On the use of linearized yield conditions for combined stresses in beams

Sankaranarayanan, R.; Hodge, Philip G.

doi:10.1016/0022-5096(58)90036-x

Cited by 10 publications

(2 citation statements)

References 9 publications

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“…Upper and lower approximations are obtained in [12] to the interaction curve of the bending and twisting couples at yield for the combined bending and twisting of cylinders of ideally plastic-rigid material. Yield criteria expressed in the paper [13] in terms of stress resultants are obtained for typical engineering structures, using the first fundamental theorem of limit analysis. These yield criteria, which are often non-linear, are then replaced by inscribed piecewise linear approximations.…”

Section: Combined Bending and Torsion Of A Bar Loaded By A Terminal mentioning

confidence: 99%

Elastic-plastic work-hardening deformation under combined bending and torsion and residual stresses in helical springs

Kobelev¹

2010

Int J Mater Form

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Residual stress plays an important role with respect to the operating performance of helical springs. Its effect on the different properties of a material (fatigue, fracture, corrosion, friction, wear, etc.) can be considerable. In the modern design of springs, residual stress has therefore to be taken into account. In the present article, the mathematical theory of residual stresses and strains in helical springs is introduced. The theory of residual stresses in helical springs allows calculating the stresses on all steps of manufacturing process, particularly during the coiling and presetting.

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Section: Combined Bending and Torsion Of A Bar Loaded By A Terminal mentioning

confidence: 99%

Elastic-plastic work-hardening deformation under combined bending and torsion and residual stresses in helical springs

Kobelev¹

2010

Int J Mater Form

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“…[6], yield criteria expressed in terms of stress resultants are obtained for typical engineering structures, using the first fundamental theorem of limit analysis. These yield criteria, which are often nonlinear, are then replaced by inscribed piecewise linear approximations.…”

Section: Introductionmentioning

confidence: 99%

Elastoplastic Stress Analysis and Residual Stresses in Cylindrical Bar Under Combined Bending and Torsion

Kobelev

2011

Journal of Manufacturing Science and Engineering

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The excessive stresses during the coiling of helical springs could, lead to breakage of the rod. Moreover, the high level of residual stress in the formed helical .spring reduces considerably its fatigue life. For the practical estimation of residual and coiling stres,ses in the helical springs the analytical formulas are necessary. In this paper the analytical .solution of the problem of elastic-plastic deformation of cylindrical bar under combined bending and torsion moments is found for a special nonlinear stress-strain law. The obtained solution allows the analysis of the active stres.ses during the combined bending and twist. Moreover, the residual .ftre.sses in the bar after springback are also derived in closed analytical form. The results of this analysis are applied to the actual engineering problem of determination of stresses during the manufacturing of helical coiled springs. A practically important example, describing the manufacturing of helical coiled spring is worked out to illu.itrate the simplicity achieved in determining the plasticization process and residual stre.sses. The obtained re.mlts match the reported measured values. The developed method does not require numerical simulation and is perfectly suited for programming of coiling machines, estimation of loads during manufacturing of cold-wounded helical springs and for dimensioning andwear calculation of coiling tools.

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Coiling of Helical Springs

Kobelev

2021

Durability of Springs

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On the use of linearized yield conditions for combined stresses in beams

Cited by 10 publications

References 9 publications

Elastic-plastic work-hardening deformation under combined bending and torsion and residual stresses in helical springs

Elastic-plastic work-hardening deformation under combined bending and torsion and residual stresses in helical springs

Elastoplastic Stress Analysis and Residual Stresses in Cylindrical Bar Under Combined Bending and Torsion

Coiling of Helical Springs

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