Analytic Study of the Stress State on a Non-Deformable Disc Subject to Diametral Compression

Abstract

One of the current issues in the mechanics of materials field is to perform an analytic determination of the stress state of non-deformable disc-type specimens subject to diametral compression. The present approach searches to contribute to the accurate design of new tests that allow a mechanic characterization of materials, tests required in sectors such as the concrete industry, rock mechanics and mechanics of other construction materials. One of the latest analytic proposals to solve the problem is found in the work of Markides, Kourkoulis and Chatzistergos, which shows an equation system with which to obtain the distribution of internal stress within a non-deformable disc. The present article illustrates the development of a calculation program built in Fortran programming language, with aims to study the change of stress states within the disc as the distribution of the compression varies in the perimeter of the sample, an area related to the internal angle ω0 measured from the center of the disc and reaches the limit of the contact area. Specifically, this experimental numerical stage seeks to establish the range of values of ω0 in which the stress of the disc presents primarily a compression state. The results show the distribution of radial σrr, tangential σθθ and shear τrθ stress for the geometrical case established in the present investigation. Moreover, it highlights that the state of the disc is controlled in particular by compression stress for a value of ω0 = 30º