Analytical/numerical solutions for a single hole-edge crack in a wide plate under pure bending

1993 ◽  
Vol 46 (5) ◽  
pp. 743-749 ◽  
Author(s):  
H. Gong ◽  
K.P. Jen ◽  
J.N. Majerus ◽  
S. Santhanam
Keyword(s):  
Edge Crack ◽  
Numerical Solutions ◽  
Pure Bending ◽  
Hole Edge ◽  
Single Hole

Analytical/numerical solutions for a single hole-edge crack in a narrow plate under pure bending

1993 ◽  
Vol 46 (5) ◽  
pp. 751-761 ◽  
Author(s):  
S. Santhanam ◽  
J.N. Majerus ◽  
K.P. Jen ◽  
D.S. Karanth
Keyword(s):  
Edge Crack ◽  
Numerical Solutions ◽  
Pure Bending ◽  
Hole Edge ◽  
Single Hole ◽  
Narrow Plate

scholarly journals An Analytical Model for Predicting the Stress Intensity Factor of Single-Hole-Edge Crack in Diffusion Bonding Laminates with Preset Unbonded Area

Metals ◽  
2020 ◽  
Vol 10 (11) ◽  
pp. 1526
Author(s):  
Yang Liu ◽  
Shutian Liu
Keyword(s):  
Stress Intensity Factor ◽  
Titanium Alloy ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Analytical Model ◽  
Diffusion Bonding ◽  
Edge Crack ◽  
Damage Estimation ◽  
Hole Edge ◽  
Single Hole

The diffusion bonding titanium alloy laminates with preset unbonded area (DBTALPUA) compared with other titanium alloy structural forms has good damage tolerance performance and designability. It is important to fast get the damage estimation of the DBTALPUA with crack. The stress intensity factor (SIF) of the crack is an effective indicator to give the damage estimation. In order to get the SIF fast, this paper proposed an analytical model to calculate SIF for single hole-edge crack in DBTALPUA with hole under tension loading. Comparison of the results obtained through this analytical model and numerical simulation illustrated that the analytical model can rapidly predict the SIF with fine precision.

The Effect of Principal Bending Curvature on the Lateral Buckling of Uniform Slender Beams

1977 ◽  
Vol 44 (2) ◽  
pp. 311-316
Author(s):  
D. A. Peters
Keyword(s):  
Numerical Solutions ◽  
Order Effect ◽  
Buckling Load ◽  
Beam Deflection ◽  
Cantilever Beams ◽  
Pure Bending ◽  
Lateral Buckling ◽  
First Order ◽  
Slender Beams ◽  
Support Conditions

The general lateral buckling equation is developed for a uniform, slender, simply supported beam fixed in torsion and with a load applied at the shear center of the midspan cross section. In this general equation, the effect of principal bending curvature (i.e., beam deflection prior to buckling) is completely accounted for. Therefore, a distinction is made between beams fixed in torsion about the deformed or undeformed elastic axis, and distinct boundary conditions are derived for each case. The equations for each of the two support conditions are then specialized to include only the first-order effect of principal bending curvature and these equations are compared with similar equations for cantilever beams and beams in pure bending. Finally, simplified buckling load formulas are derived and compared with numerical solutions of the general equations for each of the lateral buckling configurations. The comparison shows that the approximate formulas provide good estimates for the buckling load and that the classical buckling load formulas that neglect principal bending curvature are not always conservative for infinitely slender beams.

scholarly journals Experimental and numerical investigation of geometric effect on cavitation flow through orifice

2021 ◽  
Vol 22 ◽  
pp. 31
Author(s):  
Mohammad Reza Davoudi ◽  
Miralam Mahdi
Keyword(s):  
Numerical Solutions ◽  
Great Influence ◽  
Finite Volume Methods ◽  
Diameter Ratio ◽  
Cavitation Flow ◽  
Cavitation Model ◽  
Geometric Effect ◽  
Single Hole ◽  
Cavitation Phenomenon ◽  
Flow Through

Due to the set of factors and conditions, the stream pressure through the orifice decreases, which can lead to the occurrence of the cavitation phenomenon. The most important factor in this regard is the geometry of orifice. In the first part of this study, the flow through two types of single-hole orifice and a multi-hole orifice were experimentally studied. The results showed that the single hole orifice with a two-sided sloped edge caused less pressure drop, which in order to control the cavitation phenomenon is more efficient compared to the single-hole and multi-hole orifices with one-sided sloped edges and the same equal diameter ratio. Additionally, all experiments were simulated in the second part of this research using finite volume methods. Considering the complexity of the problem, several numerical solutions were investigated to approach the experimental results. Finally, it was determined that the type of gridding, turbulence method, and cavitation model have a great influence on the accuracy of the obtained numerical results.

J-Integral and Plastic Limit Load of Hole-Edge Crack in Plate under Biaxial Loadings

2014 ◽  
Vol 881-883 ◽  
pp. 1412-1415
Author(s):  
Yan Qing Zhang ◽  
Zhong Xian Wang ◽  
Wei Xu
Keyword(s):  
Edge Crack ◽  
Load Ratio ◽  
Limit Load ◽  
Fe Analysis ◽  
J Integral ◽  
Plastic Limit ◽  
Elastic Plastic ◽  
Hole Edge ◽  
Biaxial Load ◽  
Plastic Limit Load

Elastic-plastic J-integral and plastic limit load were described by finite element (FE) analysis for single hole-edge crack in plate under far field biaxial load. In this paper, the effect of biaxial load ratio (from -1 to 1) on elastic-plastic J-integral and plastic limit load was studied, the values of coefficient h1 for J-integral engineering estimation formulas were given and the effect of material hardening on plastic limit load was discussed. The result obtained from this work provides reference for fracture evaluation, so it can be used in engineering accurately and expediently.

scholarly journals Quantifying Hole-Edge Crack of Bolt Joints by Using an Embedding Triangle Eddy Current Sensing Film

Sensors ◽  
2021 ◽  
Vol 21 (7) ◽  
pp. 2567
Author(s):  
Shilei Fan ◽  
Junyan Yi ◽  
Hu Sun ◽  
Fenglin Yun
Keyword(s):  
Eddy Current ◽  
Edge Crack ◽  
Sensor Array ◽  
Structural Integrity ◽  
Crack Depth ◽  
The Novel ◽  
Current Sensing ◽  
Hole Edge ◽  
Good Potential ◽  
Excitation Winding

Hole-edge crack quantification of bolt joints is critical for monitoring and estimating structural integrity of aircraft. The paper proposes a new triangle eddy current sensor array for the purpose of increasing the level of quantifying hole-edge crack parameters, especially, the crack angle. The new senor array consists of triangular coils instead of planar rectangular coils. The configuration of the novel sensor array, including the excitation current directions and the excitation winding shape, is optimized by simulation. The ability of the proposed sensing film to identify the crack parameters has been verified by finite element simulations and experiments. Results shows that triangular coils with same current directions in circumferentially adjacent coils and opposite current directions in axially adjacent coils achieve better performance in sensor linearity and resolution compared to rectangular coils. In addition, it has also been proved that the sensing film has a good potential to identify the crack depth and length.

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