Overview
- Presents a set of new analytical solutions for periodic or arbitrary sets of cracks in piezoelectric / dielectric materials
- Offers extensive information on mathematical modeling of fracture processes taking place in composite materials
- Discusses the finite electric permeability of crack fillers
Part of the book series: Springer Tracts in Mechanical Engineering (STME)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (4 chapters)
-
Front Matter
-
Back Matter
Keywords
- Piezoceramic Material
- Periodic Set of Interface Cracks
- Fracture mechanics of interface cracks
- Models of Crack Between Two Materials
- Interface Cracks With Contact Zones
- Arbitrary Set of Interface Cracks
- Homogeneous Piezoelectric Material
- Electric Permittivity
- Periodically Bonded Piezoelectric Interface
- Contact Model of the Crack
- Classical Model of the Crack
- Solutions to Problems of Electroelasticity
- Dirichlet- Riemann Boundary Value Problem
- Stress Intensity Factors
- Internal and interface cracks
- Electric intensity factor
- Singularity at the crack tip
About this book
This book offers a comprehensive and timely review of the fracture behavior of bimaterial composites consisting of periodically connected components, i.e. of bimaterial composites possessing periodical cracks along the interface. It first presents an overview of the literature, and then analyzes the isotropic, anisotropic and piezoelectric/dielectric properties of bimaterial components, gradually increasing the difficulty of the solutions discussed up to the coupled electromechanical problems. While in the case of isotropic and anisotropic materials it covers the problems generated by an arbitrary set of cracks, for the piezoelectric materials it focuses on studying the influence of the electric permittivity of the crack’s filler, using not only a simple, fully electrically permeable model, but also a physically realistic, semi-permeable model. Throughout the analyses, the effects of the contact of the crack faces are taken into account so as to exclude the physically unrealistic interpenetration of the composite components that are typical of the classical open model. Further, the book derives and examines the mechanical and electromechanical fields, stress and electric intensity factors in detail. Providing extensive information on the fracture processes taking place in composite materials, the book helps readers become familiar with mathematical methods of complex function theory for obtaining exact analytical solutions.
Authors and Affiliations
Bibliographic Information
Book Title: Fracture Mechanics of Electrically Passive and Active Composites with Periodic Cracking along the Interface
Authors: Sergey Kozinov, Volodymyr Loboda
Series Title: Springer Tracts in Mechanical Engineering
DOI: https://doi.org/10.1007/978-3-030-43138-9
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 2020
Hardcover ISBN: 978-3-030-43137-2Published: 23 March 2020
Softcover ISBN: 978-3-030-43140-2Published: 23 March 2021
eBook ISBN: 978-3-030-43138-9Published: 21 March 2020
Series ISSN: 2195-9862
Series E-ISSN: 2195-9870
Edition Number: 1
Number of Pages: XI, 126
Number of Illustrations: 59 b/w illustrations
Topics: Solid Mechanics, Ceramics, Glass, Composites, Natural Materials, Numerical and Computational Physics, Simulation