Anti-plane problem of arc-shaped interfacial crack in a non-homogeneous multiferroic hollow cylinder

作者：Shi Peng Peng; Li Xing^*; Sun Sha

来源：Engineering Mechanics, 2013, 30(5): 324-328.

DOI：10.6052/j.issn.1000-4750.2012.01.0001

• Ferroelectric layers
• Ferromagnetic layers
• Fracture parameter
• Interfacial cracks
• Method of variable separation
• Mixed boundary-value problem
• Multiferroic composites
• Singular integral equations

The arc-shaped interfacial crack in a hollow cylindrical multiferroic composite subjected to antiplane load is discussed. The hollow cylinder contains a non-homogeneous ferromagnetic layer and a non-homogeneous ferroelectric layer. Based on the method of variable separation, an infinite series expansion is employed to reduce the mixed-boundary value problem to a singular integral equation of Cauchy kernel, which is solved numerically by standard Lobatto-Chebyshev quadrature technique. Numerical results of the stress intensity factor are obtained and the effects of the graded parameters, geometrical and material constants on the fracture parameter are discussed.

• 出版日期2013