The bending moment and springback in pure bending of anisotropic sheets

Alexandrov, Sergei; Hwang, Yeong‐Maw

doi:10.1016/j.ijsolstr.2009.08.023

Cited by 23 publications

(12 citation statements)

References 17 publications

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“…anelastic recovery) would result in inaccurate estimation of springback, as this has not often been considered in existing studies on springback reported in the literature [1,8,9,11] for different sample orientations. These results are in agreement with a number of studies evaluated the effects of anisotropic mechanical properties on springback [7,[28][29][30]. Therefore, it is imperative to consider materials anisotropic behaviour, to estimate springback accurately.…”

Section: Springback Characterisationsupporting

confidence: 89%

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Characterisation and modelling of in-plane springback in a commercially pure titanium (CP-Ti)

Khayatzadeh

Thomas

Millet³

et al. 2018

J Mater Sci

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Effective prediction of springback during sheet metal forming is critically important for automotive and aerospace industries, especially when forming metals with high strength-to-weight ratio such as titanium. This requires materials mechanical data during plastic deformation and their dependencies on parameters like strain, strain rate and sample orientation. In this study, springback is quantified experimentally as elastic strain recovery, degradation in Young's modulus and inelastic strain recovery on unloading in a commercially pure titanium type 50A (CP-Ti-50A). The results show strain rate-dependent anisotropic mechanical behaviours and a degradation in Young's modulus with increased level of plastic deformation. The level of degradation in Young's modules increases gradually from 13% for samples parallel to the rolling direction (RD) to 20% for those perpendicular to the RD. A measurable nonlinear strain recovery was also observed on unloading that is orientation dependent. The level of springback is characterised as the sum of elastic recovery and the contributions from both the degradation in Young's modulus and anelastic strain recovery. It is shown that the Chord modulus can estimate springback with a reasonable accuracy taking into consideration the elastic strain recovery, degradation in Young's modulus and anelastic strain recovery.

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Section: Springback Characterisationsupporting

confidence: 89%

“…Few studies have attempted to take the anisotropic mechanical properties into an account when estimating springback [7,[28][29][30]. It was concluded that the springback magnitude was dependent on the orientation of the investigated sample with respect to the rolling direction of the original sheet.…”

Section: Introductionmentioning

confidence: 99%

Characterisation and modelling of in-plane springback in a commercially pure titanium (CP-Ti)

Khayatzadeh

Thomas

Millet³

et al. 2018

J Mater Sci

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“…This approach has been extended to a model of pressure-dependent plasticity in Lyamina [14] and a class of anisotropic materials in Alexandrov and Hwang [15]. Alexandrov and Hwang [15,16] have also extended the approach proposed in [13] to include the unloading stage and prediction of residual stresses. A somehow similar method for the stage of loading has been earlier proposed in [17].…”

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confidence: 99%

A general analytic solution for plane strain bending under tension for strain-hardening material at large strains

Alexandrov

Manabe

2011

Arch Appl Mech

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A new analytic solution for plane strain bending under tension of a sheet is proposed for elastic-plastic, isotropic, incompressible, strain-hardening material at large strains. Numerical treatment is only necessary to calculate ordinary integrals and solve transcendental equations. No restriction is imposed on the hardening law. All governing equations and boundary conditions are exactly satisfied. The only exception is that the actual stress distribution over the ends of the sheet is replaced with a concentrated force and a concentrated bending moment. The through-thickness distribution of residual stresses and a measure of springback are also found. The range of validity of the solution is determined. An illustrative example is provided for Swift's hardening law.

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“…The theory of the elastic/plastic plane strain bending of an incompressible anisotropic sheet obeying the quadratic Hill yield criterion [12] has been presented in the article [13]. Ultimately, the main results of this work are represented in this section.…”

Section: Theory Of Bending At Large Strainmentioning

confidence: 99%

Effect of Anisotropic Yield Criterion on the Springback in Plane Strain Pure Bending

Grechnikov¹,

Erisov

Alexandrov

2016

Collection of Selected Papers of the II International Conference on Information Technology and Nanotechnology

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Abstract. Plastic anisotropy is one of the multiple material representations significantly affecting the springback simulations. The present paper studies the influence of the plastic anisotropy over the springback in plane strain pure bending by means of the exact semi-analytical solution. The yield criterion and the constitutive equations for the orthotropic material with consideration of the crystal lattice constants and parameters of the crystallographic texture are used taking into account the anisotropy.Keywords: anisotropy, crystallographic orientation, yield criterion, springback, bending, plane strain, elastic/plastic solution.Citation: Grechnikov FV, Erisov YaA, Alexandrov SE. Effect of anisotropic yield criterion on the Springback in plane strain pure bending.

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The bending moment and springback in pure bending of anisotropic sheets

Cited by 23 publications

References 17 publications

Characterisation and modelling of in-plane springback in a commercially pure titanium (CP-Ti)

Characterisation and modelling of in-plane springback in a commercially pure titanium (CP-Ti)

A general analytic solution for plane strain bending under tension for strain-hardening material at large strains

Effect of Anisotropic Yield Criterion on the Springback in Plane Strain Pure Bending

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