A Novel Analytical Solution for the Brazilian Test with Loading Arcs

• Published in: Mathematical problems in engineering Vol. 2020; no. 2020; pp. 1 - 19
• Main Authors: García-Fernández, C. C., Santos-Cuadros, S., Ramírez-Berasategui, M., Gutiérrez-Moizant, R.
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Publishing Corporation 2020; Hindawi; John Wiley & Sons, Inc
• Subjects: Computer simulation; Concrete; Contact angle; Contact pressure; Crack initiation; Design of experiments; Engineering; Exact solutions; Finite element analysis; Finite element method; Friction; Mathematical models; Pressure distribution; Simulation; Stress concentration; Tensile strength
• ISSN: 1024-123X; 1563-5147
• DOI: 10.1155/2020/2935812

This research study presents a new theoretical model to calculate the indirect tensile strength for the Brazilian disk with loading arcs, based on numerical simulations, two-dimensional elasticity theory, and Griffith failure criterion. The new expression incorporates a no uniform contact pressure distribution determined by the results of the simulations with the finite element method. A computational experiment design has been developed to test the accuracy of the predictions made with the proposed model. This study demonstrates that the stresses predicted with the new model are closer to those determined by the finite element models than other theoretical solutions available in the literature. Additionally, a comparative analysis with experimental results obtained by other authors also indicates that the new model provides a more accurate magnitude of the indirect tensile strength.