Authors:
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 212)
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Table of contents (15 chapters)
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Front Matter
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Theoretical Basics
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Front Matter
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Homogeneous PEM
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Front Matter
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Functionally Graded PEM
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Front Matter
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Back Matter
About this book
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.
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)Authors and Affiliations
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Department of Solid Mechanics,Institute of Mechanics, Bulgarian Academy of Sciences, Sofia, Bulgaria
Petia Dineva
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Division of Solid Mechanics, TU Darmstadt, Darmstadt, Germany
Dietmar Gross
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Department of Mechanical and Process Engineering, Institute of Applied Mechanics, TU Kaiserslautern, Kaiserslautern, Germany
Ralf Müller
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Department of Differential Equations and Mathematical physics,Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
Tsviatko Rangelov
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
DOI: https://doi.org/10.1007/978-3-319-03961-9
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-03960-2Published: 14 February 2014
Softcover ISBN: 978-3-319-37813-8Published: 27 August 2016
eBook ISBN: 978-3-319-03961-9Published: 30 January 2014
Series ISSN: 0925-0042
Series E-ISSN: 2214-7764
Edition Number: 1
Number of Pages: XIV, 249
Number of Illustrations: 119 b/w illustrations
Topics: Theoretical and Applied Mechanics, Computational Science and Engineering, Optical and Electronic Materials