An investigation of plastic flow and differential work hardening in orthotropic brass tubes under fluid pressure and axial load

Hill, R.; Hecker, S.S.; Stout, M.G.

doi:10.1016/0020-7683(94)90065-5

Cited by 149 publications

(55 citation statements)

References 6 publications

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“…Hill and Hutchinson (1992) proposed a simple constitutive model to account for progressive changes in the yield locus shape as plastic deformation accumulates. Hill et al (1994) proposed a new constitutive analysis method by focusing on the contours of equal plastic work (henceforth referred to as work contour) in the stress space; the change in shape of successive work contours with increasing deformation was formulated. They further assumed that the successive work contours act instantaneously as plastic potentials; a normality flow rule applies in relation to the work contours.…”

Section: Introductionmentioning

confidence: 99%

Effect of Biaxial Work Hardening Modeling for Sheet Metals on the Accuracy of Forming Limit Analyses Using the Marciniak-Kuczyński Approach

Hakoyama

Kuwabara

2015

Advanced Structured Materials

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A servo-controlled tension-internal pressure testing machine with an optical 3D deformation analysis system (ARAMIS , GOM) was used to measure the multiaxial plastic deformation behavior of a high-strength steel sheet with a tensile strength of 590 MPa for a strain range from initial yield to fracture. Tubular specimens were fabricated by roller bending and laser welding the as-received flat sheet materials. Many linear stress paths in the first quadrant of the stress space were applied to the tubular specimens to measure the forming limit curve (FLC), forming limit stress curve (FLSC), and forming limit plastic work per unit volume (FLPW) of the as-received sheet material in addition to the contours of plastic work and the directions of the plastic strain rates. Differential hardening behavior was observed; the shapes of the work contours constructed in the principal stress space changed with an increase in plastic work. The observed differential hardening behavior was approximated by changing the material parameters and the exponent of the Yld2000-2d yield function as functions of the reference plastic strain. Marciniak-Kuczyński-type forming limit analyses were performed using both the differential hardening model and isotropic hardening models based on the Yld2000-2d yield function. It was found that the material model that is capable of reproducing both the work contours and the directions of the plastic strain rates measured for a strain range close to the fracture limit can give a more effective constitutive model for accurately predicting the FLC, FLSC, and FLPW.T. Hakoyama JSPS Research Fellow (Doctoral Course Students),

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Section: Introductionmentioning

confidence: 99%

Effect of Biaxial Work Hardening Modeling for Sheet Metals on the Accuracy of Forming Limit Analyses Using the Marciniak-Kuczyński Approach

Hakoyama

Kuwabara

2015

Advanced Structured Materials

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“…The compressive plastic behaviour was investigated by biaxial compression tests along linear strain paths. The contours of equi-expenditure of plastic work introduced by Hill et al [9] were evaluated by compressions along various linear strain paths to examine the change of yield surfaces and hardening behaviour with straining, as shown in Fig. 4.…”

Section: Compressive Plastic Behaviourmentioning

confidence: 99%

Plastic behaviour and forming limit during biaxial compressions of magnesium alloy AZ31 at room temperature

Shimizu

Tada

2010

EPJ Web of Conferences

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Abstract. The plastic behaviour and compressive fracture of AZ31 magnesium alloy were examined at room temperature. The uniaxial compression tests and biaxial compression tests along linear and nonlinear strain paths were carried out until fracture using a unique biaxial compression testing machine developed by author. The results revealed the evolution of plastic anisotropy in biaxial compressions, that is the strain path dependency of work hardening. The adaptability of several forming limit criteria to the compressive fracture of AZ31 alloy was discussed. It was found that the uniform estimation of compressive forming limits by uniaxial and biaxial compressions was difficult by Freudenthal criterion and Oyane criterion. The result of Tresca energy criterion suggested that the criterion based on shear stress has possibility to predict the compressive forming limits at room temperature of AZ31 alloy.

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“…The change in the contour of plastic work is called the differential hardening. 13,14) They supposed that the effect of crystal texture on differential hardening was less because the crystal texture hardly changed at the initial biaxial deformation.…”

Section: Effect Of Microstructure Variation On Differential Hardeningmentioning

confidence: 99%

“…[11][12][13][14] Here, we define the stress ratio, X, as an index to analyze the differential hardening behaviors as follows: 2) where σ u is the true stress at a certain plastic work in the uniaxial tensile test, and σ b is the true stress in the biaxial tensile test at the same plastic work as that in the uniaxial test. The value of X is constant when the material exhibits the isotropic hardening behavior.…”

Section: Work Hardening Behaviors In Uniaxial and Equi-mentioning

confidence: 99%

Effect of Microstructure Variation on Differential Hardening Behavior of Steel Sheets under Biaxial Tensile State

et al. 2016

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An investigation of plastic flow and differential work hardening in orthotropic brass tubes under fluid pressure and axial load

Cited by 149 publications

References 6 publications

Effect of Biaxial Work Hardening Modeling for Sheet Metals on the Accuracy of Forming Limit Analyses Using the Marciniak-Kuczyński Approach

Effect of Biaxial Work Hardening Modeling for Sheet Metals on the Accuracy of Forming Limit Analyses Using the Marciniak-Kuczyński Approach

Plastic behaviour and forming limit during biaxial compressions of magnesium alloy AZ31 at room temperature

Effect of Microstructure Variation on Differential Hardening Behavior of Steel Sheets under Biaxial Tensile State

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