Three-point bending tests. Part II: An improved formula for the modulus of rupture and numerical simulations
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Abstract
The goal of this paper is to analyze analytical and numerically, from several perspectives, the modulus of rupture (MOR)
for brittle materials, studying the bending test of three points which is normally used in laboratory to calculate it. In
particular, we will give four different approaches to the MOR: through the classical theory of beams; by means of the
one and three-dimensional numerical simulations; and by using an improved expression to the MOR obtained through its
asymptotic analysis. Finally, we will present these methodologies for cylindrical and rectangular beams made of porcelain.
Description
This is the peer reviewed version of the following article: Guitián, F., Quintela, P., Sánchez, M.T., Valcárcel, V. (2011). improved formula for the modulus of rupture and numerical simulations. Mathematical Methods in the Applied Sciences, 34(10), pp. 1254-1273, which has been published in final form at https://doi.org/10.1002/mma.1438. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.
Bibliographic citation
Guitián, F., Quintela, P., Sánchez, M.T., Valcárcel, V. (2011). improved formula for the modulus of rupture and numerical simulations. Mathematical Methods in the Applied Sciences, 34(10), pp. 1254-1273
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This research was supported by FEUGA (projects 2001/CE230, 2002/CG428), CICYT-FEDER (projects DPI2001-2908, DPI2004-01993, MTM2008, 05682), and Xunta de Galicia (project PGIDIT05PXIC20701PN).