Analysis of circular cross-section element, loaded by static and cyclic elastic–plastic pure bending

Daunys, M.; Rimovskis, Sergėjus

doi:10.1016/j.ijfatigue.2005.06.018

Cited by 18 publications

(13 citation statements)

References 3 publications

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“…The author analyses the drift of the stress neutral a xis fro m the centroidal axis of beam, if parameters of plastic tension and compression (proportional limits, modulus of hardening) are not equal. Circular cross-section linear hardening element under pure bending is studied in [12,13]. Derived equations are fitted to analysis of cyclic pure bending.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Rectangular and Circular Cross-section Power Hardening Elements Under Pure Bending

Rimovskis¹,

Sabaliauskas²

2013

IJME

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Eng ineering theory of elastic plastic bending is used in solving a grate variety of strength and durability problems. The accuracy of analysis depends on stress-strain curve idealizat ion model. The elastic linear hardening stress-strain relation is simp le and frequently used. But the actual stress-strain behaviour of ductile material in plastic reg ion is non-linear and, therefore, elastic power hardening material model is more p referab le. Moreover, the properties of monotonic tension and compression as proportional limits and parameters of hardening can differ. In this regard, analytical solution for rectangular and circular cross-section elements loading by monotonic elastic plastic pure bending is presented in the paper. The simp le power relation of stress and strain response is used. The equations describing deviation of the stress neutral axis fro m centroidal axis of an element and dimensionless bending mo ment are derived.

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Section: Introductionmentioning

confidence: 99%

Analysis of Rectangular and Circular Cross-section Power Hardening Elements Under Pure Bending

Rimovskis¹,

Sabaliauskas²

2013

IJME

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“…4 testify that the proposed relationships (6), (8), (10), and (12) are in good agreement with the experimental data and can be directly applied in the practice provided that the type of loading, values of the relative stress gradients and theoretical stress concentration factors, and certain mechanical properties of the material are known.…”

mentioning

confidence: 67%

“…2 that the rate of increase in the function f ( ) h with an increase in h is higher for smooth specimens than for specimens with stress concentrators, which is confirmed by the experimental data. The analysis of the relationships presented in Table 2 shows that, according to them, the effective stress concentration factor increases with the ratio s s (6), (8), (10), and (12). It is seen that the experimental and calculated values of the fatigue limits correspond to a single correlation relationship with a high correlation coefficient R = 0.983 to 0.997.…”

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confidence: 99%

Fatigue limits of steels and stress gradient*

Troshchenko

Khamaza

2011

Strength Mater

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Based on generalizing the results of numerous experimental investigations, the empirical relationships between the fatigue limit of steels and the stress gradient are proposed and justified, which take into account the fatigue damage behavior of smooth specimens and specimens with stress concentrators. A method for determining the parameters of these relationships with consideration of the mechanical properties of steels is proposed. Good agreement of the proposed relationships with the experimental results is shown.Introduction. Numerous experimental investigations on high-cycle fatigue of metals and alloys show a significant increase in the fatigue limit with an increase in the stress gradient that characterizes the nonuniformity of the stress distribution over the specimen cross section.Thus, the fatigue limits in bending are considerably higher than those under axial loading, the local stresses at the stress concentrator tip that correspond to the fatigue limits are higher than the fatigue limits in the uniform stressed state.The generalization of the investigation results is done either by constructing the empirical relationships that relate the fatigue limit value to the stress gradient [1], or by constructing the models that are based on certain hypotheses.It is supposed in [2] that the difference in the fatigue limits in the uniform and nonuniform stressed states is governed by the difference between the nominal stresses calculated on the assumption of elastic deformation and the actual ones calculated taking into account the inelastic cyclic deformation in the nonuniform stressed state.In the studies described in [3, 4, and others], the stress gradient effect is explained in terms of statistical strength theories.In the investigations [5, 6, and others], the explanation of this effect is given in terms of critical distance theories, which assume that either stresses at some distance from the surface or averaged stresses in the surface layer are responsible for the fatigue fracture.In [7-10, and others], the stress gradient effect is due to the difference in the inelastic deformation behavior of surface layers of the metal under conditions of uniform and nonuniform stressed states.All the mechanisms that underlie the above hypotheses take place, to a certain extent, in real materials during fatigue fracture. With the use of the relationships that are based on one of these hypotheses, the consideration of the effect of other factors is achieved by the empirical selection of parameters in the chosen model.Empirical relationships that relate the fatigue limit to the stress gradient are the most simple to use because there is no need to determine the parameters corresponding to different hypotheses, which is not an easy task.At the same time, empirical relationships, many of which have been formulated quite a long time ago, need to be further improved taking into account new experimental data, with new approaches to generalizing experimental results being developed.

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“…At pure bending the requirements for the specimen are the same as for the tension compression specimen (Daunys and Rimovskis, 2006). The scheme of used hardened and non-hardened specimen for pure bending is showed in Fig.…”

Section: Methodology For Low Cycle Pure Bendingmentioning

confidence: 99%

Influence of Hardened Surface on Low Cycle Fatigue Characteristics at Tension-compression and Bending

Sabaliauskas

Rimovskis

Dostál

2015

Acta Univ. Agric. Silvic. Mendelianae Brun.

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This paper analyses electromechanical hardening of the steel parts surface, when in the contact area so called "white layer" is formed. The experiments were performed to show the infl uence of "white layer" on strength of the steel C45 specimens under low cycle loading. This paper analyses monotonic and low cycle tension compression and pure bending characteristics of specimens with electromechanically hardened surface. The Performed experiments showed that under monotonic tension strength characteristics ( pr ,  02 ,  u ) are increasing and strain characteristics (e u , ) are decreasing. During cyclic stress limited tension compression at low loading levels both the width of plastic strain hysteresis loop and accumulated plastic strain are decreasing, therefore the lifetime is increasing. Under pure bending this tendencies persist, but in this case the lifetime at all loading levels is larger than the lifetime at tension compression.

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Analysis of circular cross-section element, loaded by static and cyclic elastic–plastic pure bending

Cited by 18 publications

References 3 publications

Analysis of Rectangular and Circular Cross-section Power Hardening Elements Under Pure Bending

Analysis of Rectangular and Circular Cross-section Power Hardening Elements Under Pure Bending

Fatigue limits of steels and stress gradient*

Influence of Hardened Surface on Low Cycle Fatigue Characteristics at Tension-compression and Bending

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