    • 6. Mesh generation
    • 7. FEA for multi-dimensional vector field problems
    • 8. Structural elements
    • 9. FEA for linear time-dependent analysis
    • Index.