A method of constructing weighting functions for a circular crack
A general formulation is used to consider a static problem for a linearly elastic body with internal circular crack of normal separation. It is shown that the corresponding weighting function enabling a direct calculation to be made of the stress intensity factor under arbitrary loading conditions is equal to the product of the axisymmetric weighting function and Poisson's kernel. As an example, the weighting function is constructed for a circular crack in an unbounded inhomogeneous body with periodic law of variation in the value of Poisson's ratio. An asymptotic analysis of the solution obtained is carried out for a material with rapidly oscillating elastic characteristics.
scientific article; zbMATH DE number 56418
scientific article