ZHANG Jun, JIN Ying, XIONG Tao. Fracture Analysis on Multiferroic Composite Plates Under Concentrated Forces[J]. Applied Mathematics and Mechanics, 2018, 39(12): 1390-1399. doi: 10.21656/1000-0887.390013
Citation: ZHANG Jun, JIN Ying, XIONG Tao. Fracture Analysis on Multiferroic Composite Plates Under Concentrated Forces[J]. Applied Mathematics and Mechanics, 2018, 39(12): 1390-1399. doi: 10.21656/1000-0887.390013

Fracture Analysis on Multiferroic Composite Plates Under Concentrated Forces

doi: 10.21656/1000-0887.390013
Funds:  The National Natural Science Foundation of China(11372358)
  • Received Date: 2018-01-12
  • Rev Recd Date: 2018-04-26
  • Publish Date: 2018-12-01
  • The fracture mechanics model was established for the interfacial fracture problem of a multiferroic composite plate under concentrated force on the outer face. The Fourier integral transform and Green’s functions were employed to obtain the Cauchy-type singular integral equations, which were further discretized into algebraic equations through the Labatto-Chebyshev collocation. The algebraic equations were numerically solved to determine the stress intensity factor (SIF). Analysis of the numerical results indicates that, the thickness of the piezoelectric layer, the crack length and the concentrated force location are 3 major factors to influence the stress intensity factor at the crack tip. The effects of physical and geometric parameters on the stress intensity factor in this model provide theoretical references for the anti-fracture optimal design of related composite materials in engineering.
  • loading
  • [1]
    SPALDIN N A , FIEBIG M. The renaissance of magnetoelectric multiferroics[J]. Science,2005,309(5733): 391-392.
    REKIK M, EL-BORGI S, OUNAIES Z. An axisymmetric problem of an embeddedmixed-mode crack in a functionally gradedmagnetoelectroelastic infinite medium[J]. Applied Mathematical Modelling,2014,38(4): 1193-1210.
    LIU S L, LI Y D, XIONG T. In-plane fracture analysis on the magneto-electro-elastic interfacial region in a multiferroic composite effects of volume fraction[J]. European Journal of Mechanics,2017,63: 110-121.
    ZHAO M H, LIU H T, FAN C Y, et al. A nonlinear bilayer beam model for an interfacial crack in dielectric bimaterials under mechanical/electrical loading[J]. International Journal of Fracture,2014,188(1): 47-58.
    HU K Q, CHEN Z T, FU J W. Moving Dugdale crack along the interface of two dissimilar magnetoelectroelastic materials[J]. Acta Mechanica ,2015,226(6): 2065-2076.
    FENG W J, LIU J X. Dynamic analysis of a magneto-electro-elastic material with a semi-infinite mode-III crack under point impact loads[J]. Structural Engineering & Mechanics, 2007,27(5): 609-623.
    HERRMANN K P, LOBODA V V, KHODANEN T V. An interface crack with contact zones in a piezoelectric/piezomagnetic biomaterial[J]. Archive of Applied Mechanics,2010,80(6): 651-670.
    GOVORUKHA V, KAMLAH M, SHEVELEVA A. Influence of concentrated loading on opening of an interface crack between piezoelectric materials in a compressive field[J]. Acta Mechanica,2015,226(7): 1-13.
    BAGHERI R, AYATOLLAHI M, MOUSAVI S M. Stress analysis of a functionally graded magneto-electro-elastic strip with multiple moving cracks[J]. Mathematics & Mechanics of Solids,2017,22(3): 304-323.
    GUOYK, LI Y D, PAN J W. Effects of complex modulus and residual stress on the vibration induced resonant fracture behavior of a multiferroic cylindrical structure[J]. Engineering Fracture Mechanics,2017,171: 98-109.
    ZHOU K, LI Y D, LIU S L. Effects of the volume fraction of piezoelectric particulates in the magneto-electro-elastic interfacial region on the fracture behavior of a laminate multiferroic plate[J]. Acta Mechanica,2016,228(4): 1-20.
    HU K Q, CHEN Z T. Strip yield zone of a penny-shaped crack in a magnetoelectroelastic material under axisymmetric loadings[J]. Acta Mechanica,2016,227(8): 2343-2360.
    GRYNEVYCH A A, LOBODA V V. An electroded electrically and magnetically charged interface crack in a piezoelectric/piezomagnetic biomaterial[J]. Acta Mechanica,2016,227(10): 1-19.
    VIUN O, LAPUSTA Y, LOBODA V. Pre-fracture zones modelling for a limited permeable crack in an interlayer between magneto-electro-elastic materials[J]. Applied Mathematical Modelling,2015,39(21): 6669-6684.
    ZHANG J, JIN Y, LI Y D. Concentrated force-induced fracture of a multiferroic composite cylinder[J]. Acta Mechanica,2017,229(5): 1215-1228.
    THEOCARIS P S, IOAKIMIDS N I. Numerical integration methods for the solution of singular integral equations[J]. Quarterly of Applied Mathematics,1977,35:173-183.
  • 加载中


    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1231) PDF downloads(862) Cited by()
    Proportional views


    DownLoad:  Full-Size Img  PowerPoint