APPLICATION OF THE LEAST SQUARES METHOD IN THE CONSTRUCTION OF DIAGRAMS
STRESS X NUMBER OF CYCLES AND STRAIN X NUMBER OF CYCLES
Abstract
This article contemplates the construction of diagrams: stress x number
of cycles and strain x number of cycles from the least squares method,
which can be used when you have a set of data and you want to fit a
mathematical function to them, so that the final result is as
representative as possible. The referred diagrams result from the
accomplishment of fatigue tests, which consist of applying cyclic loads
or deformations, generally of a sinusoidal nature, in standardized
specimens in order to determine the life or fatigue resistance of a
given material. A fatigue test requires the following information: part
geometry, type of applied load and material properties. With this
information and an adequate methodology, it becomes possible to obtain
the life expectancy or durability of the component. At the end, a
simplified code developed in Matlab is also available, which allows
performing all the partial calculations involved, as well as providing
the desired equation.