Two-parameter models of brittle materials behavior under uniaxial compression

Abstract

Numerical and analytical models are widely presented in the literature. In this report, analytical models of only one class are considered, the first of which is the Furamura model. Models of this class do not require a large amount of input data; in addition, their mathematical description does not contain complex equations. The researchers initially used these models to analyze the behavior of concrete at high temperatures. The current scope of these models covers applied analysis of the behavior of rocks, frozen soils, and other materials, including their behavior on the downward branch under controlled deformation. The purpose of this report is to discuss not only the positive characteristics of the models of the class under consideration, but also to draw the readers' attention to the limitations in the use of the models, which will contribute to their improvement and effective application for sustainable development.