Fracture mechanics of electrically passive and active composites with periodic cracking along the interface / Sergey Kozinov, Volodymyr Loboda.

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...

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Bibliographic Details
Main Authors: Kozinov, Sergey (Author), Loboda, Volodymyr (Professor of Mechanics) (Author)
Format: Ebook
Language:English
Published: Cham : Springer, 2020.
Series:Springer tracts in mechanical engineering.
Subjects:
Online Access:Springer eBooks
Table of Contents:
  • Intro
  • Preface
  • Contents
  • Acronyms
  • Geometry
  • Material Properties
  • Electromechanical Fields
  • Applied Loading
  • Mathematical Symbols
  • Functions of Complex Variable
  • Abbreviations
  • 1 Literature Review on Cracks Located at the Interface of Dissimilar Materials (Interface Cracks)
  • 1.1 Classic Model of the Crack Between Two Materials
  • 1.2 Contact Model of the Crack Between Two Materials
  • 1.3 Cracks in Piezoelectric Materials
  • 1.4 Modeling of Cracks with Friction in the Contact Zone and Other Ways of Modeling of Pre-fracture Zones Near the Crack Tips
  • 1.5 Periodic Sets of Cracks
  • References
  • 2 Set of Cracks with Contact Zones Located at the Interface of Two Isotropic Materials
  • 2.1 Periodic Set of Interface Cracks
  • 2.1.1 Statement of the Problem and Its Reduction to the Periodic Dirichlet-Riemann Boundary Value Problem
  • 2.1.2 Solution of the Problem for a Periodic Set of Cracks with Contact Zones
  • 2.1.3 Derivation of the Classical ``Oscillating'' Solution as a Particular Case of the ``Contact'' Model Solution
  • 2.1.4 Determination of the Contact Zone Length and the Stress Intensity Factors
  • 2.1.5 Numerical Results
  • 2.2 Interaction of an Arbitrary Set of Interface Cracks
  • 2.2.1 Statement and Solution of the Dirichlet-Riemann BVP for a Set of Interface Cracks with Contact Zones
  • 2.2.2 Investigation of the Interaction of Two Cracks with Contact Zones
  • 2.3 Analysis of Results and Conclusions
  • References
  • 3 Set of Cracks with Contact Zones Located at the Interface of Two Anisotropic Materials
  • 3.1 Periodic Set of Interface Cracks
  • 3.1.1 Statement and Solution of the Problem for a Periodic Set of Cracks with Contact Zones
  • 3.1.2 Derivation of the Classical ``Oscillating'' Solution as a Particular Case of the ``Contact'' Model Solution
  • 3.1.3 Determination of the Contact Zone Length and Basic Fracture Parameters
  • 3.1.4 Assessment of the Obtained Solution and Analysis of the Results
  • 3.2 Interaction of an Arbitrary Set of Interface Cracks
  • 3.2.1 Statement and Solution of the Dirichlet-Riemann BVP for a Set of Interface Cracks with Contact Zones
  • 3.2.2 Investigation of the Interaction of Two Cracks with Contact Zones
  • 3.3 Analysis of Results and Conclusions
  • References
  • 4 Periodic Set of Cracks Located at the Interface of Piezoelectric Materials
  • 4.1 Basic Information About Piezoelectric Materials
  • 4.2 Fundamental Equations for Electromechanical Fields in Piezoelectric Materials
  • 4.3 Fully Electrically Permeable Cracks
  • 4.3.1 Solution to the Problem Within the Classical Model
  • 4.3.2 Solution to the Problem Within the Contact Model
  • 4.3.3 Fracture Behavior of Periodically Bonded Piezoelectric Interface Under Compressive-Shear Loading
  • 4.4 Cracks with Finite Electric Permittivity
  • 4.4.1 Solution for a Homogeneous Piezoelectric Material
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