Abstract
Modelling of a crack propagating through a finite element mesh under mixed mode conditions is of prime importance in fracture mechanics. In this paper, three different crack growth criteria and the respective crack paths prediction in the cement mantle of the reconstructed acetabulum are compared. The maximum tangential stress (MTS) criterion, the minimum strain energy density (MSED) criterion and the new general fracture criterion based on the energy release rate G(θ) are investigated using advanced finite element technique. The displacement extrapolation technique (DET) is used, to obtain the SIFs at crack tip. Several examples are presented to show the robustness of the numerical techniques. The effect of the inclusions and cavities on the crack propagation in cement orthopedic are highlighted.
Highlights
Total Hip Replacement (THR) is one of the most successful surgical procedures ever developed where a ballsocket structure is used to replace a diseased or damaged hip joint
This modeling is based on the maximum tangential stress criterion (MTS), the minimum strain energy density (MSED) criterion and the general fracture criterion based on the approximate expression of energy release rate G(θ), to present a comparison of the crack propagation paths
We can conclude that the initial crack angle of 40° represents the initial direction of the crack propagation according to the opening mode with: KI=KImax and KII=0
Summary
Total Hip Replacement (THR) is one of the most successful surgical procedures ever developed where a ballsocket structure is used to replace a diseased or damaged hip joint. Cracks initiated at the junction between bone and cement or between cement and cup. Benbarek et al.[10] used the finite element method to analyze the propagation path of the crack in orthopedic cement around a total hip replacement. Kim et al.[12] determine the specific fracture mechanics response of cracks that initiate at the stem-cement interface and propagate into the cement mantle. For a crack under the mixed-mode I/II loading conditions, a number of fracture criteria have been developed through a concerted effort by many researchers in the past decades. Erdogan et al.[13] proposed the maximum circumferential stress (MCS) criterion, which assumed that fracture occurs in the direction where the circumferential stress surrounding the crack tip is the maximum. Hussain et al.[16], Palaniswamy and Knauss[17], Nuismer[18] and Wu19 proposed the maximum energy release rate (MERR) criterion based on Griffith’s theory[20, 21] proposed a new Materials Research
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