Abstract
In this study, numerical models based on finite-element method are developed for several applications of fracture mechanics. The use of cracked specimens formed by different material properties has allowed us to analyse the effect of the crack position to the interface and to have a well understanding of mismatch effect for the case of mixed mode of fracture. In other hand, we have noticed that it is very interesting to see the effect of the interface position and loading for the case of symmetrically cracked ring specimen under compression loading.
Highlights
This study has extended the mismatch effect analyses for the mixed mode of fracture as the published results were only concerning the case of opening mode
It has been noticed that the mismatch effect can be present in the mixed mode of fracture for both cases such as: bi-material plates with inclined crack under tensile loading and bimaterial cracked ring specimen subjected to compression loading
The results show that the mismatch effect depends on the crack length for both opening mode and on the crack inclination angle i.e. the bimodality crack loading
Summary
Stress intensity factor Stress intensity factor for the first mode of fracture Stress intensity factor for the second mode of fracture Bi-elastic constant of material Young modulus of material j Poisson ratio of material j Shear modulus of material j Displacement of node i with respect to x axis Displacement of node i with respect to y axis Distance between nodes a and c or a and e Crack length Plate wide Equivalent stress intensity factor Normalized equivalent stress intensity factor Normalized equivalent stress intensity factor at crack tip A Normalized equivalent stress intensity factor at crack tip B Internal radius of cracked ring specimen External radius of cracked ring specimen Global applied stress Applied stress in y direction for material 1 and 2 respectively Inclination angle of interface with respect to x axis Inclination angle of the crack with respect to x axis Stress Intensity Factor Red Green Blue Polycarbonate/aluminium cracks emanating from interface of bi-material specimens under three points flexion loading Another experimental method based on RGB photoelasticity has been carried out by Cirello and Zuccarelo [12] to analyse the propagation of cracks perpendicular to interface of bi-material plates. The second point concerns the influence of the interface position and loading direction on the stress field near the crack tip of bi-material ring specimen where cracks are symmetrically located
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