Characterization of crack tip stresses in plane-strain fracture specimens having weld center crack

• DOI: 10.1016/j.ijsolstr.2013.12.039
• Publication Date: 2014-01-07T01:47:00Z
• Authors: Suranjit Kumar; I.A. Khan; V. Bhasin; R.K. Singh
• Keywords: Mechanical Engineering; Applied Mathematics; Condensed Matter Physics; 01 natural sciences; Weld mismatch; Constraint; Finite element; Materials Science(all); Mechanics of Materials; Crack tip stress; Modelling and Simulation; 0101 mathematics

AbstractFracture toughness of metals depends strongly on the state of stress near the crack tip. The existing standards (like R-6, SINTAP) are being modified to account for the influence of stress triaxiality in the flaw assessment procedures. These modifications are based on the ability of so-called ‘constraint parameters’ to describe near tip stresses. Crack tip stresses in homogeneous fracture specimens are successfully described in terms of two parameters like J–Q or J–T. For fracture specimens having a weld center crack, strength mismatch ratio between base and weld material and weld width are the additional variables, along with the magnitude of applied loading, type of loading, and geometry of specimen that affect the crack tip stresses. In this work, a novel three-parameter scheme was proposed to estimate the crack tip opening stress accounting for the above-mentioned variables. The first and second parameters represent the crack tip opening stress in a homogeneous fracture specimen under small-scale yielding and are well known. The third parameter accounts for the effect of constraint developed due to weld strength mismatch. It comprises of weld strength mismatch ratio (M, i.e. ratio of yield strength of weld material to that of base material), and a plastic interaction factor (Ip) that scales the size of the plastic zone with the width of the weld material. The plastic interaction factor represents the degree of influence of weld strength mismatch on crack tip constraint for a given mismatch ratio. The proposed scheme was validated with detailed FE analysis using the Modified Boundary Layer formulation.