THE METHOD OF DETERMINING DURABILITY FOR A PARTICULAR CASE OF THERMOFLURATION CONCEPT OF DESTRUCTION AND DEFORMATION

Within the framework of the thermal fluctuation concept of destruction and deformation of solids, there are cases where the temperatures of linear dependencies of the durability logarithm on stress converge. This occurs both at extremely high temperatures (the classical “direct beam” case) and at extremely low temperatures (a special “reverse beam” case). To predict durability within this framework, it is necessary to experimentally determine four thermal fluctuation constants. In this paper, using the axiomatic method of scientific knowledge, we derive equations for durability from the generalized Zhurkov equation for the specific case of convergence of linear dependencies at extremely low temperatures. These equations account for the scientific foundations of the thermal fluctuation concept and the methodology for determining fluctuation constants but do not require the full range of these constants. The proposed equations improve the accuracy of durability predictions by eliminating the need to transform experimental graphs of the logarithm of durability versus stress into a graph of the logarithm of durability versus the inverse temperature (scaled by a factor of 1000).