β π == (Eq 8) ε=− (Eq 9) σ − = − (Eq 10) ≈ μ μ ε σ ∂ = ∂ (Eq 11) δ = (Eq 12) =−−− (Eq 13) υ − = − (Eq 14) • • • (Eq 1) • • • • • • • υ (Eq 2) ? (Eq 3) Γ Θ Θ (Eq 4) Γ Θ ≈ ≈ (Eq 5) Γ Θ Θ Table 1 Comparison of average residual stress calculated using Eq 3 and 4 Calculated stress Eq 3 Eq 4 d s /d c MPa ksi MPa ksi (Eq 6) υ (Eq 7) σ σ σ ≠ σ σ ≠ σ [...]... ε −ε β= ε +ε − ε ± ε −ε + ε +ε − ε (Eq 18) ε +ε (Eq 19) Table 2 Numerical values of dimensionless calibration coefficients D0/D Through-the-thickness hole(a) Blind hole(b), depth = 0.4 D and υ Table 3 Hole-drilling residual stress measurements on a detonation gun WC-Co coating Strains, με Depth σx mm • • • • in ε1 ε2 α Average stress ε3 MPa τ σy ksi MPa ksi σmax xy MPa ksi MPa τ σmin ksi MPa ksi max...Significance and Use φ ε ϕψ ϕψ φ φ τ φ (Eq 8) τ φ φ τ ε ϕψ ϕψ φ φ τ τ τ τ Biaxial Stress ε ϕψ ϕψ (Eq 9) φ φ φ φ φ φ ϕψ ϕψ φ = ϕψ = φ (Eq 10) (Eq 11) φ ϕψ ϕψ ϕψ = φ φ (Eq 12) Triaxial Stress State Without Shear Stress ε ϕψ ϕψ φ ϕψ φ φ φ (Eq 13) φ φ φ φ (Eq 14) Triaxial Stress State With Shear Stress τ τ φ ε ϕψ ε ϕψ − ϕψ φ φ ϕψ φ φ τ φ ε ϕψ + ε ϕψ − ϕψ τ φ τ φ ϕψ τ τ φ τ . 17) σσεεεεεεε βεεεεε =−±−++− =+−+ (Eq 18) (Eq 19) Table 2 Numerical values of dimensionless calibration coefficients and Through-the-thickness hole (a) Blind hole (b) , depth = 0.4 DD 0 /D