Abstract
Overall failure may occur in many engineering structures due to the initiation and growth of cracks. Stress intensity factors are extensively used to investigate crack growth in Linear Elastic Fracture Mechanics (LEFM). In many cracked specimens, the stress singularity varies through the thickness and therefore, investigation of stress intensity factor variation in crack front and determination of its maximum value becomes important. In this study, mode I stress intensity factor (KI) variation in different sections of crack front is investigated using finite element method for three typical fracture test specimens. Then, these variations were compared with the result of two-dimensional analytical values. The results show that the stress intensity factor variations are independent with the thickness for all the specimens. Marked discrepancies are shown between the maximum values of stress intensity factors in crack front and those of obtained from two-dimensional analysis.
Highlights
Many failures of engineering structures are attributed to the consequences of pre-existing cracks or crack-like discontinuities which may occur during manufacturing or service life conditions
The Linear Elastic Fracture Mechanics (LEFM) concept is a valid assumption for studying failure behavior of many engineering materials like brittle and quasi-brittle materials
The purpose of this research is the three-dimensional investigation of mode I stress intensity factor (KI) variations in different sections of crack front for three typical specimens
Summary
Many failures of engineering structures are attributed to the consequences of pre-existing cracks or crack-like discontinuities which may occur during manufacturing or service life conditions. The Linear Elastic Fracture Mechanics (LEFM) concept is a valid assumption for studying failure behavior of many engineering materials like brittle and quasi-brittle materials For these kind of materials, the stress intensity factors and sometimes higher order terms of the Williams (1952) series expansion are considered as the fracture parameters to characterize elastic stress field around crack tip. The coefficients of the Williams series expansion are calculated so far by many researchers to study the effect of each term on the stress distribution adjacent the crack tip at both homogeneous and bi-material media (Ayatollahi et al, 2010; 2011; 2013; Mirsayar, 2013; 2014a; 2014b; Mirsayar et al, 2014; Ravichandran and Ramesh, 2005) It is well-known that the singular stress field, first and the second term of the stress field, are often more important than higher order terms at the crack tip regions. It is very important to calculate the variation of the stress intensity factors around the crack tip
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