3D modeling of crack growth in electro-magneto-thermo-elastic coupled viscoplastic multiphase composites

Zhu, Bingli; Qin, Taiyan

doi:10.1016/j.apm.2007.12.024

Cited by 8 publications

(1 citation statement)

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“…Then the research activities on the physical and mechanical behavior of magnetoelectroelastic materials are prevalent [2][3][4][5][6][7][8][9][10]. Note that based on the linear magnetoelectroelasticity, the fracture analysis for magnetoelectroelastic solids has attracted much attention, and many explicit solutions for the magnetoelectroelastic fields induced by a crack have been obtained.…”

Section: Introductionmentioning

confidence: 99%

Closed-form solutions for two collinear dielectric cracks in a magnetoelectroelastic solid

Zhong

2011

Applied Mathematical Modelling

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a b s t r a c tThe problem of two collinear electromagnetically dielectric cracks in a magnetoelectroelastic material is investigated under in-plane electro-magneto-mechanical loadings. The semi-permeable crack-face boundary conditions are adopted to simulate the case of two collinear cracks full of a dielectric interior. Utilizing the Fourier transform technique, the boundary-value problem is reduced to solving singular integral equations with Cauchy kernel, which then are solved explicitly. The intensity factors of stress, electric displacement, magnetic induction, crack opening displacement (COD) and the energy release rates near the inner and outer crack tips are determined in closed forms for two cases of possible far-field electro-magneto-mechanical loadings respectively. Numerical results for a BaTiO 3 -CoFe 2 O 4 composite are carried out to show the effects of applied mechanical loadings on the crack-face electric displacement and magnetic induction, the stress intensity factor and the COD intensity factor, respectively. The obtained results reveal that when the applied mechanical loading is stress, applied electromagnetic loadings have no influences on the stress intensity factor. When the applied mechanical loadings is train, the applied positive electromagnetic loadings decrease the intensity factors of stress and COD, and the applied negative ones increase the intensity factors of stress and COD. The variations of energy release rates are also given to show the effects of the geometry of two collinear dielectric cracks.

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