A simple isotropic-distortional hardening model and its application in elastic–plastic analysis of localized necking in orthotropic sheet metals

Aretz, Holger

doi:10.1016/j.ijplas.2007.10.002

Cited by 95 publications

(40 citation statements)

References 71 publications

(99 reference statements)

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“…Xu and Weinmann (2000) calculated the FLCs based on the M-K approach with Hill's 1993 yield criterion (Hill 1993) by changing the anisotropic parameters as functions of the equivalent plastic strain. Aretz (2008) calculated the FLC and FLSC of an aluminum alloy using the M-K approach with the Yld2003 yield function (Aretz 2005) with an exponent of 8; the differential hardening behavior was approximated by changing the anisotropic parameters as functions of the equivalent plastic strain. He found that the differential hardening behavior significantly affects the calculated results for the FLC and FLSC.…”

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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“…Some previous works employed the discrete method to describe the evaluation in anisotropic hardening for various plastic work levels. Plunkett et al [3] and Aretz [4] introduced discrete sets of anisotropic coefficients to account for anisotropic hardening as a function of equivalent plastic strain by describing the evolution of yield surface at discrete levels of plastic deformation with an interpolation method. Wang et al [5] proposed an equivalent plastic strain-dependent Yld2000-2d model by replacing the model parameters with 6th order function of the equivalent plastic strain.…”

Section: Introductionmentioning

confidence: 99%

A numerical scheme of convex yield function with continuous anisotropic hardening based on non-associated flow rule in FE analysis of sheet metal

Liu¹,

Chen²

2018

J. Phys.: Conf. Ser.

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“…Therefore, the mechanism of ductile fracture is a cusp catastrophe, and the ultimate ductility of the material depends on the damage evolution that occurs at the post-bifurcation stage [11]. Accordingly, the classical Marciniak-Kucaynski model [12] having initial geometrical imperfections that trigger instability [13,14] is used to predict the localized necking , and the damage-and void-growth-induced bifurcation condition in the popular Gurson-Tvergaard-Needleman (GTN) model can be analytically formulated as material instability occurring on a constitutive level [15]. Uthaisangsuk et al [16][17][18], Vajragupta et al [19], and Ramazani et al [20] used the microstructure-based RVEs to evaluate microstructure deformation and failure initiation from the mesoscale, addressing martensite cracking using an extended finite element method (XFEM).…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical investigation of failure mode in geometrically imperfect DP590 steel

Zhuang

Cheng

Zhao

2015

Sci. China Technol. Sci.

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Various microstructure-level finite element models were generated according to the real microstructure of DP590 steel to capture the mechanical behavior and fracture mode. The failure mode of the dual-phase (DP) steels, mainly resulting from microstructure-level inhomogeneity and initial geometrical imperfection, was predicted using the plastic strain localization theory. In addition, dog-bone-type tensile test specimens with different edge qualities were prepared and the deformation processes were recorded using a digital image correlation system. When the steel exhibited no initial geometrical imperfection, void initiation was triggered by decohesion between martensite and ferrite which was predicted based on the severe strain concentration, or tensile stress in areas where stress triaxiality and strain values were high. Final failure was caused by shear localization in the vicinity. Moreover, the initial geometrical imperfections severely affected the overall ductility and failure mode of the DP590 steel. When initial geometrical imperfections were deeply ingrained, an incipient crack began at the site of initial geometrical imperfection, and then caused progressive damage throughout the microstructure, from the area of shear localization to the final fracture. Overall, the depth of the geometrical imperfection was the critical factor in determining whether internal decohesion or a local crack plays a dominant role.representative volume element, dual-phase (DP) steel, geometrical imperfection, failure mode Citation:Zhuang X C, Xu C, Zhao Z. Experimental and numerical investigation of failure mode in geometrically imperfect DP590 steel.

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A simple isotropic-distortional hardening model and its application in elastic–plastic analysis of localized necking in orthotropic sheet metals

Cited by 95 publications

References 71 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

A numerical scheme of convex yield function with continuous anisotropic hardening based on non-associated flow rule in FE analysis of sheet metal

Experimental and numerical investigation of failure mode in geometrically imperfect DP590 steel

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