Three-parameter K–T–Tz characterization of the crack-tip fields in compact-tension-shear specimens

A complete three-parameter K–T–Tz description of the mixed-mode I/II three-dimensional (3D) crack-tip stress fields has been proposed, in which the stress intensity factor K, T-stress and out-of-plane constraint factor Tz around mix-mode I/II crack front in compact-tension-shear specimens are all the functions of the Poisson ratio v, thickness ratio zB and load angle φ. By fitting the numerical results with the least squares method, empirical formulae have been obtained to accurately describe the 3D distributions of the three parameters for the convenience of engineering applications, which can be used to characterize the 3D crack-tip stress fields completely and establish the three-parameter dominated stress fields.

► A complete solution of the three-dimensional mixed-mode I/II crack-tip stress fields is obtained.
► The present three-parameter solution can be used to characterize the 3D crack-tip stress fields completely.
► The empirical formulae are presented to accurately describe the 3D distributions of the three parameters.
► The present solution should be of significance for describing the three-dimensional mixed-mode I/II fracture.