LOADING HISTORY DEPENDENCY OF THE STRESS AND THE DISPLACEMENT FOR AN ANISOTROPIC LINEAR ELASTIC MATERIAL WITH A CRACK IN FRICTIONAL CONTACT

Abstract

 In this paper, considering a straight crack in an infinitely extended anisotropic linear elastic material, we obtain a closed form solution of the stress and the displacement. The given far field stresses are such that the crack faces are in frictional contact and may slide against each other. We note that the final stress and displacement in the body do not uniquely determined by the final far field stresses but are dependent on the loading history since the crack faces are in frictional contact.
 Azhdari, A., et al. obtained the same stress intensity factors as ours for the above mentioned problem without considering the stress boundary conditions. We examine their method in detail in the appendix.