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A Finite Element Approach for Wave Propagation in Elastic Solids

  • Textbook
  • © 2024

Overview

Authors:
  1. Arkadiusz Żak

    1. Department of Biomechatronics, Gdańsk University of Technology, Gdansk, Poland

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  • Offers a broad perspective on the evolution of wave propagation modeling and modern scientific methodologies
  • Effectively conveys the fundamental principles of wave phenomena
  • Explores advanced topics such as the spectral-finite element method and spline-based finite element method

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    • Arkadiusz Żak
    Pages 1-19

  3. Wave Essentials

    • Arkadiusz Żak
    Pages 21-48

  4. Waves in a 3-D Elastic Space

    • Arkadiusz Żak
    Pages 49-64

  5. Surface Waves

    • Arkadiusz Żak
    Pages 65-82

  6. Waves in a 2-D Elastic Space

    • Arkadiusz Żak
    Pages 83-96

  7. Waves in a 1-D Elastic Space

    • Arkadiusz Żak
    Pages 97-121

  8. A Step Towards FE Modelling

    • Arkadiusz Żak
    Pages 123-136

  9. Simplified Theories of 2-D Structural Elements

    • Arkadiusz Żak
    Pages 137-164

  10. Simplified Theories of 1-D Structural Elements

    • Arkadiusz Żak
    Pages 165-195

  11. FEM Essentials

    • Arkadiusz Żak
    Pages 197-218

  12. Waves in Unbounded Structures

    • Arkadiusz Żak
    Pages 219-228

  13. Numerical Case Studies

    • Arkadiusz Żak
    Pages 229-264

  14. Periodic Properties of FE Discrete Numerical Models

    • Arkadiusz Żak
    Pages 265-287

  15. Spline-Based FEM Approach

    • Arkadiusz Żak
    Pages 289-306

  16. Back Matter

    Pages 307-326
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Keywords

About this book

This book focuses on wave propagation phenomena in elastic solids modelled by the use of the finite element method. Although the latter is a well-established and popular numerical tool used by engineers and researchers all around the word the process of modelling of wave propagation can still be a challenge. The book introduces a reader to the problem by presenting a historical background and offering a broad perspective on the development of modern science and numerical methods. The principles of wave phenomena are clearly presented to the reader as well as the necessary background for understanding the finite element method, which is the following chapter of the book is viewed from the modeller point-of-view. Apart from the principles the book also addresses more advanced topics and problems including the use of the spectral-finite element method, the spline-based finite element method as well as the problems of undesired and hidden properties of discrete numerical models.

Authors and Affiliations

  • Department of Biomechatronics, Gdańsk University of Technology, Gdansk, Poland

    Arkadiusz Żak

About the author

Arkadiusz Żak completed his Master's degree in Technical Physics and Applied Mathematics at Gdansk University of Technology in 1994. He then transitioned to the Department of Intelligent Structures, IFFM of PASci in Gdansk, where he earned his PhD in machine dynamics in 1998. Since 2012 he is a member of the Faculty of Electrical and Control Engineering, Gdansk University of Technology. His current research endeavors encompass a spectrum of topics, including the impact of electromagnetic fields on living organisms, advancements in smart materials, and the exploration of meta-materials and periodic structures to manipulate the dynamic responses of diverse engineering structures.

Bibliographic Information

  • Book Title: A Finite Element Approach for Wave Propagation in Elastic Solids

  • Authors: Arkadiusz Żak

  • Series Title: Lecture Notes on Numerical Methods in Engineering and Sciences

  • DOI: https://doi.org/10.1007/978-3-031-56836-7

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024

  • Hardcover ISBN: 978-3-031-56835-0Published: 30 April 2024

  • Softcover ISBN: 978-3-031-56838-1Due: 31 May 2024

  • eBook ISBN: 978-3-031-56836-7Published: 29 April 2024

  • Series ISSN: 1877-7341

  • Series E-ISSN: 1877-735X

  • Edition Number: 1

  • Number of Pages: XIII, 326

  • Number of Illustrations: 185 b/w illustrations, 1 illustrations in colour

  • Topics: Mechanical Engineering, Mathematical and Computational Engineering

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