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集中力作用下多铁性板状复合材料的断裂分析

张俊 靳莹 熊涛

张俊, 靳莹, 熊涛. 集中力作用下多铁性板状复合材料的断裂分析[J]. 应用数学和力学, 2018, 39(12): 1390-1399. doi: 10.21656/1000-0887.390013
引用本文: 张俊, 靳莹, 熊涛. 集中力作用下多铁性板状复合材料的断裂分析[J]. 应用数学和力学, 2018, 39(12): 1390-1399. doi: 10.21656/1000-0887.390013
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

集中力作用下多铁性板状复合材料的断裂分析

doi: 10.21656/1000-0887.390013
基金项目: 国家自然科学基金(11372358)
详细信息
    作者简介:

    张俊(1994—),男,硕士生(通讯作者. E-mail: 949083102@qq.com).

  • 中图分类号: O346.1

Fracture Analysis on Multiferroic Composite Plates Under Concentrated Forces

Funds: The National Natural Science Foundation of China(11372358)
  • 摘要: 针对多铁性板状复合材料在外表面任一点处存在集中力的界面裂纹问题,建立断裂力学模型.利用Fourier(傅里叶)积分变换和Green(格林)函数推导出该裂纹模型的Cauchy(柯西)奇异积分方程组;通过Chebyshev(切比雪夫)配点法将该方程组离散为对应的代数方程组,进而数值求解裂纹尖端应力强度因子.通过对数值结果的分析可以得到:在外表面集中力作用下,压电层厚度、裂纹长度以及集中力作用位置是影响裂纹尖端应力强度因子的3个主要因素.分析讨论了在该模型下各项参数对应力强度因子的影响规律,可以在工程应用中为此类复合材料的防断裂优化设计提供一定的理论参考.
  • [1] SPALDIN N A , FIEBIG M. The renaissance of magnetoelectric multiferroics[J]. Science,2005,309(5733): 391-392.
    [2] 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.
    [3] 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.
    [4] 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.
    [5] 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.
    [6] 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.
    [7] 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.
    [8] 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.
    [9] 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.
    [10] 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.
    [11] 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.
    [12] 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.
    [13] 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.
    [14] 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.
    [15] ZHANG J, JIN Y, LI Y D. Concentrated force-induced fracture of a multiferroic composite cylinder[J]. Acta Mechanica,2017,229(5): 1215-1228.
    [16] 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.
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出版历程
  • 收稿日期:  2018-01-12
  • 修回日期:  2018-04-26
  • 刊出日期:  2018-12-01

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