“…A study by Sun et al [
53 ] showed that the residual stress present in the material is directly proportional to its strain energy. This strain energy ( ε ) can be expressed as
where G is the shear modulus (26.1 × 10 3 MPa), b is the Burgers vector (0.286 nm), and ρ is the density of geometrically necessary dislocations, which can be calcualted using the equation below: [
54 ]
where α = 3 is a constant corresponding to geometry of the boundary, u is the step size during the EBSD analysis (0.8 μm), θ is the average misorientation angle across the boundaries, which can be calculated as
where β is the average KAM value. In this study, both the joints fractured at the Ti interface.…”