The fracture mechanics of cantilever beams with an embedded sharp crack under end force loading

Fang, Xiaomin; Charalambides, Panos G.

doi:10.1016/j.engfracmech.2015.09.039

Cited by 12 publications

(6 citation statements)

References 28 publications

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“…As discussed in Ref. [47], for the cracked cantilever beam, the deflection angle of the cross-section AB can be assumed to be the sum of the deflection angle of the cross-section at X 1 relative to that at X 0 and the deflection angle of the cross-section at X c relative to that at X 1 :…”

Section: Crack-induced Local Flexibilities At Crack Tipsmentioning

confidence: 99%

“…By a static FE analysis [31,47] and experimental validation [31], one can find that the curvature of the static deflection of a cantilever beam at the center of a horizontal crack is the same as that of the corresponding beam without the crack:…”

Section: Crack-induced Local Flexibilities At Crack Tipsmentioning

confidence: 99%

“…This work builds on parallel studies in Ref. [47] where the macro-mechanics of a cantilever beam with an embedded horizontal crack under a static load is addressed.…”

Section: Introductionmentioning

confidence: 99%

“…A more detailed comparison of the J-integral results using the analytical and FE methods is presented in Ref. [47].…”

Section: Introductionmentioning

confidence: 99%

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A dynamic model of a cantilever beam with a closed, embedded horizontal crack including local flexibilities at crack tips

Liu

Zhu

Charalambides

et al. 2016

Journal of Sound and Vibration

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As one of major failure modes of mechanical structures subjected to periodic loads, embedded cracks due to fatigue can cause catastrophic failure of machineries.Understanding the dynamic characteristics of a structure with an embedded crack is helpful for early crack detection and diagnosis. In this work, a new three-segment beam model with local flexibilities at crack tips is developed to investigate the vibration of a cantilever beam with a closed, fully embedded horizontal crack, which is assumed to be not located at its clamped or free end or distributed near its top or bottom side. The three-segment beam model is assumed to be a linear elastic system, and it does not account for the nonlinear crack closure effect; the top and bottom © 2016. This manuscript version is made available under the Elsevier user license http://www.elsevier.com/open-access/userlicense/1.0/ 2 segments always stay in contact at their interface during the beam vibration. It can model effects of local deformations in the vicinity of the crack tips, which cannot be captured by previous methods in the literature. The middle segment of the beam containing the crack is modeled by a mechanically consistent, reduced bending moment. Each beam segment is assumed to be an Euler-Bernoulli beam, and the compliances at the crack tips are analytically determined using a J-integral approach and verified using commercial finite element software. Using compatibility conditions at the crack tips and the transfer matrix method, the nature frequencies and mode shapes of the cracked cantilever beam are obtained. The three-segment beam model is used to investigate the effects of local flexibilities at crack tips on the first three natural frequencies and mode shapes of the cracked cantilever beam. A stationary wavelet transform (SWT) method is used to process the mode shapes of the cracked cantilever beam; jumps in single-level SWT decomposition detail coefficients can be used to identify the length and location of an embedded horizontal crack. Closed crack; J-integral; Three-segment beam model J J J J J J      (2) where the superscript r denotes the right part. For segments BC and DE, dY=0 and T i =0; hence 0 r BC J  , 0 r DE J  (3) For segment AB, one has c c c c J J J

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Section: Crack-induced Local Flexibilities At Crack Tipsmentioning

confidence: 99%

Section: Crack-induced Local Flexibilities At Crack Tipsmentioning

confidence: 99%

See 2 more Smart Citations

A dynamic model of a cantilever beam with a closed, embedded horizontal crack including local flexibilities at crack tips

Liu

Zhu

Charalambides

et al. 2016

Journal of Sound and Vibration

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show abstract

“…A novel fingerprint template protection scheme based on chaotic encryption was proposed in [16]. The study of article [17] suggests that the near-tip conditions for both the left and right crack tips in systems with non-horizontal cracks are dominated by mixed mode conditions. A novel simple algorithm for dynamic intelligent load balancing was proposed for decreasing the power losses in a power distribution network [18].…”

Section: Introductionmentioning

confidence: 99%

Mobile service aware opportunistic embedded architecture of mobile crowd sensing networks for power network measurement

Zhang¹,

Yang²

2016

J Embedded Systems

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In order to improve the intelligent degree and robustness optimization of power grid management system, the opportunistic embedded architecture was proposed for power network measurement with mobile service aware scheme. First, the mobile crowd sensing network for power grid management was proposed to realize the intelligent power grid management. Then, we designed the mobile service aware opportunistic embedded system based on the requirements of intelligent power grid management and deployment of mobile crowd sensing network. Thirdly, the grid of embedded systems was demonstrated for intelligent management. The experimental results show that the proposed scheme has obvious advantages in system complexity, execution efficiency, intelligent power grid management level, etc.

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Mechanics of Ice Adhesion

Nazifi,

Ghasemi

2024

Progress in Adhesion and Adhesives

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The fracture mechanics of cantilever beams with an embedded sharp crack under end force loading

Cited by 12 publications

References 28 publications

A dynamic model of a cantilever beam with a closed, embedded horizontal crack including local flexibilities at crack tips

A dynamic model of a cantilever beam with a closed, embedded horizontal crack including local flexibilities at crack tips

Mobile service aware opportunistic embedded architecture of mobile crowd sensing networks for power network measurement

Mechanics of Ice Adhesion

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