Physical constitutive equations for plastic deformation of FCC metals subjected to high strain rate loading

Etemadi, Ehsan; Zamani, Jamal; Jafarzadeh, Mehdi

doi:10.1177/1464420715618423

Cited by 5 publications

(4 citation statements)

References 37 publications

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“…FCC metals and alloys due to their high ductility use widely in metal forming process [1,2] . In recent years, the applications of two-layer metallic clad sheets have been increased in manufacturing the products with particular specifications, i.e.…”

Section: Introductionmentioning

confidence: 99%

Experimental and FE analysis on spring-back of copper/aluminum layers sheet for a L-die bending process

Valinezhad

Etemadi

Hashemi

et al. 2019

Mater. Res. Express

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This paper is a conduct of experimental tests to investigate different effective parameters of a UNS C10100 copper/aluminum 1100 spring-back on a two-layer Ldie bending sheet through finite element simulations. The parameters are the radius and clearance of die, sheet length, thickness of each layer, different lay ups, and sheet annealing. The paper shows that the spring-back decreases with the reduction of the die clearance and radius, similar to the behavior of single-layer sheet and with the increase of the sheet length. The outcome displays a contradiction with 'no significant effect' in the single-layer sheets, previously published in other papers.Furthermore, the thicknesses of copper and aluminum are important roles to evaluate spring-back; however, there is no certain rule to decrease or increase the spring-back through changing the thickness of each layer. Moreover, this work shows the effects of stacking sequence of aluminum and copper layer on the spring-back, because of the different natural axis in each stacking sequence and also different ultimate strength of each layer. Finally, it is concluded that annealing heat treatment significantly reduces the spring-back, where the intermetallic bond hardness in the interface of Cu/Al layers and spring-back increases with the rise of annealing temperature. Experimental determination of forming limit diagram in Aluminum-Copper twolayer metallic sheets. Science and Technology of Composites, 2016. 2(4): p. 45-50. 4.Karajibani, E., R. Hashemi, and M. Sedighi, Determination of forming limit curve in two-layer metallic sheets using the finite element simulation.

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Section: Introductionmentioning

confidence: 99%

Experimental and FE analysis on spring-back of copper/aluminum layers sheet for a L-die bending process

Valinezhad

Etemadi

Hashemi

et al. 2019

Mater. Res. Express

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“…Constitutive models associate the flow stress with effective parameters such as strain, strain rate, and temperature. 3 Flow stress determines the material deformation behavior and influences process selection, forming force, dimensional accuracy, and geometry of microformed parts. 4 The constitutive models are classified into empirical constitutive equations which consist of mathematical functions with several experimentally tested constants and physical constitutive equations which are based on dynamics of dislocations.…”

Section: Introductionmentioning

confidence: 99%

A microscale constitutive model for thin stainless steel sheets considering size effect

Firouzjaei

Naeini

Kasaei

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part L:

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This research is focused on the modeling of the deformation behavior of thin austenitic stainless steel sheets to consider size effect in microscale. First, the material with two different thicknesses is heat treated to obtain different grain sizes, and then they are characterized by the uniaxial tensile tests. The experimental results show that flow stress decreases with the reduction of the sheet thickness and the increase of the grain size. The decline of the flow stress curve is associated with the decrease of the strength coefficient and increase of the hardening exponent as the plastic deformation is scaled down to the microscale. To better model the behavior of the material in the microscale, a new constitutive model is proposed based on the Swift equation to take into account the geometry and grain size effect. This model is also defined in the finite element model of the uniaxial tensile test. It is found that the flow stress curve predicted by the proposed constitutive model shifts down by the decrease of the number of grains across the thickness, which are consistent with the experimental results. In addition, the finite element model with the proposed constitutive model predicts accurately the deformation load in the uniaxial tensile tests. It can be concluded that the proposed constitutive model can provide a good description of the flow stress by considering the interactive effect of specimen and grain sizes and can be used in the modeling of material behavior in microforming processes.

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“…1,2 Also, their elastic-plastic and damage constants are available for numerical simulations. 3,4 For example, aluminum/copper layer sheets with high electrical and thermal conductivity, corrosion resistivity, and light weight can be utilized in wire and tube industries.…”

Section: Introductionmentioning

confidence: 99%

Novel U-bending designed setups for investigating the spring-back/spring-go of two-layer aluminum/copper sheets through experimental tests and finite element simulations

Etemadi

Naseri

Valinezhad

2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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This paper presents novel U-bending setups in order to investigate the effects of the curvatures created on the punch, die, or both on the spring-back/spring-go of the two-layer aluminum/copper sheets. Comparison of the new U-bending setups with the regular ones showed that the curvatures had important roles in reducing the spring-back/spring-go in the U-bending process. The results further indicated the good agreement between spring-back/spring-go and finite element simulations. Moreover, through finite element simulations, the effects of three effective parameters on reducing the spring-back/spring-go, including the curvature radius ( r) of the punch, the distance between curvature center and the fillet center ( d) in the punch, and the curvature radius at the end of the die ( R) were investigated. In achieving the desired state (90°), the results showed that the distance of curvature center from the fillet center ( d) was a more important parameter compared with the curvature radius at the end of the punch ( r) and the curvature radius at the end of the die ( R). This paper also focuses on the thicknesses of copper and aluminum as well as the stacking sequence of layers. Concerning the thicknesses of the implemented copper and aluminum change, the minimum angle of the spring-back/spring-go relative to the desired state was 75% Al/25% Cu thickness. Furthermore, the spring-back of aluminum/copper was lower than the copper/aluminum layer sheet. The effects of both thickness changing and stacking sequence of aluminum/copper layers on the spring-back/spring-go amounts of different sheets were due to the relocation of the neutral axis.

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Physical constitutive equations for plastic deformation of FCC metals subjected to high strain rate loading

Cited by 5 publications

References 37 publications

Experimental and FE analysis on spring-back of copper/aluminum layers sheet for a L-die bending process

Experimental and FE analysis on spring-back of copper/aluminum layers sheet for a L-die bending process

A microscale constitutive model for thin stainless steel sheets considering size effect

Novel U-bending designed setups for investigating the spring-back/spring-go of two-layer aluminum/copper sheets through experimental tests and finite element simulations

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