Numerical solution of the three point bending of glass in application to the inverse analysis of this test

Monika Pernach¹ , Marcin Środa², Piotr Kustra¹

¹Faculty of Metals Engineering and Industrial Computer Science, AGH University of Science and Technology, Kraków, Poland.
²Faculty of Material Science and Ceramics, AGH University of Science and Technology, Kraków, Poland.

DOI:

https://doi.org/10.7494/cmms.2011.1.0318

Abstract:

Numerical model of glass deformation is presented in this paper. The model is based on the solution of the Maxwell approach and, beyond the viscosity flow of the glass, it also describes the stress relaxation behavior at elevated temperatures. This model is applied to the three point bending test. 2D and 3D solutions are performed using Abaqus finite element software. The general objective of the paper is application of the developed model to identification of the material parameters. Three point bending experiments were performed at various temperatures and inverse problem was formulated. The relaxation functions, shear modulus and bulk modulus were identified by Prony series. The properties of viscoelastic material determined at one particular temperature is transposed to another temperature using Williams-Landell-Ferry equation. Comparison of the 2D and 3D simulations is the particular objective of the work. Inverse calculations involve increase of the computing costs, which are particularly high in the case of the 3D solution of the direct problem. Therefore, the error connected with application of the 2D model is evaluated in the paper and recommendations regarding accuracy of the inverse analysis based on the 2D direct problem model are given.

Cite as:

Pernach, M., Środa, M., & Kustra, P. (2011). Numerical solution of the three point bending of glass in application to the inverse analysis of this test. Computer Methods in Materials Science, 11(1), 95 – 100. https://doi.org/10.7494/cmms.2011.1.0318

Article (PDF):

Keywords:

Viscosity, Williams-Landell-Ferry equation, Glass, Thermal bending, Flexure

References: