Algoritmo em MATLAB para avaliar fadiga multiaxial de alto ciclo através do método de Dang Van

Abstract

The fatigue failure is the most typical type of failure regarding mechanical equipment. This type of failure might induce major financial loss to companies and even to a country’s economy. The fatigue failure might also cost human beings’ lives, due to fatigue fractures of airliners. The fatigue is a very complex phenomena, and, for that reason, it is only partially known. Seeking for specific or general cases’ solutions due to fatigue failure, many models have been developed, given that each model’s precision and its applicability varies from one to another. On account of loadings and the geometry of real parts’ complexity, the fatigue analysis is commonly concerned by finite elements analysis and following and automated by computational methods. This provided monograph discusses the development of a computational algorithm to analyze the high cycle fatigue through Dang Van’s method. Therefore, MATLAB’s programming language was used. Furthermore, and algorithm to integrate MATLAB to COMSOL Multiphysics was developed in order to provide analyses of geometrically complex parts subjected to the most varied types of mechanical loadings through the established algorithm. The algorithms were tested and validated by two problems. The first one is a thin walled tube problem subjected to a nonproportional multiaxial loading suggested by the literature. The second one was the analysis of a bicycle fork subjected to a complex loading. The developed algorithm results and the performance of the COMSOL Multiphysics’ simulation were compared so the algorithms could be validated.