Measurement and analysis of differential work hardening in cold-rolled steel sheet under biaxial tension

Kuwabara, Toshihiko; Ikeda, Satoshi; Kuroda, Kensuke

doi:10.1016/s0924-0136(98)00155-1

Cited by 348 publications

(212 citation statements)

References 18 publications

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“…In order to investigate the initial and subsequent yield behavior of the materials, the concept of plastic work contour was adopted [11]. Plastic work contours are commonly considered as yield loci for simplicity.…”

Section: Measurement Of the Experimental Yield Locimentioning

confidence: 99%

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Temperature-dependent yield criterion for high strength steel sheets under warm-forming conditions

Cai

Diao

et al. 2015

MATEC Web of Conferences

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Abstract. In this paper, uniaxial and biaxial tensile tests with cruciform specimens were conducted to investigate the deformation behaviour of dual phase steel sheet with a tensile strength of 590 MPa (DP590) under evaluated warm-forming temperatures • C). Detailed analyses were then carried out to obtain the corresponding experimental yield loci. For the purpose of describing the temperature-dependent yield behaviour of DP590 appropriately, the Yld2000-2d yield function with temperaturedependent exponent was proposed. The identification procedures of the introduced parameters were then proposed based on Levenberg-Marquardt optimization algorithm. Afterwards, the proposed model was implemented into ABAQUS as user subroutine VUMAT with NICE (Next Increment Corrects Error) explicit integration scheme. The numerical simulations of biaxial tensile tests were then conducted to confirm the validity of the proposed model. It could be concluded that the flexibility and accuracy of the proposed model guarantee the applicability in warm-forming applications.

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Section: Measurement Of the Experimental Yield Locimentioning

confidence: 99%

“…The¯ and¯ are the equivalent stress and equivalent plastic strain, normally referring to the true stress and logarithmic strain obtained by uniaxial tensile test from rolling direction. A detailed description of calculating the plastic work contour was given by Kuwabara et al [11].…”

Section: Measurement Of the Experimental Yield Locimentioning

confidence: 99%

Temperature-dependent yield criterion for high strength steel sheets under warm-forming conditions

Cai

Diao

et al. 2015

MATEC Web of Conferences

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“…This means that the force ratio in the simulation is controlled rather than the stress ratio. Figure 1(a) shows the biaxial specimen used in this study and originally proposed by Kuwabara et al [1]. The sheet metal used in this study is a dual phase steel with a tensile strength of 590 MPa (JSC590Y) and an initial thickness of 1.2 mm.…”

Section: Evolution Of the Theoretical Stress Errormentioning

confidence: 99%

“…The introduction of slits in the arms of a cruciform specimen, as originally proposed by Kuwabara et al [1] (Fig.1(a)), has been instrumental in avoiding geometrical constraints on the biaxial gauge area. Recently, Hanabusa et al [2] proposed a method to further improve the accuracy of the testing method.…”

Section: Introductionmentioning

confidence: 99%

On stress measurement errors in biaxial tensile testing and the impact on yield surface identification

Coppieters¹,

Hakoyama²,

Yanaga³

et al. 2013

AIP Conference Proceedings

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Abstract. In a biaxial tensile test on the sheet metal the calculation of the local stress tensor is based on the experimentally measured biaxial forces and surface strain at a well-defined position within the biaxial gauge area. The surface strains in this study are measured via our in-house digital image correlation system. A numerical method is proposed to estimate the influence of the experimental strain measurement error with respect to the stress error and the amount of plastic work per unit volume. In addition, the impact of the strain measurement error on the accuracy of yield surface identification is discussed.

