Investigation of Crack Effects on Isotropic Cantilever Beam

Soliman, Ehab Samir Mohamed Mohamed

doi:10.1007/s11668-019-00796-7

Cited by 5 publications

(2 citation statements)

References 28 publications

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“…Vibration-based inspection methodology is one of the modern approaches to non-destructive testing and evaluation (NDE) [4]. A noticeable shift in the natural frequencies is revealed by plotting the deformation responses in the Y-direction for the intact and cracked cantilever beams [5]. The effects of the developed damage in the structure are the reduction of the rigidity of the structure and altering the associated dynamic and static properties to some extent [6].…”

Section: Introductionmentioning

confidence: 99%

Damage severity for cracked simply supported beams

Soliman

2021

Frattura Ed Integrità Strutturale

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This paper investigated the static and dynamic behaviors of isotropic cracked simply supported beam using finite element analysis (FEA), ANSYS software. Modal and harmonic vibration analysis of intact and damaged beam were performed in order to extract mode shapes of bending vibration, natural frequencies and obtain frequency response diagram. Static finite element analysis of undamaged and damaged simply supported beam was carried out to determine zero frequency deflection, then stiffness of intact and cracked beam was computed using conventional formula. Crack damage severity of damaged beam was calculated and it is noticed that as crack position is increased from left hand support of beam up to central point and crack depth is increased, then crack damage severity increases. The effect of mode shape pattern is investigated and it is found that the amount of decreasing of natural frequency is proportional to the normalized mode shape at position of crack. The exhibited correlation between results for damaged beam revealed that crack damage severity is proportional to zero frequency deflection and inversely proportional to first mode frequency.

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Section: Introductionmentioning

confidence: 99%

Damage severity for cracked simply supported beams

Soliman

2021

Frattura Ed Integrità Strutturale

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“…He inferred that, the value of mode I intensity factor increased as the crack length and applied stresses increased. The severity of the crack is denoted by the stress intensity factor [18], so in the present work, evaluation of mode I SIF using finite element method is carried out to investigate the effect of crack type on crack severity in a 2D finite plate subjected to tensile uniaxial loading. For this purpose, the 2D numerical models of single edge cracked plate (SECP), center cracked plate (CCP) and double edge cracked plate (DECP) are developed using finite element analysis (FEA), ANSYS.…”

Section: Introductionmentioning

confidence: 99%

Mode I stress intensity factor with various crack types

Soliman

2021

Frattura Ed Integrità Strutturale

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Presence of cracks in mechanical components needs much attention, where the stress field is affected by cracks and the propagation of cracks may be occurred causing the damage. The objective of this paper is to present an investigation of crack type effect on crack severity in a finite plate. Three cases of cracked plate with three different types of cracks are assumed in this work, i.e., single edge crack, center crack and double edge crack. 2D numerical models of cases of cracked plate are established in finite element analysis (FEA), ANSYS software by adopting PLANE 183 element. Values of FEA mode I stress intensity factor SIF and Von-Mises stress at crack apex are determined for cases of cracked plate under tensile stress with different values. To identify the crack severity, the comparison of FEA results for different cracked cases is made. The comparison showed that, single edge cracked plate (SECP) has the maximum values of mode I SIF and Von-Mises stress at crack apex, i.e. the greatest crack severity is considered. Also, values of FEA Von-Mises stress at crack apex for center cracked plate (CCP) are moderate and for double edge cracked plate (DECP) are the minimum. Besides, in case of high crack lengths, it is found that, FEA results of mode I SIF in case of (CCP) are higher than those of in case of (DECP). Consequently, crack severity is considered as moderate in case of (CCP) and the minimum in case of (DECP). Empirical formulas are used to approximately estimate mode I SIF for all the case studies of cracked plate in this study and the results are compared to those of FEA. A good agreement between analytical and FEA results has been showed by this comparison.

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