The influence of Maxwell stresses on the fracture mechanics of piezoelectric materials

A.B Zhang, Baolin Wang

    Research output: Contribution to journalArticleResearchpeer-review

    Abstract

    The influence of Maxwell stresses on the generalized 2D fracture mechanics problem of piezoelectric materials under combined mechanical and electric loads at infinity is studied. The electrically semi-permeable crack boundary condition is adopted in this paper. Based on the Stroh's formalism, explicit and closed-form solutions of electric displacement inside the crack, stress and electric intensity factors are obtained. Numerical results are also given to discuss the effects of Maxwell stresses on the stress and electric displacement intensity factors when the interior of the crack and the surrounding space at infinity are filled with different dielectric medium. It is found that the stress intensity factor increases rapidly with increasing value of the applied electric displacement load for the case of the dielectric constant of the surrounding at infinity is smaller than that inside the crack. The electric displacement intensity factor always increases as the applied electric loads or the applied mechanical loads increase. � 2013 Elsevier B.V.
    Original languageEnglish
    Pages (from-to)64-69
    Number of pages6
    JournalMechanics of Materials
    Volume68
    Issue numberJanuary
    DOIs
    Publication statusPublished - Jan 2014

    Fingerprint

    fracture mechanics
    Piezoelectric materials
    Fracture mechanics
    cracks
    infinity
    Cracks
    Electric loads
    stress intensity factors
    Stress intensity factors
    Permittivity
    Boundary conditions
    permittivity
    boundary conditions
    formalism

    Cite this

    Zhang, A.B ; Wang, Baolin. / The influence of Maxwell stresses on the fracture mechanics of piezoelectric materials. In: Mechanics of Materials. 2014 ; Vol. 68, No. January. pp. 64-69.
    @article{a207d1e9a2154bc5ae9484a295ef4911,
    title = "The influence of Maxwell stresses on the fracture mechanics of piezoelectric materials",
    abstract = "The influence of Maxwell stresses on the generalized 2D fracture mechanics problem of piezoelectric materials under combined mechanical and electric loads at infinity is studied. The electrically semi-permeable crack boundary condition is adopted in this paper. Based on the Stroh's formalism, explicit and closed-form solutions of electric displacement inside the crack, stress and electric intensity factors are obtained. Numerical results are also given to discuss the effects of Maxwell stresses on the stress and electric displacement intensity factors when the interior of the crack and the surrounding space at infinity are filled with different dielectric medium. It is found that the stress intensity factor increases rapidly with increasing value of the applied electric displacement load for the case of the dielectric constant of the surrounding at infinity is smaller than that inside the crack. The electric displacement intensity factor always increases as the applied electric loads or the applied mechanical loads increase. � 2013 Elsevier B.V.",
    keywords = "Closed form solutions, Electric displacement, Electric displacement intensity factors, Electric intensity, Intensity factors, Maxwell stress, Piezoelectric, Stress and electric displacement intensity factors, Boundary conditions, Cracks, Electric fields, Electric loads, Fracture mechanics, Piezoelectric materials, Stresses",
    author = "A.B Zhang and Baolin Wang",
    year = "2014",
    month = "1",
    doi = "10.1016/j.mechmat.2013.07.023",
    language = "English",
    volume = "68",
    pages = "64--69",
    journal = "Mechanics of Materials",
    issn = "0167-6636",
    publisher = "Elsevier",
    number = "January",

    }

    The influence of Maxwell stresses on the fracture mechanics of piezoelectric materials. / Zhang, A.B; Wang, Baolin.

    In: Mechanics of Materials, Vol. 68, No. January, 01.2014, p. 64-69.

    Research output: Contribution to journalArticleResearchpeer-review

    TY - JOUR

    T1 - The influence of Maxwell stresses on the fracture mechanics of piezoelectric materials

    AU - Zhang, A.B

    AU - Wang, Baolin

    PY - 2014/1

    Y1 - 2014/1

    N2 - The influence of Maxwell stresses on the generalized 2D fracture mechanics problem of piezoelectric materials under combined mechanical and electric loads at infinity is studied. The electrically semi-permeable crack boundary condition is adopted in this paper. Based on the Stroh's formalism, explicit and closed-form solutions of electric displacement inside the crack, stress and electric intensity factors are obtained. Numerical results are also given to discuss the effects of Maxwell stresses on the stress and electric displacement intensity factors when the interior of the crack and the surrounding space at infinity are filled with different dielectric medium. It is found that the stress intensity factor increases rapidly with increasing value of the applied electric displacement load for the case of the dielectric constant of the surrounding at infinity is smaller than that inside the crack. The electric displacement intensity factor always increases as the applied electric loads or the applied mechanical loads increase. � 2013 Elsevier B.V.

    AB - The influence of Maxwell stresses on the generalized 2D fracture mechanics problem of piezoelectric materials under combined mechanical and electric loads at infinity is studied. The electrically semi-permeable crack boundary condition is adopted in this paper. Based on the Stroh's formalism, explicit and closed-form solutions of electric displacement inside the crack, stress and electric intensity factors are obtained. Numerical results are also given to discuss the effects of Maxwell stresses on the stress and electric displacement intensity factors when the interior of the crack and the surrounding space at infinity are filled with different dielectric medium. It is found that the stress intensity factor increases rapidly with increasing value of the applied electric displacement load for the case of the dielectric constant of the surrounding at infinity is smaller than that inside the crack. The electric displacement intensity factor always increases as the applied electric loads or the applied mechanical loads increase. � 2013 Elsevier B.V.

    KW - Closed form solutions

    KW - Electric displacement

    KW - Electric displacement intensity factors

    KW - Electric intensity

    KW - Intensity factors

    KW - Maxwell stress

    KW - Piezoelectric

    KW - Stress and electric displacement intensity factors

    KW - Boundary conditions

    KW - Cracks

    KW - Electric fields

    KW - Electric loads

    KW - Fracture mechanics

    KW - Piezoelectric materials

    KW - Stresses

    U2 - 10.1016/j.mechmat.2013.07.023

    DO - 10.1016/j.mechmat.2013.07.023

    M3 - Article

    VL - 68

    SP - 64

    EP - 69

    JO - Mechanics of Materials

    JF - Mechanics of Materials

    SN - 0167-6636

    IS - January

    ER -