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Abstract

To achieve the creep forming of glass sheet from designer specifications, the manufacturer has to know the required temperature distribution in the glass sheet accurately: a small variation of the temperature produces great change in the viscosity, and therefore, in the final shape of the sheet. In order to find this distribution, the authors propose an inverse identification procedure based on an optimization method and finite element analyses. The inverse problem is solved using a modified Levenberg—Marquardt method to match the measured displacements to the finite element solutions which depend on the unknown forming parameters. The manufacture of recent rear automotive screens illustrates this efficient numerical procedure.

Keywords

inverse method finite element model glass temperature distribution creep

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References

Moreau

Lochegnies

Oudin

Une nouvelle approche pour la fabrication de volume de verre. 12ième Congrés Francais de Mécanique, 4–8 Sept. 1995, Strasbourg.

Lochegnies

Moreau

Oudin

Finite element strategy for glass sheet manufacture by creep forming. Communications in numerical methods in engineering, 1996, 12, 6, 331–341.

Moreau

Lochegnies

Oudin

Integration of thermal aspects in the finite element analysis of the laminated process. Glass Verarbeitung, 1995, 2, 6, 53–60.

Farag

I. H.

Beliveau

M. J.

Curran

R. L.

Heat transfer during glass forming. Chem. Eng. Comm., 1987, 52, 21–32.

Simons

J. H.

Simons

C. J.

Nonlinear viscous flow in glass forming, Ceram. Bull., 1989, 8, 11.

Simons

J. H.

Ochoa

Simons

K. D.

Mills

J. J.

Non-Newtonian viscous flow in soda-lime-silica glass at forming and annealing temperature. J. Non-Cryst. Sol., 1988, 5, 313–322.

Lochegnies

Francois

Oudin

New computer aided design, finite element modelling and three dimensional measuring of rear screen creep forming. Proc. Instn Mech. Engrs, Part E, Journal of Process Mechanical Engineering, 1995, 209 (E2), 137–149.

Lochegnies

Vicart

Oudin

Finite element elastoviscoplastic models for optimisation of horizontal and vertical press bending of sheets of glass. Glass Technology, 1995, 36, 5, 166–170.

Lochegnies

Moreau

Oudin

A computer aided design-finite element—3D measuring strategy for creep forming and/or pressing of glass skew surfaces. Numiform'95, The Fifth International Conference on

Numerical methods in industrial forming processes, 1995, (Ithaca, New York).

10.

Rodie

Gresovnik

Owen

D. R. J.

Application of error minimization concept to estimation of hardening parameters in the tension test. Computational plasticity fundamentals and applications, 3–6 April 1995, 779–786, Barcelona.

11.

Gavrus

Massoni

Chenot

J. L.

Computer aided rheology for constitutive parameter identification. Computational plasticity fundamentals and applications, 3–6 April 1995, 755–766, Barcelona.

12.

Schnur

D. S.

Zabaras

An inverse method for determining elastic material properties and a material interface. Int. J. Numer. Meth. in Engng, 1992, 33, 2039–2057.

13.

Gelin

J. C.

Ghouati

An inverse method for determining viscoplastic properties of aluminium alloys. J. Mat. Processing Tech., 1994, 45, 435–440.

14.

Marquardt

D. W.

An algorithm for least squares estimation of non linear parameters. J. Soc. Ind. Appl. Math., 1963, 11, 2, 431–440.

15.

Bard

Nonlinear Parameter Estimation, 1974 (Academic Press, New York).

16.

Fulcher

G. S.

Analysis of recent measurements of the viscosity of glasses. J. Am. Ceram. Soc., 1925, 8, 6.

17.

Ravi

Jennings

A. A.

Penetration model parameter estimation from dynamic permeability measurements. Soil Sci. Soc. Am. J., 1990, 54, 13–19.

18.

Caroll

C. W.

The created response surface technique for optimizing nonlinear restrained systems. Operations Res., 1961, 9, 169–184.

An inverse method for prediction of the required temperature distribution in the creep forming process

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