Dynamic fracture of a rectangular limited-permeable crack in magneto-electro-elastic media under a time-harmonic elastic P-wave

Zhang, Peiwei

doi:10.1016/j.ijsolstr.2010.10.020

Cited by 23 publications

(3 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The transient response of a magneto-electro-elastic material with a penny-shaped or two collinear dielectric cracks under an in-plane magneto-electromechanical impact is investigated by Zhong and Zhang (2010). The harmonic stress analysis of a transversely isotropic magneto-electro-elastic medium containing a rectangular limited-permeable crack was studied by Zhang (2011).…”

Section: Introductionmentioning

confidence: 99%

Interaction of multiple cracks in a nonhomogeneous piezoelectric rectangular plane under an electromechanical loading

Kafaei

Bagheri

2019

MMMS

View full text Add to dashboard Cite

Purpose In accord with the literature reviews, there is not a promising examination regarding the several straight and curved cracks interaction with arbitrary arrangement in the rectangular FGP plane. The purpose of this paper is to consider the effect of crack length, position of the point load, material non-homogeneity constant and also the arrangement of cracks on the resulting field intensity factors. Design/methodology/approach First of all, in order to obtain a set of Cauchy singular integral equations, both the dislocation method and the finite Fourier cosine transform technique are applied. Using the corresponding solution to these equations, the dislocation densities on the crack surfaces are then obtained. Considering the results, both the stress intensity factors (SIFs) and electric displacement intensity factors (EDIFs) for a vertical crack and the interaction between two straight and curved cracks, which have an arbitrary configuration, are determined. Findings The numerical examples are represented in order to illustrate the interesting mechanical and electrical coupling phenomena induced by multi-crack interactions. At the end, the effects of the material non-homogeneity constant, the crack length and the cracks arrangements on the SIFs and EDIFs are investigated. Originality/value The solutions are obtained in series expansion forms which may be considered as Green’s functions in an FGP rectangular plane possessing multiple cracks. The technique of Green’s function provides the ability to analyze multiple cracks having any smooth configuration.

show abstract

Section: Introductionmentioning

confidence: 99%

Interaction of multiple cracks in a nonhomogeneous piezoelectric rectangular plane under an electromechanical loading

Kafaei

Bagheri

2019

MMMS

View full text Add to dashboard Cite

show abstract

“…For instance, employing the Hankel transform, Feng et al [40], Zhong and Li [41] and Wang et al [42] separately investigated a pennyshaped crack and obtained the magneto-electro-elastic field. Making use of the generalized Almansi's theorem and the Schmidt method, Zhang [43] studied the dynamic behavior of a rectangular limited-permeable crack under an incident harmonic stress wave, and obtained the analytical solutions in terms of Jacobi polynomials.…”

Section: Introductionmentioning

confidence: 99%

Analytical and numerical analyses for a penny-shaped crack embedded in an infinite transversely isotropic multi-ferroic composite medium: semi-permeable electro-magnetic boundary condition

Zheng¹,

Wu²,

Li³

et al. 2018

Smart Mater. Struct.

View full text Add to dashboard Cite

The problem of a penny-shaped crack embedded in an infinite space of transversely isotropic multi-ferroic composite medium is investigated. The crack is assumed to be subjected to uniformly distributed mechanical, electric and magnetic loads applied symmetrically on the upper and lower crack surfaces. The semi-permeable (limited-permeable) electro-magnetic boundary condition is adopted. By virtue of the generalized method of potential theory and the general solutions, the boundary integro-differential equations governing the mode I crack problem, which are of nonlinear nature, are established and solved analytically. Exact and complete coupling magneto-electro-elastic field is obtained in terms of elementary functions. Important parameters in fracture mechanics on the crack plane, e.g., the generalized crack surface displacements, the distributions of generalized stresses at the crack tip, the generalized stress intensity factors and the energy release rate, are explicitly presented. To validate the present solutions, a numerical code by virtue of finite element method is established for 3D crack problems in the framework of magneto-electro-elasticity. To evaluate conveniently the effect of the medium inside the crack, several empirical formulae are developed, based on the numerical results.

show abstract

“…To date, there were some investigations that took into account the dynamic fracture problems of the MEE materials. These studies include the transient response of the cracked solids under impact loads (Feng et al, 2005(Feng et al, , 2009Su, 2006, 2007;Feng and Liu, 2007;Li, 2005;Rangelov et al, 2011;Wang et al, 2010;Yong and Zhou, 2007;Zhong et al, 2009), the elastic wave scattering induced by cracks (Du et al, 2004;Li and Lee, 2009;Rojas et al, 2010;Zhang, 2011;Wang, 2006, 2008) and the coupled fields produced by the moving crack at a constant speed and with a fixed length (Hu and Li, 2005;Hu et al, 2007;Zhong and Li, 2006;Tupholme, 2009).…”

Section: Introductionmentioning

confidence: 99%

Propagation of a mode-III interfacial crack in a piezoelectric–piezomagnetic bi-material

Chen

Wei

Liu

et al. 2012

International Journal of Solids and Structures

View full text Add to dashboard Cite

a b s t r a c tThe transient response of a semi-infinite mode-III interfacial crack propagating between piezoelectric (PE) and piezomagnetic (PM) half spaces is investigated in this paper. The integral transform method together with the Wiener-Hopf and Cagniard-de Hoop techniques is used to solve the mixed boundary value problem under consideration. The existence of generalized Maerfeld-Tournois interfacial wave is discussed and the solutions of the coupled fields are derived for four different cases of bulk shear wave velocity. The dynamic intensity factors of stress, electric displacement and magnetic induction as well as energy release rate (ERR) are obtained in explicit forms. The numerical results of the universal functions and dimensionless ERR for several different material combinations are presented and discussed in details. It is found that the Bleustein-Gulyaev (generalized Maerfeld-Tournois) waves dominate the dynamic characteristics of the interfacial crack propagation in PE-PM bi-material.

show abstract

Dynamic fracture of a rectangular limited-permeable crack in magneto-electro-elastic media under a time-harmonic elastic P-wave

Cited by 23 publications

References 48 publications

Interaction of multiple cracks in a nonhomogeneous piezoelectric rectangular plane under an electromechanical loading

Interaction of multiple cracks in a nonhomogeneous piezoelectric rectangular plane under an electromechanical loading

Analytical and numerical analyses for a penny-shaped crack embedded in an infinite transversely isotropic multi-ferroic composite medium: semi-permeable electro-magnetic boundary condition

Propagation of a mode-III interfacial crack in a piezoelectric–piezomagnetic bi-material

Contact Info

Product

Resources

About