Analysis of stresses at the center of transversely isotropic Brazilian disk

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985831%3A_____%2F23%3A00570541" target="_blank" >RIV/67985831:_____/23:00570541 - isvavai.cz</a>

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S1674775522001056" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1674775522001056</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jrmge.2022.04.008" target="_blank" >10.1016/j.jrmge.2022.04.008</a>

Result language

angličtina

Original language name

Analysis of stresses at the center of transversely isotropic Brazilian disk

Original language description

This article presents the stresses at the center of a Brazilian disk (BD) for transversely isotropic rocks. It is shown that the solution of stresses at the center of an anisotropic disk is a function of the disk radius and the magnitude of applied load, as well as the material orientation with respect to the load axis and two dimensionless ratios with specific physical meanings and limitations. These two dimensionless parameters are the ratios of Young’s modulus and apparent shear modulus, although the ratio of apparent shear modulus will be eliminated if the Saint-Venant assumption is considered. Considerable finite element simulations are carried out to find the stresses at the disk center concerning the material orientation and the two dimensionless parameters. Also, an approximate formula obtained from analytical results, previously proposed in the literature for solving the tensile and compressive stresses at the disk center, is re-written and simplified based on these new definitions. The results of the approximate formula fitted to the analytical results are compared to those obtained from numerical solutions, suggesting a good agreement between the numerical and analytical methods. An approximate equation for the shear stress at the disk center is also formulated based on the numerical results. Finally, the influence of the assumptions for simplification of the proposed formula for the tensile, compressive, and shear stresses at the disk center is discussed, and simple and practical equations are proposed as estimations for the stresses at the center of the BD specimen for low to moderate anisotropic rocks. For highly anisotropic rocks, the reference plots can be used for more accuracy.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20701 - Environmental and geological engineering, geotechnics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Rock Mechanics and Geotechnical Engineering

ISSN

1674-7755

e-ISSN

2589-0417

Volume of the periodical

15

Issue of the periodical within the volume

3

Country of publishing house

CN - CHINA

Number of pages

12

Pages from-to

618-629

UT code for WoS article

000950190500007

EID of the result in the Scopus database

2-s2.0-85132867903