A novel quadratic yield model to describe the feature of multi-yield-surface of rolled sheet metals

Hu, Wenzheng

doi:10.1016/j.ijplas.2007.01.016

Cited by 24 publications

(11 citation statements)

References 88 publications

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“…Because of the anisotropy of the materials, the materials properties will vary from the loading directions. In addition, (9) both stress anisotropy and deformation anisotropy play an important role in describing the anisotropic deformation behavior [1]. However, only one class of anisotropy from these can be incorporated in the Hill48 yield function when the parameters are determined using the traditional method.…”

Section: Solution Of Regional Parametersmentioning

confidence: 99%

“…Various anisotropic yield functions have been proposed to describe the anisotropic deformation behavior of materials. Among them, the quadratic anisotropic yield function (Hill48 yield function) proposed by Hill [5] is the most famous and is widely used because of its simple mathematical expression [6][7][8][9][10][11][12]. However, the Hill48 quadratic yield function can only explain four test results, and the results of the "abnormal" yield behavior observed in some processes involving rolled sheet metals cannot be reasonably described.…”

Section: Introductionmentioning

confidence: 99%

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Prediction of Eight Earings in Deep Drawing of 5754O Aluminum Alloy Sheet

Wang

Men

et al. 2019

Chin. J. Mech. Eng.

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Earings appear easily during deep drawing of cylindrical parts owing to the anisotropic properties of materials. However, current methods cannot fully utilize the mechanical properties of material, and the number of earings obtained differ with the simulation methods. In order to predict the eight-earing problem in the cylindrical deep drawing of 5754O aluminum alloy sheet, a new method of combining the yield stress and anisotropy index (r-value) to solve the parameters of the Hill48 yield function is proposed. The general formula for the yield stress and r-value in any direction is presented. Taking a 5754O aluminum alloy sheet as an example in this study, the deformation area in deep drawing is divided into several equal sectorial regions based on the anisotropy. The parameters of the Hill48 yield function are solved based on the yield stress and r-value simultaneously for the corresponding deformation area. Finite element simulations of deep drawing based on new and existing methods are carried out for comparison with experimental results. This study provides a convenient and reliable way to predict the formation of eight earings in the deep drawing process, which is expected to be useful in industrial applications. The results of this study lay the foundation for the optimization of the cylindrical deep drawing process, including the optimization of the blank shape to eliminate earing defects on the final product, which is of great importance in the actual production process.

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Section: Solution Of Regional Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Prediction of Eight Earings in Deep Drawing of 5754O Aluminum Alloy Sheet

Wang

Men

et al. 2019

Chin. J. Mech. Eng.

View full text Add to dashboard Cite

show abstract

“…Candidate classical constitutive models include the following: the Cambridge model, the Duncan-Chang hyperbolic nonlinear elastic model, the Lade-Duncan elastic-plastic model [20], Matsuoka and Nakai's spatial mobilised plane [21], the multiple yield surface model [22][23][24][25], and the nonlinear K-G model [26]. Because each constitutive model has its own scope of application and each material has its own complexity, corrections must be made to the models, depending on the conditions.…”

Section: Research Status In China and Elsewherementioning

confidence: 99%

An Analysis of the Mechanical Characteristics and Constitutive Relation of Cemented Mercury Slag

Zhang

et al. 2017

Advances in Materials Science and Engineering

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This study focuses on mercury slag in the Tongren area of Guizhou Province, China. Computed tomography (CT) is used with uniaxial and triaxial compression tests to examine the mechanical changes in cemented mercury slag and its formation. The CT results for the uniaxial compression test reveal the overall failure process of the mercury slag structure. Based on the coarse-grained soil triaxial test, a modified Duncan-Chang model is compared with the actual monitoring results and is found to be suitable for the analysis of the slag constitutive model.

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“…Moreover, if f hill and f addition are convex functions, then their sum is also convex function [10]. Since convexity of Hill's potential is generally known [11], it remains to prove that function f addition is convex.…”

Section: Appendixmentioning

confidence: 99%

A new anisotropic elasto-plastic model with degradation of elastic modulus for accurate springback simulations

et al. 2011

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Springback, a phenomenon that is governed by elastic strain recovery after the removal of forming loads, is of great concern in sheet metal forming. There is no doubt that in this regard, physically reliable numerical modelling of the forming process and predictions of springback obtained by respective computer simulations are crucial for controlling this problem. Unfortunately, by currently available approaches, springback still cannot be adequately predicted in general. In this paper, a new constitutive model is proposed which considers simultaneously sheet anisotropy, damage evolution and strain path-dependent stiffness degradation during sheet metal forming. For parameter identification of the built constitutive model, a particular experimental procedure is developed and an optimization procedure is employed to solve the inverse problem that arises. The proposed approach to constitutive modelling is validated in the end by a simulation of the springback in the formed HSS steel sheet. The simulation results, which prove to be in good agreement with the experimental ones, lead to the conclusion that accurate modelling only of anisotropic yielding is not enough to accurately predict the springback phenomenon; the constitutive model should also include the strain path-dependent change of the elastic moduli.

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A novel quadratic yield model to describe the feature of multi-yield-surface of rolled sheet metals

Cited by 24 publications

References 88 publications

Prediction of Eight Earings in Deep Drawing of 5754O Aluminum Alloy Sheet

Prediction of Eight Earings in Deep Drawing of 5754O Aluminum Alloy Sheet

An Analysis of the Mechanical Characteristics and Constitutive Relation of Cemented Mercury Slag

A new anisotropic elasto-plastic model with degradation of elastic modulus for accurate springback simulations

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