Mode-I pressurized axisymmetric penny-shaped crack in graded interfacial zone with variable modulus and Poisson’s ratio

Chen, X.W.; Yue, Z.Q.

doi:10.1016/j.engfracmech.2020.107164

Cited by 12 publications

(3 citation statements)

References 54 publications

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“…As depicted in work [24], we have [ ( , , 0)] = 0, [ ( , , 0)] = 0, [ ( , , 0)] = 0 and [ ( , , 0)] = 0. Therefore, Equations ( 9)-( 12…”

Section: Basic Equationsmentioning

confidence: 99%

“…Recently, 3D fracture behaviors of piezoelectric materials have received concerned under different electrical boundary condition (such as electrically permeable crack condition [10][11][12], the electrically impermeable crack condition [13][14][15] and the electrically semi-permeable condition [3,[16][17][18]). In order to acquire analytical solutions to 3D problems, the shape of crack was generally considered to be rectangular crack [12,[19][20][21], penny crack [22][23][24], elliptical crack [25][26][27]. In previous article, the material properties are considered to be general isotropic or transversely isotropic.…”

Section: Introductionmentioning

confidence: 99%

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Non‐local stress and electric displacement solution of a 3D semi‐permeable rectangular crack in infinite orthotropic piezoelectric materials

2021

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The paper presents the non-local stress and electric displacement solution of a 3D semi-permeable rectangular crack in infinite orthotropic piezoelectric materials (OPMs). With the help of the generalized Almansi's theorem and 2D Fourier transform, the boundary problem is formulated by three pairs of dual integral equations, and the displacement jumps across the crack surfaces are defined. The Schmidt method is used to solve the dual integral equations. The non-local stress field (NSF) and the non-local electric displacement field (NEDF) along the crack edges are deduced. Numerical results are reported to explain the influence of the size of the rectangular crack, the lattice parameter and the electric permittivity of the air inside the crack on the NSF and the NEDF at the crack edges in OPMs in detail. The present non-local solutions exhibit no stress and electric displacement singularities along the crack edges, and may be benefit future works.

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“…As depicted in work [24], we have [ ( , , 0)] = 0, [ ( , , 0)] = 0, [ ( , , 0)] = 0 and [ ( , , 0)] = 0. Therefore, Equations ( 9)-( 12…”

Section: Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Non‐local stress and electric displacement solution of a 3D semi‐permeable rectangular crack in infinite orthotropic piezoelectric materials

2021

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“…Nejati et al [7] gauged the relationship between T-stress and material properties. Chen et al [8] has shown that Graded Poisson's ratio affects the T-stress. Additionally, Toshio et al [9] concluded that the Poison's ratio influences the T-stress on a three-dimensional edge-cracked plate.…”

Section: Introductionmentioning

confidence: 99%

An Extended Finite Element Method (XFEM) Study on the Elastic T-Stress Evaluations for a Notch in a Pipe Steel Exposed to Internal Pressure

et al. 2021

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The work investigates the importance of the K-T approach in the modelling of pressure cracked structures. T-stress is the constant in the second term of the Williams expression; it is often negligible, but recent literature has shown that there are cases where T-stress plays the role of opening the crack, also T-stress improves elastic modeling at the point of crack. In this research study, the most important effects of the T-stress are collected and analyzed. A numerical analysis was carried out by the extended finite element method (X-FEM) to analyze T-stress in an arc with external notch under internal pressure. The different stress method (SDM) is employed to calculate T-stress. Moreover, the influence of the geometry of the notch on the biaxiality is also examined. The biaxiality gave us a view on the initiation of the crack. The results are extended with a comparison to previous literature to validate the promising investigations.

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Gurtin and Murdoch's surface effect on the elastic behavior of an elastic half space subjected to body forces

Chen

Wang

Yue

2022

Engineering Analysis with Boundary Elements

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Mode-I pressurized axisymmetric penny-shaped crack in graded interfacial zone with variable modulus and Poisson’s ratio

Cited by 12 publications

References 54 publications

Non‐local stress and electric displacement solution of a 3D semi‐permeable rectangular crack in infinite orthotropic piezoelectric materials

Non‐local stress and electric displacement solution of a 3D semi‐permeable rectangular crack in infinite orthotropic piezoelectric materials

An Extended Finite Element Method (XFEM) Study on the Elastic T-Stress Evaluations for a Notch in a Pipe Steel Exposed to Internal Pressure

Gurtin and Murdoch's surface effect on the elastic behavior of an elastic half space subjected to body forces

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