Dugdale plastic zone of a penny-shaped crack in a piezoelectric material under axisymmetric loading

Hu, Keqiang; Chen, Zengtao

doi:10.1007/s00707-015-1501-5

Cited by 13 publications

(3 citation statements)

References 37 publications

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“…The stress yielding behaviors at the crack tip in piezoelectric or electro-magneto-elastic media are of academical and engineering significance [31][32][33][34][35]. Hu and Chen [31,32], making use of the Dugdale model, investigated the stress yielding at the crack tip in a piezoelectric or magneto-electroelastic medium. The relationship between the length of the strip stress yielding zone and the applied loads are obtained [31,32].…”

Section: Discussionmentioning

confidence: 99%

“…Hu and Chen [31,32], making use of the Dugdale model, investigated the stress yielding at the crack tip in a piezoelectric or magneto-electroelastic medium. The relationship between the length of the strip stress yielding zone and the applied loads are obtained [31,32]. Based on the PS model and the Dugdale model, Lapusta and Loboda [33] and Loboda et al [34,35] studied the stress yielding and electrical saturation at the tip of an interface crack in piezoelectric media, and the sizes of stress and electric yielding zones are determined from the conditions of the finite normal stress and the finite electrical displacement.…”

Section: Discussionmentioning

confidence: 99%

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Electric and magnetic polarization saturations for a thermally loaded penny-shaped crack in a magneto-electro-thermo-elastic medium

Kang

et al. 2017

Smart Mater. Struct.

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This paper is devoted to investigating the thermal-induced electric and magnetic polarization saturations (PS) at the tip of a penny-shaped crack embedded in an infinite space of magneto-electro-thermo-elastic medium. In view of the symmetry with respect to the cracked plane, this crack problem is formulated by a mixed boundary value problem. By virtue of the solution to the Abel type integral equation, the governing equations corresponding to the present problem are analytically solved and the generalized crack surface displacement and field intensity factors are obtained in closed-forms. Applying the hypothesis of the electric and magnetic PS model to the analytical results, the sizes of the electric and magnetic yielding zones are determined. Numerical calculations are carried out to reveal the influences of the thermal load and the electric and magnetic yielding strengths on the results, and to show the distributions of the electric and magnetic potentials on the crack surfaces. It is found that the sizes of electric and magnetic yielding zones are mainly dependent on the electric and magnetic yielding strengths, respectively. Since the multi-ferroic media are widely used in various complex thermal environments, the present work could serve as a reference for the designs of various magneto-electric composite structures.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Electric and magnetic polarization saturations for a thermally loaded penny-shaped crack in a magneto-electro-thermo-elastic medium

Kang

et al. 2017

Smart Mater. Struct.

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“…Penny-shaped cracks in 3D piezoelectric media are analyzed by the extended displacement discontinuity method [24]. The Dugdale plastic zone of a penny-shaped crack under axisymmetric loading has been analyzed [25]. Wu at al.…”

Section: Introductionmentioning

confidence: 99%

Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials

Zhang,

Li,

Liu

et al. 2023

Advances in Mathematical Physics

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In this section, the dynamic propagation behavior of a penny-shaped interface crack in piezoelectric bimaterials is analyzed. The objective of this paper is to use the boundary conditions of the penny-shaped interface crack to study the dynamic propagation of the crack under the action of load, so as to provide some valuable implications for the fracture mechanics of the piezoelectric bimaterials and simulate the interface crack between piezoelectric bimaterials, it is necessary to establish a suitable model and give appropriate boundary conditions according to the actual situation. The elastic displacement and potential equations are constructed according to the structural characteristics of the circular crack. In the case of a given displacement or stress, the Laplace transform and Hankel transform are used to simplify the problem into an integral equation with unknown functions. According to the boundary conditions, the corresponding unknowns are obtained, and the closed solution is derived. The results show that the fracture toughness of a penny-shaped interface crack in piezoelectric bimaterials is related to the thickness of the material, the impact time, the material characteristics, and the electric field. At the same time, it can be found that different materials have different roles in the crack propagation, so it is very important to study the crack opening displacement (COD) intensity factor of the crack for safety design.

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Dugdale plastic zone model of a penny-shaped crack in a magnetoelectroelastic cylinder under magnetoelectroelastic loads

Liu

Feng

2018

Arch Appl Mech

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Dugdale plastic zone of a penny-shaped crack in a piezoelectric material under axisymmetric loading

Cited by 13 publications

References 37 publications

Electric and magnetic polarization saturations for a thermally loaded penny-shaped crack in a magneto-electro-thermo-elastic medium

Electric and magnetic polarization saturations for a thermally loaded penny-shaped crack in a magneto-electro-thermo-elastic medium

Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials

Dugdale plastic zone model of a penny-shaped crack in a magnetoelectroelastic cylinder under magnetoelectroelastic loads

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