残留応力の測定について(第2報) : 熱処理をした中実および中空円筒の残留応力の測定について

概要

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The author reported, in the first report, a method of measurement of residual stress in the heat treated solid cylinder with small diameter, consisting of the removal of surface layer of the specimen by corrosion and the measurement of the resultant changes of the length in axial direction and the specific volume of the remaining portion. In the present report, the author shows a method of measurement of the residual stress in the heat treated hollow or solid cylinder when the inner layer of the specimen is removed. Let _0σ_z, _0σ_t, and _0σ_r be the residual stresses in the axial circumferential and redial direction respectively, further let ε_z andε_ν be the changes of axial strain and volume strain accompanied by removal. Then the three stresses _0σ_z, _0σ_t, _0σ_r are expressed as follows : _0σ_z=E/(1+ν){(f_b-f)d/(df)(ε_z+ν/(1-2ν)ε_ν)-(ε_z+ν/(1-2ν)ε_ν)} _0σ_t=-E/(1+ν){(f_b-f)d/(df)(ε_z-1/(1-2ν)ε_ν)+(f_b+f)/(2f)(ε_z-1/(1-2ν)ε_ν)} _0σ_r=-E/(1+ν)(f_b-f)/(2f)(ε_z-1/(1-2ν)ε_ν) where E : Young's modulus. ν : Poisson's ratio. f_b=Cross sectional area in the outer diameter of cylinder. f : Removed area. The change of volume strainε_ν is, when we put ν^^-_0 and ν^^- for the specific volume of the specimens before and after removal. ε_ν=(2(1-2ν))/(3(1-ν)) (ν^^--ν^^-_0)/(ν^^-_0) The procedure and the actual data of measurement are explained. The effect of boring by cutting is also reported.
1963-02-15