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This study presents a closed form, second order, Mode-I fracture mechanics solution for a cracked elastic beam subject to axial compressive load. The solution considers a crack with a symmetric parabolic geometric imperfection in the beam and provides the strain energy release rate (SERR) as a continuous function of the axial load level. The effect of the elastic interface is considered by means of an additional equivalent beam length determined from a Winkler beam model. The closed form solution is corroborated through numerical non-linear fracture analyses for different geometries with isotropic and transverse isotropic material properties. The results show that the analytical models provide accurate predictions with an accuracy ranging between 2% and 4%. It is analytically adduced that the second order SERR in a cracked beam subject to axial loading is stable inasmuch the SERR decreases with increasing crack length. Moreover, the results show a significant influence of the elastic interface on the SERR.
|Journal||Engineering Fracture Mechanics|
|Number of pages||11|
|Publication status||Published - 2021|
- Closed form solution
- Second order effect
- Parabolic imperfection
- Cmpressive load
- Strain energy release rate
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CASMaT: Villum Center for Advanced Structural and Material Testing
Stang, H., Kleis, C., Mikkelsen, L. P., Sørensen, B. F., Toftegaard, H., Berggreen, C., Branner, K., Michel, A., Andreassen, M. J., Luczak, M., Chen, X., Bjørnbak-Hansen, J., Legarth, B. N., Waldbjørn, J. P., Bangaru, A. K., Moncy, A. & Quinlan, A. R.
07/11/2017 → …