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Electro-mechanical singularities of piezoelectric bi-material notches and cracks

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F19%3APU132631" target="_blank" >RIV/00216305:26210/19:PU132631 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0013794419303169" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0013794419303169</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.engfracmech.2019.05.016" target="_blank" >10.1016/j.engfracmech.2019.05.016</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Electro-mechanical singularities of piezoelectric bi-material notches and cracks

  • Original language description

    The paper aims to carefully investigate an asymptotic in-plane problem of bi-material sharp notches with various geometry and interface cracks in several generally monoclinic piezoelectric bi-materials using the expanded Lekhnitskii-Eshelby-Stroh formalism. A special attention is paid to the change of the asymptotic solution connected with the transition of a very closed notch into an interface crack. Also the influence of arbitrary oriented poling directions upon asymptotic solution is investigated. Four pair-combinations PZT-5H/BaTiO3, PZT-5H/PZT-6B, PZT-5H/PZT-7A and PZT-6B/PZT-7A as representatives of the so-called epsilon-class of bi-materials and six pair-combinations PZT-4/BaTiO3, PZT-4/PZT-5H, PZT-4/PZT-6B, PZT-4/PZT-7A, PZT-6B/BaTiO3, and PZT-7A/BaTiO(3 )as representatives of the kappa-class of bi-materials are analysed. It is shown that the bi-material classification into epsilon-class and kappa-class introduced by Ou and Wu (2003) for interface cracks cannot be applied to a bi-material notch with a geometry characterized by an arbitrary angle. Ou and Wu bi-material classification also fails for interface cracks if one of the poling angles differs from 90 degrees. The two-state integral derived from Beth's reciprocal principle for piezoelectric bi-materials is used to evaluate general stress intensity factors (GSIFs) for various piezoelectric bi-materials and notch configurations. The accuracy of GSIFs calculations is tested by comparing the asymptotic solutions with the results obtained by finite element method using a very fine mesh.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    20302 - Applied mechanics

Result continuities

  • Project

    <a href="/en/project/GA17-08153S" target="_blank" >GA17-08153S: Novel material architectures for SMART piezoceramic electromechanical converters</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Engineering Fracture Mechanics

  • ISSN

    0013-7944

  • e-ISSN

    1873-7315

  • Volume of the periodical

    216

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    23

  • Pages from-to

    1-23

  • UT code for WoS article

    000477573000015

  • EID of the result in the Scopus database

    2-s2.0-85066122338