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“…Figure 1(a) is the specimen for the uniaxial tensile test (JIS 13 B-type). Figure 1(b) is the specimen for the biaxial tensile test of sheet metals, which was originally proposed by Kuwabara et al,13) and is the same as those used for the biaxial tensile tests of steel alloys, [14][15][16][17] aluminum alloys, 14,18) austenitic stainless steel SUS304 19) and pure titanium. 20) Figure 1(c) is the specimen for the combined tension-compression test of sheet metals, which was originally proposed by Kuwabara et al 21) The x and y-axes are in the rolling (RD) and transverse directions (TD) of the materials, respectively.…”

Section: Test Specimensmentioning

confidence: 99%

Elastic–Plastic and Inelastic Characteristics of High Strength Steel Sheets under Biaxial Loading and Unloading

et al. 2010

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p ϭ0.02 are measured from the biaxial loading, unloading and reloading experiments. The moduli of elasticity at reloading were lower by 9 to 17 % than those at initial loading. The amount of strain recovery along the rolling direction (RD) is more than that along the transverse direction (TD) for uniaxial unloading, as well as for biaxial unloading. An exponential decay model is proposed that provides good reproduction of the unloading stress-strain relations, (s/s u )-De/(s u /E 2 ), of both materials under different stress ratios.KEY WORDS: biaxial tension; contours of plastic work; anisotropic yield function; unloading; inelastic strain recovery; cruciform specimen; instantaneous tangent modulus. 613© 2010 ISIJ relations of both materials for different stress ratios is proposed. Experimental Method Test MaterialsTwo types of high strength steel alloy test materials were used in this study: 0.7 mm thick BH340 and 1 mm thick DP590. BH and DP denote bake-hardenable and dualphase, respectively. The numbers indicate the tensile strength of the materials. The work hardening characteristics and the r-values of the test materials are listed in Table 1. Test SpecimensFigures 1(a), 1(b) and 1(c) show the geometry of the specimens used in this study. Figure 1(a) is the specimen for the uniaxial tensile test . Figure 1(b) is the specimen for the biaxial tensile test of sheet metals, which was originally proposed by Kuwabara et al.,13) and is the same as those used for the biaxial tensile tests of steel alloys, [14][15][16][17] aluminum alloys, 14,18) austenitic stainless steel SUS304 19) and pure titanium. 20) Figure 1(c) is the specimen for the combined tension-compression test of sheet metals, which was originally proposed by Kuwabara et al. 21) The x and y-axes are in the rolling (RD) and transverse directions (TD) of the materials, respectively. Seven slits have been fabricated in the arms of the specimens at intervals of 7.5 mm in order to exclude geometric constraint on the 60ϫ60 mm square gauge section.The normal strain components, e x and e y , were measured for the specimens shown in Figs. 1(a) and 1(b) using uniaxial strain gauges (Tokyo Sokki Kenkyujo, YFLA-2). A biaxial strain gauge (Tokyo Sokki Kenkyujo, FCA-11-1L) was used at the center of the specimen shown in Fig. 1(c). Figure 2 shows the biaxial testing apparatus used in this study. It was originally designed and fabricated by Kuwabara et al. 13) The hydraulic pressure of each pair of hydraulic cylinders is servo-controlled independently, so that the stress-paths or strain-paths applied to a specimen can be arbitrarily controlled using a closed-loop circuit. The displacements of the rams of the opposing hydraulic cylinders are equalized using the pantograph-type link mechanism proposed by Shiratori and Ikegami,22) so that the centre of the specimen is always maintained at the centre of the testing apparatus during the tests. A load cell is included in each loading direction. Biaxial strain components in the RD and TD of the specimen are measured con...

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Measurement and analysis of differential work hardening in cold-rolled steel sheet under biaxial tension

Cited by 348 publications

References 18 publications

Temperature-dependent yield criterion for high strength steel sheets under warm-forming conditions

Temperature-dependent yield criterion for high strength steel sheets under warm-forming conditions

On stress measurement errors in biaxial tensile testing and the impact on yield surface identification

Elastic–Plastic and Inelastic Characteristics of High Strength Steel Sheets under Biaxial Loading and Unloading

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