The combined effect of plastic orthotropy and tension-compression asymmetry on the development of necking instabilities in flat tensile specimens subjected to dynamic loading

N'souglo, Komi Espoir; Rodríguez-Martínez, J.A.; Vaz-Romero, A.; Cazacu, Oana

doi:10.1016/j.ijsolstr.2018.10.006

Cited by 17 publications

(4 citation statements)

References 40 publications

(65 reference statements)

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“…Examples of such materials abound in the literature. Here we mention a few material cases to underline the significance of the taken approach, for example soft biological tissue [68], wood [69], metals [70], in addition to the widely known behavior of ceramics, geomaterials, and cementitious materials such as concrete.…”

Section: Resultsmentioning

confidence: 99%

Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution

Timofeev¹,

Barchiesi

Misra

et al. 2020

Mathematics and Mechanics of Solids

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Mechanical behavior of materials with granular microstructures is confounded by unique features of their grain-scale mechano-morphology, such as the tension–compression asymmetry of grain interactions and irregular grain structure. Continuum models, necessary for the macro-scale description of these materials, must link to the grain-scale behavior to describe the consequences of this mechano-morphology. Here, we consider the damage behavior of these materials based upon purely mechanical concepts utilizing energy and variational approach. Granular micromechanics is accounted for through Piola’s ansatz and objective kinematic descriptors obtained for grain-pair relative displacement in granular materials undergoing finite deformations. Karush–Kuhn–Tucker (KKT)-type conditions that provide the evolution equations for grain-pair damage and Euler–Lagrange equations for evolution of grain-pair relative displacement are derived based upon a non-standard (hemivariational) variational approach. The model applicability is illustrated for particular form of grain-pair elastic energy and dissipation functionals through numerical examples. Results show interesting damage-induced anisotropy evolution including the emergence of a type of chiral behavior and formation of finite localization zones.

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Section: Resultsmentioning

confidence: 99%

Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution

Timofeev¹,

Barchiesi

Misra

et al. 2020

Mathematics and Mechanics of Solids

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“…Although there are many yield criteria that can be used to describe the yield behavior of metal materials, there is no unifying thread on how to effectively reproduce asymmetric yielding or the strength differential in the yield criteria. [13,32] To develop a yield criterion, it is necessary to clarify the strength differential by www.advancedsciencenews.com www.aem-journal.com hydrostatic pressure and lode angle. However, when the material yields under different stress states, not only the hydrostatic pressure is different, but also corresponding to different lode angle.…”

Section: Yield Criterionmentioning

confidence: 99%

“…[10][11][12] Constitutive models should provide correct description of the asymmetric yield behavior of tensile and compression with simplified yield function for user-friendly finite element implementation. [13,14] For a given strain magnitude, it is generally assumed that the tensile and compressive flow stresses of metallic materials are the same as each other. However, a phenomenon is often observed that some materials have different flow stresses between tension and compression, and it is defined as the strength differential effect or asymmetric yielding.…”

Section: Introductionmentioning

confidence: 99%

A Strain Rate‐Dependent Constitutive Model for Asymmetric Hardening Behavior of TB9 Titanium Alloy

Jin

Qiu

et al. 2022

Adv Eng Mater

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The TB9 titanium alloy is one of the most promising materials for engineering application due to high strength, high toughness, and corrosion resistance. Constitutive modeling is an important issue for investigating the materials properties and mechanical behaviors of TB9 titanium alloys using the numerical simulation method. This article presents a pressure‐dependent elastoplastic asymmetric constitutive model that has a high capability of describing the deformation behavior of TB9 titanium alloy. The strain rate sensitivity model of strength differential coefficient evolution is proposed for an accurate simulation of the asymmetric yielding effect. Furthermore, an idea of yield surface plotted in the deviatoric stress space is presented for the decoupling of coupling effect of hydrostatic pressure and lode angle. The validity of this constitutive model is confirmed by comparing the compression stress–strain responses calculated using the proposed model with the experimental observations on TB9 titanium alloy.

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“…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%

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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The combined effect of plastic orthotropy and tension-compression asymmetry on the development of necking instabilities in flat tensile specimens subjected to dynamic loading

Cited by 17 publications

References 40 publications

Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution

Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution

A Strain Rate‐Dependent Constitutive Model for Asymmetric Hardening Behavior of TB9 Titanium Alloy

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

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