Finite element simulation of the slumping process of a glass plate using 3D generalized viscoelastic Maxwell model

Boubaker, Mohamed Bader; Corre, Benjamin; Meshaka, Yves; Jeandel, G.

doi:10.1016/j.jnoncrysol.2014.08.018

Cited by 15 publications

(11 citation statements)

References 20 publications

(36 reference statements)

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“…In agreement with the earlier results [22], the precision of the characterization of the viscoelastic behaviour varies with the number of GMM units, so 2, 4, 6, and 8 arms of GMM were used to fit the relaxation modulus at different…”

Section: Determination Of Model Parameterssupporting

confidence: 82%

Study on Relaxation Damage Properties of High Viscosity Asphalt Sand under Uniaxial Compression

Sun

Wang

et al. 2018

Advances in Civil Engineering

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Laboratory investigations of relaxation damage properties of high viscosity asphalt sand (HVAS) by uniaxial compression tests and modified generalized Maxwell model (GMM) to simulate viscoelastic characteristics coupling damage were carried out. A series of uniaxial compression relaxation tests were performed on HVAS specimens at different temperatures, loading rates, and constant levels of input strain. The results of the tests show that the peak point of relaxation modulus is highly influenced by the loading rate in the first half of an L-shaped curve, while the relaxation modulus is almost constant in the second half of the curve. It is suggested that for the HVAS relaxation tests, the temperature should be no less than −15°C. The GMM is used to determine the viscoelastic responses, the Weibull distribution function is used to characterize the damage of the HVAS and its evolution, and the modified GMM is a coupling of the two models. In this paper, the modified GMM is implemented through a secondary development with the USDFLD subroutine to analyze the relaxation damage process and improve the linear viscoelastic model in ABAQUS. Results show that the numerical method of coupling damage provides a better approximation of the test curve over almost the whole range. The results also show that the USDFLD subroutine can effectively predict the relaxation damage process of HVAS and can provide a theoretical support for crack control of asphalt pavements.

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Section: Determination Of Model Parameterssupporting

confidence: 82%

Study on Relaxation Damage Properties of High Viscosity Asphalt Sand under Uniaxial Compression

Sun

Wang

et al. 2018

Advances in Civil Engineering

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“…A later study by Zhou et al reports that neither Maxwell nor Kelvin model satisfactorily describes the experiment data in the temperature regime of glass molding, but Burgers model—a combination of both Maxwell and Kelvin model—does . The Burgers model, in fact, can be represented by a two‐term generalized Maxwell model with an identical mathematical description . The generalized Maxwell model, a combination of several Maxwell elements in parallel, has been widely utilized in many recent studies to characterize the viscoelastic property of glass above the transition temperature .…”

Section: Introductionmentioning

confidence: 99%

“…11 The Burgers model, in fact, can be represented by a twoterm generalized Maxwell model with an identical mathematical description. 12 The generalized Maxwell model, a combination of several Maxwell elements in parallel, has been widely utilized in many recent studies to characterize the viscoelastic property of glass above the transition temperature. [13][14][15] The sufficient number of Maxwell elements is determined by fitting the relaxation data, either gained by stress relaxation experiments or derived from creep experiments.…”

mentioning

confidence: 99%

Modeling of thermo‐viscoelastic material behavior of glass over a wide temperature range in glass compression molding

Grunwald

Bergs

2020

J Am Ceram Soc

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In glass compression molding, most current modeling approaches of temperature‐dependent viscoelastic behavior of glass materials are restricted to thermo‐rheologically simple assumption. This research conducts a detailed study and demonstrates that this assumption, however, is not adequate for glass molding simulations over a wide range of molding temperatures. In this paper, we introduce a new method that eliminates the prerequisite of relaxation functions and shift factors for modeling of the thermo‐viscoelastic material behavior. More specifically, the temperature effect is directly incorporated into each parameter of the mechanical model. The mechanical model parameters are derived from creep displacements using uniaxial compression experiments. Validations of the proposed method are conducted for three different glass categories, including borosilicate, aluminosilicate, and chalcogenide glasses. Excellent agreement between the creep experiments and simulation results is found in all glasses over long pressing time up to 900 seconds and a large temperature range that corresponds to the glass viscosity of log (η) = 9.5 – 6.8 Pas. The method eventually promises an enhancement of the glass molding simulation.

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“…The chemical tempering results in higher compression at surface thus larger strengthening, compression depth is smaller, better optical quality, but costlier than conventional thermal tempering. The analysis of the chemical tempering process for different application of glasses is discussed in (Arrazola and Özel, 2010;Bao-Wei et al, 2016a;Deng and Murakawa, 2006;Boubakera et al, 2014;Bao-Wei et al, 2016b;Varshneya and Kreski, 2012;Mazzoldi et al, 2013;Green, 2008;Varshneya, 2010a;Karlsson et al, 2010;Gy, 2008;Varshneya, 2010b;2016;Xiangchen et al, 1986;Araujo et al, 2003;Fu and Mauro, 2013;Sglavo et al, 2014;Sglavo, 2015;Varshneya and Spinelli, 2009;Saunders and Kubichan, 1969;Shelestak et al, 2005). The structure-property relationship depends on each network former and modifier, chemical composition along with the thermal history of glass (Kolitsch and Richter, 1980;Hevesy, 1928;Frischat, 1975;Cormier et al, 2000;Du and Stebbins, 2005;Wu and Stebbins, 2010;Zheng et al, 2012a).…”

Section: Introductionmentioning

confidence: 99%

Effect of Novel Thermo-Chemical Treatment on Bending Strength of Laminated Glass

Vedrtnam¹

2018

International Journal of Structural Glass and Advanced Material

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The science of thermal and chemical treatment of glass is well documented. The Laminated Glass (LG) is usually not treated as either treated glass is used during production or lower melting temperature of interlayer does not allow the treatment. The present work reports the novel methods of thermo-chemical treatment of LG having annealed soda lime glass plies. Five thermo-chemical treatments were performed on LG using different salts (Potassium Nitrate Carbohydrazide, Lithium Nitride), via clay coating (saturated with salts), using fused silica wafer coated with a thin graphene layer and utilizing the microwave heating. The bending strength is measured before and after thermo-chemical treatment using Q-set coupled bending tester (following the ASTM D790-03). The linear elastic model is utilized for obtaining normal stress and deformation at fracture load using ANSYS 14.5. The bending strength of thermo-chemical treated LG sample was found significantly higher than untreated LG in the most cases. The fracture pattern of the treated LG was also modified compared to the untreated LG as impurities and defects were reduced during treatment. The mechanics of increased bending strength and modified fracture is also discussed with reference to the effects of thermo-chemical treatment of LG, however, the need of a specialized numerical method that can effectively model the implications of treatment on LG and multiple fractures experienced by the LG during testing are suggested as future work.

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Finite element simulation of the slumping process of a glass plate using 3D generalized viscoelastic Maxwell model

Cited by 15 publications

References 20 publications

Study on Relaxation Damage Properties of High Viscosity Asphalt Sand under Uniaxial Compression

Study on Relaxation Damage Properties of High Viscosity Asphalt Sand under Uniaxial Compression

Modeling of thermo‐viscoelastic material behavior of glass over a wide temperature range in glass compression molding

Effect of Novel Thermo-Chemical Treatment on Bending Strength of Laminated Glass

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