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Dynamic Fracture of Piezoelectric Materials

Solution of Time-Harmonic Problems via BIEM

  • Petia Dineva
  • Dietmar Gross
  • Ralf Müller
  • Tsviatko Rangelov

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

  • Petia Dineva
    • 1
  • Dietmar Gross
    • 2
  • Ralf Müller
    • 3
  • Tsviatko Rangelov
    • 4
  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

  • 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
  • Print ISBN 978-3-319-03960-2
  • Online ISBN 978-3-319-03961-9
  • Series Print ISSN 0925-0042
  • Series Online ISSN 2214-7764
  • Buy this book on publisher's site