Abstract

Problems in fracture mechanics are difficult when the appropriate analysis is unspecified, which is very common in most real-life situations. Finite element modeling is thus demonstrated to be an essential technique to overcome these problems. There are currently various software tools available for modeling fracture mechanics problems, but they are usually difficult to use, and obtaining accurate results is not an obvious task. This paper illustrates some procedures in two finite element programs to solve problems in two- and three-dimensional linear-elastic fracture mechanics, and an educational proposal is made to use this software for a better understanding of fracture mechanics. Crack modeling was done in a variety of ways depending on the software. The first is the well-known ANSYS, which is usually utilized in industry, and the second was a freely distributed code, called FRANC2D/L, from Cornell University. These software applications were used to predict the fatigue crack growth path as well as the associated stress intensity factors. The predicted results demonstrate that the fatigue crack is turned towards the hole. The fatigue crack growth paths are influenced by the varying positions and sizes of single holes, while two symmetrically distributed holes have no effect on the fatigue crack growth direction. The findings of the study agree with other experimental crack propagation studies presented in the literature that reveal similar crack propagation trajectory observations.

Highlights

  • The main objective of fracture mechanics is to determine whether or not a structure will fail based on the presence of a crack

  • Crack analysis should start from field stresses in the crack tip, which are evaluated by the equivalent stress intensity factor (Keq)

  • The different positions and sizes of a single hole have a significant influence on the fatigue crack growth path

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Summary

Introduction

The main objective of fracture mechanics is to determine whether or not a structure will fail based on the presence of a crack. By comparing the Keq value to a material fracture toughness or threshold stress intensity factor, it is possible to determine whether or not a crack member would fail when subjected to static or fatigue loading, respectively. For the safety and reliability of engineering structures, it is important to predict the crack propagation path. In many industries, the accurate estimation of the crack path and fatigue life estimation are of primary importance in terms of the need for reliability. In various applications, such as aerospace manufacturing, experimental studies are necessary for fatigue analysis. Failure is related to (a) the presence of flaws such as interfaces, cracks, and (b) the nature of loads that fluctuate

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