Application of 𝑇₃₃-Stress to Predict the Lower Bound Fracture Toughness for Increasing the Test Specimen Thickness in the Transition Temperature Region

Table 1

Fracture toughness test and FEA results for A533B compiled from the Shoreham reactor pressure vessel data [1] (3PB, 𝑊=25.4 mm, −91°C; 𝜇: average, Σ: standard deviation).

𝐵mm (𝐵/𝑊)	Serial number	1	2	3	4	5	6	𝜇	Σ	2Σ/𝜇 %
8 (0.315)	𝑎/𝑊^∗	0.5	0.49	0.5	0.5	0.5	0.5	0.50	0.0	1.6
	𝑃𝑐 kN*	9.61	9.49	9.02	9.52	9.61	8.99	9.37	0.3	6.2
	𝐾𝑐 MPa m^1/2	80.3	76.8	75.3	79.6	80.3	75.1	77.9	2.4	6.3
	𝐾𝐽𝑐 MPa m^1/2∗	149	131	118	124	157	98	129.5	21.4	33.1
	𝐽𝑐 N/mm	97.8	75.6	61.3	67.7	108.6	42.3	75.6	24.3	64.3
	𝑇33𝑐 MPa	−234.4	−226.0	−219.9	−232.2	−234.4	−219.1	−227.7	7.0	−6.2
15.9 (0.63)	𝑎/𝑊^∗	0.52	0.52	0.52	0.52	0.52	0.52	0.52	0.0	0.0
	𝑃𝑐 kN*	18.2	18.8	17.4	17.3	18.4	17.9	18.0	0.6	6.2
	𝐾𝑐 MPa m^1/2	81.7	84.1	78.2	77.6	82.5	80.3	80.7	2.5	6.2
	𝐾𝐽𝑐 MPa m^1/2∗	130	126	92	89	131	100	111.3	19.8	35.5
	𝐽𝑐 N/mm	74.5	69.9	37.3	34.9	75.6	44.1	56.0	19.3	68.8
	𝑇33𝑐 MPa	−112.7	−116.0	−107.9	−107.1	−113.8	−110.9	−111.4	3.5	−6.2
31.8 (1.25)	𝑎/𝑊^∗	0.52	0.52	0.52	0.52	0.53	0.52	0.52	0.0	1.6
	𝑃𝑐 kN*	35.4	37.5	38.5	32.9	35.1	34.6	35.7	2.0	11.4
	𝐾𝑐 MPa m^1/2	79.3	84.1	86.4	73.8	81.2	77.6	80.4	4.5	11.3
	𝐾𝐽𝑐 MPa m^1/2∗	89	126	128	84	96	90	102.2	19.6	38.4
	𝐽𝑐 N/mm	34.9	69.9	72.2	31.1	40.6	35.7	47.4	18.6	78.4
	𝑇33𝑐 MPa	−12.5	−13.3	−13.6	−11.6	−9.8	−12.2	−12.2	1.4	−22.4
63.5 (2.5)	𝑎/𝑊^∗	0.5	0.49	0.49	0.5	0.49	0.49	0.49	0.0	2.1
	𝑃𝑐 kN*	76.3	57.9	77.0	49.2	60.4	70.4	65.2	11.2	34.2
	𝐾𝑐 MPa m^1/2	80.3	59.0	78.6	51.7	61.6	71.8	67.2	11.5	34.2
	𝐾𝐽𝑐 MPa m^1/2∗	94	62	89	52	63	78	73.0	16.6	45.6
	𝐽𝑐 N/mm	38.9	16.9	34.9	11.9	17.5	26.8	24.5	10.8	88.4
	𝑇33𝑐 MPa	15.0	9.3	12.4	9.7	9.7	11.3	11.3	2.2	39.0

∗Published results in [1].