Open AccessOn the crack-tip asymptotic fields
Author(s) -
С. В. Кузнецов
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/869/5/052006
Subject(s) - stress intensity factor , asymptote , discontinuity (linguistics) , crack tip opening displacement , displacement field , displacement (psychology) , mathematics , infinitesimal , mathematical analysis , geometry , boundary (topology) , plane stress , stress field , physics , fracture mechanics , finite element method , psychology , psychotherapist , thermodynamics
Analytical expression between the vectorial stress intensity factor (SIF) and displacement discontinuity intensity factor (DDIF) is derived for an arbitrary shaped plane crack with a smooth crack boundary. The crack is placed in an elastic anisotropic medium with monoclinic symmetry (syngonium). The analysis is based on constructing the outer and inner asymptotes for the corresponding surface stress and displacement discontinuity fields at the crack boundary. The closed form operator of the class -1 in Hörmander 1/2-space of the theory of cracks along with the associated amplitudes and symbols are constructed. Both strain and displacement fields assumed to be infinitesimal.