Extended displacement discontinuity method for nonlinear analysis of penny-shaped cracks in three-dimensional piezoelectric media

Fan, CuiYing; Guo, Zheng; Dang, HuaYang; Zhao, Minghao

doi:10.1016/j.enganabound.2013.09.014

Cited by 21 publications

(2 citation statements)

References 41 publications

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“…By applying Equation (46) and substituting Equations ( 27) and (28) into Equations ( 23) and (24), respectively, the values of elastic displacement u * z k and electric potential φ * k on the z ¼ 0 can be obtained as follows:…”

Section: Solution To the Problemmentioning

confidence: 99%

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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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Section: Solution To the Problemmentioning

confidence: 99%

“…A penny-shaped crack has been considered in a piezoelectric medium to analyze the coupling behavior [23]. 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].…”

Section: Introductionmentioning

confidence: 99%