An inverse approach to determination of residual stresses induced by shot peening in round bars

Farrahi, G.H.; Faghidian, S. Ali; Smith, David J.

doi:10.1016/j.ijmecsci.2009.08.004

Cited by 46 publications

(15 citation statements)

References 19 publications

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“…Through the solution of the finite element model of the elliptic cylinder gear, the distribution area of the effective stress of the tooth surface is obtained, as shown in Figure 9, which shows that the contact area of the tooth surface in the process of gear engagement is also elliptical and consistent with the analysis in the literature [18][19][20][21][22], which further verifies the accuracy of the analysis method proposed in article. Figure 10 shows the distribution of the effective stress of the six teeth.…”

Section: Comparative Analysis Of Tooth Effective Stresssupporting

confidence: 77%

Meshing Error of Elliptic Cylinder Gear Based on Tooth Contact Analysis

Changbin

Liu

Wei

2020

IJE

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In order to study the dynamic meshing characteristics of the elliptic cylinder gear and obtain the meshing error of the gear transmission system, the two-dimensional static contact analysis of the gear tooth surface is carried out using ANSYS software, and the key parts of the contact area of the tooth surface are determined. Then, the dynamic meshing model of the elliptic cylinder gear is established and the dynamic contact process under load is simulated by ANSYS LS-DYNA software. The distribution law of effective plastic strain, effective stress and pressure of the driving and driven wheels are obtained. On this basis, the distribution law of meshing error is obtained by calculation. The results show that the distribution of stress, strain and tooth surface pressure during tooth meshing is related to the position of the tooth on the elliptical pitch curve. The position of the tooth on the pitch curve and the load it bears has a certain influence on the meshing error. The results of this research can provide some guidance for subsequent study of transmission error of non-circular gears, gears modification and engineering applications.

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Section: Comparative Analysis Of Tooth Effective Stresssupporting

confidence: 77%

Meshing Error of Elliptic Cylinder Gear Based on Tooth Contact Analysis

Changbin

Liu

Wei

2020

IJE

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“…The reconstruction analysis is similar to that used by the authors in earlier work. [13][14][15] Similar approaches for reconstruction of residual stresses have been developed by Korsunsky et al 16 An analytical solution for the residual strains, as a function of an arbitrary eigenstrain distribution, was derived for the analysis of residually stressed bars. Jun and Korsunsky 17 used a finite element based formulation to determine the eigenstrain distribution in a shot-peened sample and friction stir welds, from a set of measurements of residual stresses.…”

Section: Introductionmentioning

confidence: 98%

Measurement, analysis and reconstruction of residual stresses

Faghidian

Goudar

Farrahi

et al. 2012

The Journal of Strain Analysis for Engineering Design

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Residual stresses, created in a steel beam by elastic-plastic bending, are predicted using an approximate analysis and the finite element method. The predictions are compared to experimental measurements obtained from the application of incremental centre hole drilling, deep hole drilling and neutron diffraction methods. Finite element simulations of the incremental centre hole drilling and deep hole drilling methods applied to the predicted residual stresses permitted an assessment of their ability to reconstruct the stresses. An analytical reconstruction analysis using an Airy stress function together with boundary and equilibrium conditions is developed and applied to the predictions and measurements. The reconstruction of the predictions enabled a reference case to be developed and used to assess the application of the reconstruction process to experimental data. It is shown that satisfactory through depth residual stress profiles can be obtained, providing the errors are about the same of those found in the measurement techniques.

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“…Reconstruction of residual stress distribution due to surface peening was first attempted by Korsunsky (2005) utilizing the variational eigenstrain approach. Afterward based on the stress function approach, axi-symmetric residual stress field was reconstructed in shot-blasted steel round bars (Farrahi et al, 2009b). Also Jun et al (2011) analyzed residual elastic strains in non-uniformly shaped shot-peened samples based on the variational eigenstrain approach.…”

Section: Latin American Journal Of Solids and Structures 12 (2015) 23mentioning

confidence: 99%

“…Although a variety of examples exists for numerical selection of such variable parameters in stress function approach (Faghidian, 2014(Faghidian, , 2015Farrahi et al 2009aFarrahi et al , 2009bFaghidian et al, 2012) based on the well-posedness of the reconstructed solution considering relatively small condition number of the system of linear equations (Allaire and Kaber, 2008) Nonetheless numerical determination of appropriate values for shape function parameters results in a truncated series with six terms that has a fast convergence. It should be noted that, the convergence criterion for the asymptotic series would be defined as the norm of the discrepancy of successive approximations is of the order of the noise in data.…”

Section: Latin American Journal Of Solids and Structures 12 (2015) 23mentioning

confidence: 99%

A Note on the Inverse Reconstruction of Residual Fields in Surface Peened Plates

Faghidian

2015

Lat. Am. j. solids struct.

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A modified stress function approach is developed here to reconstruct induced stress, residual stress and eigenstrain fields from limited experimental measurements. The present approach is successfully applied to three experimental measurements set in surface peened plates with shallow shot peening affected zone. The well-rehearsed advantage of the proposed approach is that it not only minimizes the deviation of measurements from its approximations but also will result in an inverse solution satisfying a full range of continuum mechanics requirements. Also, the effect of component thickness as a geometric parameter influencing the residual stress state is comprehensively studied. A key finding of present study is that the plate thickness has no influence on the maximum magnitude of eigenstrain profile and compressive residual stresses within the shot peening affected zone while having a great influence on the magnitude of tensile residual stress and the gradient of linear residual stresses present in deeper regions.

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An inverse approach to determination of residual stresses induced by shot peening in round bars

Cited by 46 publications

References 19 publications

Meshing Error of Elliptic Cylinder Gear Based on Tooth Contact Analysis

Meshing Error of Elliptic Cylinder Gear Based on Tooth Contact Analysis

Measurement, analysis and reconstruction of residual stresses

A Note on the Inverse Reconstruction of Residual Fields in Surface Peened Plates

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