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© 2014

Dynamic Fracture of Piezoelectric Materials

Solution of Time-Harmonic Problems via BIEM

Benefits

  • Step-by-step tutorial for application of Boundary Integral Equation Method in mechanics

  • Includes methodology for numerical modeling of dynamic Fracture Mechanics problems

  • Test and benchmark examples, validated numerical schemes and algorithms for creating scientific software

  • Provides good mathematical basis for derivation of fundamental solutions for coupled problems of modern multifunctional materials

Book

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 212)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
    Pages 1-3
  3. Theoretical Basics

    1. Front Matter
      Pages 5-5
    2. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 7-32
    3. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 33-57
    4. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 59-78
  4. Homogeneous PEM

    1. Front Matter
      Pages 79-79
    2. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 81-91
    3. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 93-103
    4. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 105-116
    5. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 117-131
    6. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 133-146
  5. Functionally Graded PEM

    1. Front Matter
      Pages 147-147
    2. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 149-163
    3. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 165-181
    4. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 183-197
    5. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 199-214
    6. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 215-232
    7. Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov
      Pages 233-245
  6. Back Matter
    Pages 247-249

About this book

Introduction

Dynamic Fracture of Piezoelectric Materials focuses on the Boundary Integral Equation Method as an efficient computational tool. The presentation of the theoretical basis of piezoelectricity is followed by sections on fundamental solutions and the numerical realization of the boundary value problems. Two major parts of the book are devoted to the solution of problems in homogeneous and inhomogeneous solids. The book includes contributions on coupled electro-mechanical models,computational methods, its validation and the simulation results, which reveal different effects useful for engineering design and practice. The book is self-contained and well-illustrated, and it serves as a graduate-level textbook or as extra reading material for students and researchers.

Keywords

Boundary Integral Equation Method Cracks in Piezoelectric Materials Fracture Mechanics Piezoelectric Materials Stress Concentration Factors Stress Intensity Factors

Authors and affiliations

  1. 1.Department of Solid Mechanics,Institute of MechanicsBulgarian Academy of SciencesSofiaBulgaria
  2. 2.Division of Solid MechanicsTU DarmstadtDarmstadtGermany
  3. 3.Department of Mechanical and Process EngineeringInstitute of Applied Mechanics, TU KaiserslauternKaiserslauternGermany
  4. 4.Department of Differential Equations and Mathematical physics,Institute of Mathematics and InformaticsBulgarian Academy of SciencesSofiaBulgaria

Bibliographic information

  • Book Title Dynamic Fracture of Piezoelectric Materials
  • Book Subtitle Solution of Time-Harmonic Problems via BIEM
  • Authors Petia Dineva
    Dietmar Gross
    Ralf Müller
    Tsviatko Rangelov
  • Series Title Solid Mechanics and Its Applications
  • Series Abbreviated Title Solid Mechanics, Applicat.
  • DOI https://doi.org/10.1007/978-3-319-03961-9
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-319-03960-2
  • Softcover ISBN 978-3-319-37813-8
  • eBook ISBN 978-3-319-03961-9
  • Series ISSN 0925-0042
  • Series E-ISSN 2214-7764
  • Edition Number 1
  • Number of Pages XIV, 249
  • Number of Illustrations 119 b/w illustrations, 0 illustrations in colour
  • Topics Theoretical and Applied Mechanics
    Computational Science and Engineering
    Optical and Electronic Materials
  • Buy this book on publisher's site
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Reviews

From the book reviews:

“The book is heavily oriented toward applications with technological interest­—piezoelectric materials are, in fact, largely used to construct resonators, sensors, and actuators—and as such it can surely be useful for readers interested in pursuing similar analyses or extending them to more intricate cases than those considered in the various chapters.” (Paolo Maria Mariano, Mathematical Reviews, November, 2014)