Dynamic behavior of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips

张培伟,; 周振功,; 王彪,

doi:10.1007/s10483-007-0507-1

Cited by 20 publications

(6 citation statements)

References 14 publications

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“…2 to (I) According to Eqs. (24)-(32), the stress intensity factors, the electric intensity factors and the magnetic flux intensity factors possess of the same changing rule and only different in magnitudes coming from 0 h , 70 h and 80 h , which had been discussed in references [9,17] . So during the following discussion, the electric displacement intensity factors and the magnetic flux intensity factors would not be elaborated particularly for the simplicity of the article, except the generalized intensity factors show a different variation.…”

Section: Numerical Results and Discussionmentioning

confidence: 94%

Analytical Solution for Dynamic Fracture of Two Coplanar Limited-Permeable Cracks in Magneto-Electro-Elastic Material

Zhang¹

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. Two coplanar limited-permeable rectangular cracks in magneto-electro-elastic material are modeled and solved using generalized Almansi's theorem. The mixed boundary value problem is formulated into three pairs of dual integral equations with the help of Fourier transform, in which the unknown functions are the jumps of displacements across the crack-surface. By directly expanding the unknown functions into infinite series form of Jacobi polynomials, the dual integral equations are solved, and the analytical expressions of generalized intensity factors are derived strictly. Based on the generalized intensity factors, the dynamic behaviors of two cracks are estimated under P-wave loads. To show the trends of effects of loading frequency and geometry of cracks on the generalized intensity factors, top finite terms of infinite series are numerically calculated based on the Schmidt method. Numerical results are then drawn graphically. It reveals that the trend of two cracks forming a larger crack by propagating depends strongly on crack geometry and load frequency. This work illuminate the condition inducing different crack propagation patterns, which will benifit the forecast of damage forms of transversely isotropic magneto-electro-elastic material.

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Section: Numerical Results and Discussionmentioning

confidence: 94%

Analytical Solution for Dynamic Fracture of Two Coplanar Limited-Permeable Cracks in Magneto-Electro-Elastic Material

Zhang¹

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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“…Zhou et al [16] addressed the dynamic behavior of collinear cracks between two dissimilar MEE material half planes under the harmonic anti-plane shear waves loading. Zhang et al [17] studied the dynamic behavior of two collinear interface cracks between two dissimilar functionally graded MEE material layers. Su et al [18] investigated the transient analysis of interface cracks between different MEE 2 strips in the case of out-of-plane mechanical loading as well as magnetoelectrical impacts.…”

Section: Introductionmentioning

confidence: 99%

Transient Response of an Inﬁnite Isotropic Magneto-Electro-Elastic Material with Multiple Axisymmetric Planar Cracks

Vahdati,

Salehi,

Vahabi

et al. 2024

Preprint

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Dynamic behavior of coaxial axisymmetric planar cracks in the transversely isotropic magneto-electro-elastic (MEE) material in transient in-plane magneto-electro-mechanical loading is studied. Magneto-electrically impermeable as well as permeable cracks are assumed for crack surface. In the first step, considering prismatic and radial dynamic dislocations, electric and magnetic jumps are obtained through Laplace and Hankel transforms. These solutions are utilized to derive singular integral equations in the Laplace domain for the axisymmetric penny-shaped and annular cracks. Derived Cauchy singular type integral equations are solved to obtain the density of dislocation on the crack surfaces. Dislocation densities are utilized in computation of the dynamic stress intensity factors, electric displacement and magnetic induction in the vicinity tips of crack tips. Finally, some numerical case studies of a single and multiple cracks are presented. The effect of system parameters on the results is then discussed.

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“…Li et al [2] investigated the problem of a penny-shaped interfacial crack between a functionally graded piezoelectric layer and a homogeneous piezoelectric layer. Furthermore, Zhang et al [3] studied the dynamic interaction of two collinear interfacial cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips subjected to the antiplane shear harmonic stress waves. Ing and Chen [4] investigated the transient response of an interfacial crack between two functionally graded piezoelectric strips.…”

Section: Introductionmentioning

confidence: 99%

Crack Tip Fields for Anti-plane Interfacial Crack between Functionally Graded and Homogeneous Piezoelectric Materials

Xiao¹,

Dai²,

Gui-xiang³

et al. 2015

Proceedings of the 3rd International Conference on Material, Mechanical and Manufacturing Engineering

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The problem of an anti-plane crack situated in the interface of functionally graded piezoelectric materials (FGPMs) and homogeneous piezoelectric materials (HPMs) is considered under the impermeable assumption of crack surfaces. The mechanical and electrical properties of the FGPMs are assumed to be power functions of y perpendicular to the crack. The higher order crack tip stress and electric displacement fields for FGPMs and HPMs are obtained by the eigenexpansion method. The stress intensity factor and electric displacement intensity factor are obtained explicitly.

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Dynamic behavior of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips

Cited by 20 publications

References 14 publications

Analytical Solution for Dynamic Fracture of Two Coplanar Limited-Permeable Cracks in Magneto-Electro-Elastic Material

Analytical Solution for Dynamic Fracture of Two Coplanar Limited-Permeable Cracks in Magneto-Electro-Elastic Material

Transient Response of an Inﬁnite Isotropic Magneto-Electro-Elastic Material with Multiple Axisymmetric Planar Cracks

Crack Tip Fields for Anti-plane Interfacial Crack between Functionally Graded and Homogeneous Piezoelectric Materials

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