Dynamic fracture behavior for functionally graded piezoelectric bi-materials with interfacial cracks near a circular hole

An, Ni; Song, Tianshu

doi:10.1080/17455030.2021.1936284

Cited by 2 publications

(2 citation statements)

References 28 publications

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“…With the emergence of functionally graded materials, research on the mechanics of such materials has become indispensable. An et al [8] proposed a method to evaluate stress concentration near a circular opening at a permeable interface crack tip in exponentialgradient piezoelectric biomaterials. They established a mechanical model of the crack using the crack connection method and derived the dynamic stress intensity factors at the crack tip.…”

Section: Introductionmentioning

confidence: 99%

“…Although significant research achievements have been made in stress concentration around openings, most of the studies found in the existing literature focuses on the steadystate response of dynamic stress [3][4][5][6][7][8][9][10][11]17,18]. Currently, few studies provide analytical solutions for the transient response of materials with openings.…”

Section: Introductionmentioning

confidence: 99%

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Transient Response of Dynamic Stress Concentration around a Circular Opening: Incident SH Wave

Weng,

Wang,

Zhou

et al. 2023

Applied Sciences

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The present study aims to investigate the transient response of stress concentration around a circular opening. The study focuses on the composition of the shockwave, which consists of SH waves of multiple frequencies. The wave equation, expressed by the displacement function, is transformed into the Helmholtz equation through the Fourier transform method. The spectral function can be obtained by employing analytic continuation and Fourier transform of the incident wave field. An analytical expression for the dynamic stress around the aperture can be derived using the wave function expansion method and by considering the boundary conditions. The influence of the aperture on the transient response is discussed based on the distribution of the dynamic stress concentration coefficient and stress peak coefficient under different aperture sizes. The results show that the peak of the dynamic stress concentration coefficient changes with the aperture. In contrast, the stress peak coefficient is primarily concentrated in the early stages of the transient response. Furthermore, it is observed that larger radii can induce alternating stress in the material, which may lead to fatigue failure. This strategy provides a solution for addressing similar challenges.

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Section: Introductionmentioning

confidence: 99%