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.
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