Elastic–plastic behavior of steel sheets under in-plane cyclic tension–compression at large strain

Yoshida, Fusahito; Uemori, Takeshi; Fujiwara, Kenji

doi:10.1016/s0749-6419(01)00049-3

Cited by 601 publications

(291 citation statements)

References 18 publications

Supporting

Mentioning

283

Contrasting

Unclassified

Order By: Relevance

“…To characterize the behaviour of deep drawing quality metals, the most widely experimental tests used are tensile, shear and equibiaxial tensile tests. In case of constitutive laws involving kinematic hardening, reverse strain paths have to be taken into account, such as tension-compression tests [30], bending-unbending tests [31,32] or planar Bauschinger shear tests [33,34]. The mechanical behaviour of a material is then modelled, for use in numerical simulations of the forming process, by means of the parameters identified from the available experimental data.…”

Section: Parameter Identificationmentioning

confidence: 99%

Material parameters identification: Gradient-based, genetic and hybrid optimization algorithms

Chaparro¹,

Thuillier²,

Menezes³

et al. 2008

Computational Materials Science

193

102

View full text Add to dashboard Cite

a b s t r a c tThis paper presents two procedures for the identification of material parameters, a genetic algorithm and a gradient-based algorithm. These algorithms enable both the yield criterion and the work hardening parameters to be identified. A hybrid algorithm is also used, which is a combination of the former two, in such a way that the result of the genetic algorithm is considered as the initial values for the gradient-based algorithm. The objective of this approach is to improve the performance of the gradient-based algorithm, which is strongly dependent on the initial set of results. The constitutive model used to compare the three different optimization schemes uses the Barlat'91 yield criterion, an isotropic Voce type law and a kinematic Lemaitre and Chaboche law, which is suitable for the case of aluminium alloys. In order to analyse the effectiveness of this optimization procedure, numerical and experimental results for an EN AW-5754 aluminium alloy are compared.

show abstract

Section: Parameter Identificationmentioning

confidence: 99%

Material parameters identification: Gradient-based, genetic and hybrid optimization algorithms

Chaparro¹,

Thuillier²,

Menezes³

et al. 2008

Computational Materials Science

193

102

View full text Add to dashboard Cite

show abstract

“…Some authors introduced original geometries with multiple specimens loaded at the same time [8,13,27]. This approach creates some technological problems with the specimen machining.…”

Section: Remarks On Experimental Set-ups For Dynamic Tension Tests Smentioning

confidence: 99%

Analysis of inertia and scale effects on dynamic neck formation during tension of sheet steel

et al. 2005

View full text Add to dashboard Cite

It is well known that a specimen for impact testing must be optimized in terms of its dimensions. The main reason is to reduce strain gradients due to the effects of elastic plastic wave propagation. On the other hand, when a split Hopkinson bar in tension is applied, the net displacement of the specimen ends is very limited, usually from 2.0 to 3.0 mm. Thus, to reach a maximum strain of 0.5 the specimen length must be reduced in dimensions from 4.0 to 6.0 mm. Consequently, small diameters or lateral dimensions and lengths must be applied to assure one dimensional deformation. Such small lengths substantially perturb the determination of real material behavior. So the main motivation of this study was to perform a systematic analysis, numerical and analytical, to find differences in the behavior of short and long specimens loaded in impact tension. The finite element code ABAQUS/Explicit has been used to simulate several spec imen lengths from 10 to 40 mm submitted to impact velocities ranging from 10 to 100 m/s.Keywords: Constitutive relation; Dynamic tension; Normalization; Plastic instability; Numerical simulations Thermoviscoplastic modelingTo study the dynamic processes of plastic deformation in sheet metals, a well defined constitutive relation has earlier been proposed. Several processes of fast deformation have been previously studied by applying that relation: perforation [1], double shear by direct impact [2], the Taylor test and fast tension test [3]. With the constitutive relation, Eq. (1), the effect of temperature and strain rate on the flow stress can be studied and analyzed. It is clear that the adiabatic increase of temperature has a substantial effect on the flow stress and it induces a decrease in the ultimate tensile stress. In order to describe precisely the behavior of materials at high strain rates and temperatures, the equivalent stress r needs to be taken as the sum of two components r l and r * which are, respectively, the internal and the effective stress. The first component is directly related to the strain hardening of the material and the second defines the contribution due to the thermal activation (a combination of temperature and strain rate). The constitutive relation can be written in terms of equivalent scalar quantities:where e p is the equivalent plastic strain, T is the absolute temperature, E 0 is the YoungÕs modulus at T 0 K and E(T) is the evolution of the modulus as a function of temperature. Eq. (1) is based to some extent on physical considerations [2]. The explicit expressions for both stress components are given below:where Bð _ e p ; T Þ and nð _ e p ; T Þ are the modulus of plasticity and the strain hardening exponent, respectively. These quantities, defined by Eqs. (3) and (5), respectively, take into account the experimental observations that the strain hardening itself depends on temperature and strain rate.

show abstract

“…Since springback is a critical problem for high strength sheet materials such as modern steels, constitutive models that account for the Bauschinger and associated effects are important for industrial applications. This effect can be captured by non-linear kinematic hardening rules [15,16], in which the yield surface translates in stress space. Kinematic hardening has been used very efficiently during a half of a century to account for anisotropic hardening.…”

Section: Constitutive Description Examplementioning

confidence: 99%

Advanced constitutive modeling and application to industrial forming processes

Barlat

Kim

2016

MATEC Web Conf.

View full text Add to dashboard Cite

Abstract. Continuum constitutive descriptions of plasticity suitable for finite element simulations of sheet forming processes are succinctly discussed in this presentation. Although multi-scale approaches allow for a more explicit representation of the physical deformation mechanisms occurring at microscopic scales, they are usually not suitable for industrial applications because of the quick turnaround time needed for process design simulations. Therefore, advances in classical concepts such as plastic anisotropy and strain hardening are still very much in demand. Actual forming simulation examples conducted for the steel industry are presented for illustration purposes.

show abstract

Elastic–plastic behavior of steel sheets under in-plane cyclic tension–compression at large strain

Cited by 601 publications

References 18 publications

Material parameters identification: Gradient-based, genetic and hybrid optimization algorithms

Material parameters identification: Gradient-based, genetic and hybrid optimization algorithms

Analysis of inertia and scale effects on dynamic neck formation during tension of sheet steel

Advanced constitutive modeling and application to industrial forming processes

Contact Info

Product

Resources

About