Computer-aided identification of the yield curve of a sheet metal after onset of necking

Koc, Pino; Štok, Boris

doi:10.1016/j.commatsci.2004.02.004

Cited by 86 publications

(43 citation statements)

References 5 publications

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“…However, after the onset of localized necking, the stress state changes from the uniaxial one to biaxial one 1,2) and further complicated one in the tensile test. 3,4) Under a load-controlled mode of deformation, the metal seems to proceed into fracture directly at maximum load (P max ) as shown in Fig. 1(a).…”

Section: Introductionmentioning

confidence: 99%

“…In other words, the boundary condition definitely affects the shape of the nominal stress-strain curve. Recently, finite element (FE) analysis has been successful in prediction of the deformation behavior in tension test, [1][2][3][4] compressive test, 6,7) and torsion test. 8) Based on the FE idea, it can be easily admitted that the shape of the nominal stress-strain curve can be perfectly predicted if the true stress-strain relation is given.…”

Section: Introductionmentioning

confidence: 99%

“…1(b). [1][2][3][4] In the first stage, the load increases with an increase in displacement from yielding to P max . After P max , the load decreases gradually with an increase in displacement.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Prediction on Nominal Stress-Strain Curve of Isotropic Polycrystal Ti-15-3-3-3 Sheet by FE Analysis

Yin

Nagai

2010

Mater. Trans.

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In order to predict the nominal stress-strain curve of an isotropic polycrystal Ti-15V-3Al-3Cr-3Sn (hereafter, Ti-15-3(ST)) sheet in tension test, three-dimensional finite element (FE) analysis is elucidated considering three boundary conditions. According to the constraint at both ends of specimen, three boundary conditions are a simulated case based on the empirical data, a full case and a free case. In the simulated case, the nominal stress-strain curve can be well predicted until the fracture strain. Maximum load point does not mean the termination of uniform deformation in the present study. The onset of localized necking is intensively discussed and the origin of localized necking is concluded to be not due to the plastic instability but due to the deformation constraint at both ends of specimen.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Prediction on Nominal Stress-Strain Curve of Isotropic Polycrystal Ti-15-3-3-3 Sheet by FE Analysis

Yin

Nagai

2010

Mater. Trans.

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show abstract

“…Finite element (FE) analysis has been successful in simulating and assessing the plastic deformation behavior for metal forming and also widely accepted as a powerful tool to predict the deformation behavior in tensile test. [7][8][9] However, quite interestingly, few have elucidated this idea under various boundary conditions. 6) This happens to be the principal purpose of the present paper.…”

Section: Introductionmentioning

confidence: 99%

“…However, after the onset of localized necking, the stress state changes from the uniaxial one to biaxial one 7) and further complicated one in tensile test. 8,9) The shape of a load-displacement curve or a nominal stress-strain curve also changes according to deformation method such as tension, compression and bend even if the same ductile metal with an identical true stress-strain relation is considered. 10) In other words, boundary condition definitely affects the shape of the nominal stress-strain curve.…”

Section: Introductionmentioning

confidence: 99%

Prediction on Nominal Stress-Strain Curve of Anisotropic Polycrystal with Texture by FE Analysis

Nagai

Yin

2010

Mater. Trans.

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In order to predict nominal stress-strain (S-S) curve in tensile test for a commercial purity titanium (hereafter, CP-Ti) with texture, three boundary conditions are elucidated as well as plastic anisotropy in three-dimensional finite element (FE) analysis. Three boundary conditions are a free case, a full constraint case at both ends of specimen, and a simulated case based on empirical data. In the simulated case, the shape change and the nominal S-S curve can be well predicted with deviation smaller than 10%. The origin of localized necking is concluded not due to the plastic instability but due to the constraint at both ends of specimen. Deviation point of the nominal S-S curve at the simulated case from that of the free case has been suggested as the onset of localized necking of CP-Ti, which is determined as 0.25 in transverse direction and 0.50 in rolling direction.

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Experimental Methodology for Obtaining the Flow Curve of Sheet Materials in a Wide Range of Strains

Zhuang

Zhao

et al. 2012

steel research int.

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An experimental approach for determining the stress-strain curve over a large range of strains through tensile test is introduced. The novel aspect of the proposed approach is to apply different degrees of cold working on the sheet metal specimens before tensile test. By adding the pre-strain derived from cold working to the strain from tensile test, the corresponding stress-strain curves can be shifted to large strains. Since the variation trend of these curves is in high coincidence with the results from compression test, it is convinced that the stress-strain curve of tensile test over a large range of strains can be experimentally extrapolated based on such an approach, especially aiming at mediumthick sheet metal. Based on the tensile test results, five different extrapolation models were evaluated with respect to different sampling dataset. It was revealed that the true stress-plastic strain curve over a given strain range could be approximated well by the extrapolation models of Ludwik, Ghosh, and Hocket-Sherby based on sampling data points of standard tensile test combined with a prescribed data point from tensile test after cold working.

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Computer-aided identification of the yield curve of a sheet metal after onset of necking

Cited by 86 publications

References 5 publications

Prediction on Nominal Stress-Strain Curve of Isotropic Polycrystal Ti-15-3-3-3 Sheet by FE Analysis

Prediction on Nominal Stress-Strain Curve of Isotropic Polycrystal Ti-15-3-3-3 Sheet by FE Analysis

Prediction on Nominal Stress-Strain Curve of Anisotropic Polycrystal with Texture by FE Analysis

Experimental Methodology for Obtaining the Flow Curve of Sheet Materials in a Wide Range of Strains

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