Fracture analysis on a cracked elliptical hole with surface effect in magnetoelectroelastic solid

Xiao, Junhua; Xu, Bai‐Xiang; Xu, Yuzhe; Zhang, Fucheng

doi:10.1016/j.tafmec.2020.102532

Cited by 14 publications

(4 citation statements)

References 45 publications

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“…The commonly used methods are Hankel transform [1], the boundary integral equation method [2,3], Fourier transform [4,5], and distributed dislocation technique [6,7]. In addition, the most widely studied loads are in-plane electrical and magnetic loads, and anti-plane mechanical loads [8][9][10]. In addition, some studies are dedicated to multi-scale optimization of magnetoelectric composite materials [11,12].…”

Section: Introductionmentioning

confidence: 99%

“…The permeable BC [15,21] does not consider the influence of the internal magnetoelectric medium (such as air) after the crack opens, and it is believed that the upper and lower surfaces of the crack are in magnetoelectric contact. The impermeable BC [2,5,9,18,22] considers that the upper and lower surfaces of the crack are electromagnetically insulated, i.e., the magnetic permeability and the permittivity of the medium inside the crack are zero. When studying the effects of external magnetoelectric loads on energy density factor, stress intensity factor, crack opening displacement intensity factor, and energy release rate, if the first electromagnetic BC is used, it will be found that the external magnetoelectric load has no effect on the calculation results, which is not consistent with the experimental results.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamic fracture behavior for hole-initiated cracks in functionally graded magneto-electro-elastic bi-materials

An,

Chen,

Zhang

et al. 2023

Mathematics and Mechanics of Solids

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In this article, the dynamic fracture behavior of hole-initiated cracks in functionally graded magneto-electro-elastic (FGMEE) bi-materials with exponential variation is studied by Green’s function method, and SH-wave is considered as an external load acting on the bi-materials. The mechanical model of the cracks is constructed through interface-conjunction and crack-deviation techniques, thereby simplifying the crack problem to solving a series of the first kind of Fredholm’s integral equations, from which the dynamic stress intensity factor (DSIF) at the crack tips is expressed. Numerical results clarified the factors that affect the DSIF, including wave number, incident angle, the geometry of the defect, and the gradient of the bi-materials. The accuracy of the present methods is examined by comparing the obtained results with the reference solutions. Compared with previous traditional numerical and analytical methods, the methods proposed in this paper are relatively more effective and applicable, and provide a new perspective for studying the fracture problems of FGMEE materials with more complex defects in practical engineering.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic fracture behavior for hole-initiated cracks in functionally graded magneto-electro-elastic bi-materials

An,

Chen,

Zhang

et al. 2023

Mathematics and Mechanics of Solids

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“…The latest research results are as follows: Dineva et al [15] discussed the dynamic fracture performance of nano-cracked graded MEE materials. Xiao et al [16,17] studied fracture behavior of periodic distribution radial crack and elliptical pore-edge crack in MEE materials considering surface effects. Yang and Liu [18,19] studied the anti-plane problem of four cracks emanating from a 4n-polygon hole and three cracks emanating from a triangle hole in MEE materials considering surface effects.…”

Section: Introductionmentioning

confidence: 99%

Fracture analysis of circular hole edge arbitrary position crack with surface effects in magnetoelectroelastic materials

Xiao

Xin

2023

Mathematics and Mechanics of Solids

Self Cite

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The mechanical properties of magnetoelectroelastic (MEE) materials are brittle, which is easy to produce nano-defects (hole or crack). The micro-fields of nanoscale cracks and holes are size dependent significantly. Nanoscale cracks and holes interact with each other, and the interference effect is very obvious. In this paper, the Model III fracture behavior of nanoscale circular hole edge arbitrary position radial crack is studied under anti-plane mechanical load, in-plane electric displacement load and in-plane magnetic induction load. Based on the surface elasticity theory, the conformal mapping technique and the MEE elasticity theory, the MEE fields expressions of the nano-hole and nano-crack are obtained, and the analytical solution of generalized intensity factors (stress intensity factor, electric displacement intensity factor and magnetic induction intensity factor) at crack tip is given. The comparison between the present results and the existing research shows the correctness of the present method in this paper. The influences of the microstructure and coupling loads on the generalized intensity factors are discussed.

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“…However, the results of the collocation method are often unsatisfactory and imprecise, and as the number of collocation points increases, the convergence tends to become unstable, which may result in the boundary conditions not being well satisfied. Xiao et al [24][25][26] obtained strict analytical solutions of stress and electric displacement fields by Gurtin-Murdoch surface model theory and conformal mapping technique and analyzed the stress around cracked elliptic holes. Ming et al [27] derived a series solution for the electroelastic field of an anisotropic piezoelectric half-plane containing elliptical holes or cracks under in-plane mechanical and electrical loads using a special conformal mapping technique.…”

Section: Introductionmentioning

confidence: 99%

Electroelastic Coupled-Wave Scattering and Dynamic Stress Concentration of Triangular Defect Piezoceramics

Lin

Zhou

et al. 2022

Actuators

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In this paper, a method to calculate the dynamic stress concentration around the triangular defect of piezoelectric material under electroelastic coupling is studied and applied to the promising barium calcium zirconate titanate. Firstly, the electroelastic governing equation is decomposed by decoupling technique, and the analytical solutions of elastic wave field and electric field are obtained by wave function expansion method. Then, the conformal transformation is used to simplify the triangle boundary into a circular boundary, and the corresponding modal coefficients are determined according to the simplified boundary conditions. Finally, the analytical solution of the dynamic stress concentration factor can be obtained according to the constitutive equation. Substitute the relevant material parameters of (Ba0.85Ca0.15)(Zr0.1Ti0.9)O3 and set different temperatures, Ce doping amount, and incident wave number for numerical simulation. The numerical results show that the incident wave number, piezoelectric properties, and the shape parameters and deflection angle of the triangular defect have a great influence on the dynamic stress around the defect, and some meaningful laws are summarized through analysis.

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Fracture analysis on a cracked elliptical hole with surface effect in magnetoelectroelastic solid

Cited by 14 publications

References 45 publications

Dynamic fracture behavior for hole-initiated cracks in functionally graded magneto-electro-elastic bi-materials

Dynamic fracture behavior for hole-initiated cracks in functionally graded magneto-electro-elastic bi-materials

Fracture analysis of circular hole edge arbitrary position crack with surface effects in magnetoelectroelastic materials

Electroelastic Coupled-Wave Scattering and Dynamic Stress Concentration of Triangular Defect Piezoceramics

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