Criterion for Crack Kinking out of the Interface of Two Orthotropic Layers Subjected to Thermal and Mechanical Loading

Abstract:

The problem of crack path stability along the interface between two orthotropic elastically dissimilar materials under the presence of in-plane residual stresses is analyzed using the concept of Finite Fracture Mechanics and matched asymptotic procedure. An energy based fracture criterion is introduced for this problem and it is investigated whether and how is the criterion for the prediction of crack kinking from the interface affected by residual stresses. The complex stress intensity factor and the T-stress characterizing the stress state at the crack tip are calculated both for the thermal (residual stresses) and mechanical loading using the two-state integral. The matched asymptotic procedure together with FEM is used to derive the change of the potential energy induced by the crack growth by crack increment of finite length.

• Periodical: Key Engineering Materials (Volumes 592-593)
• Pages: 169-172
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.592-593.169
• Online since: November 2013
• Authors: Petr Damborský, Oldřich Ševeček*, Tomáš Profant, Michal Kotoul
• Keywords: Crack Propagation, Finite Element Method (FEM), Finite Fracture Mechanics, Fracture Criterion, Interface Crack

References

[1] M. -Y. He, A.G. Evans, J.W. Hutchinson: Int. J. Solids Struct. Vol. 31 (1994), p.3443.

[2] D. Leguillon, C. Lacroix, E. Martin, , Int. J. Solids Struct. Vol. 38 (2001), p.7423.

[3] W. Lee, H. Shin, Y-H Yoo, Int. Journal of Eng. Science Vol. 42 (2004), p.257.