C-shaped Test Specimen

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C-shaped test specimen

The C-shaped test specimen is referred to as an ‘arc-shaped specimen’ in Anglo-Saxon countries.

Test specimen shape

Fig.:

Schematic presentation of the C-shaped test specimen

Dimensions (according [1, 2]):
W = 2 B standard test specimen
W = 2 B to 4 B alternative test specimen
D = 0.25 W
a = 0.45 ... 0.55 W
x = 0.5 W
N = W/10 (at least 1.5 mm)

Other test specimen shapes:

RCT	–	RCT-Specimen (disc shaped specimen) [1, 2] or also referred to as: Round test specimen according to FEDDERN and MACHERAUCH
CTPB	–	Pipe segment test specimen

Determination equation

$K_{I}={\frac {F}{B\cdot W^{1/2}}}f_{1}(a/W)\cdot f_{2}(x/W)$

$f_{1}(a/W)=18.23(a/W)^{1/2}-106.2(a/W)^{3/2}+379.7(a/W)^{5/2}-582(a/W)^{7/2}+369.1(a/W)^{9/2}\!\$

$f_{2}(x/W)=\lbrack 1+1.54(x/W)+0.5(a/W)\rbrack \cdot \lbrace 1+0.22\lbrack 1-(a/W)^{1/2}(1-(r_{1}/r_{2})\rbrack \rbrace \!\$

Application

• component-specific test specimen removal for thick-walled high-pressure cylinders
• plastic pipes (e.g., PVC pipes in hot water systems, where the weld line is considered a weak point (notch) [3])

See also

• Specimen for fracture mechanics tests
• CT-specimen
• RCT-specimen
• Notch
• Weld line

References

[1]	ASTM E 399 (2024): Standard Test Method for Linear-Elastic Plane-Strain Fracture Toughness of Metallic Materials
[2]	Blumenauer, H., Pusch, G.: Technische Bruchmechanik. Deutscher Verlag für Grundstoffindustrie, Leipzig Stuttgart (1993) 3rd Edition (ISBN 3-342-00659-5; see AMK-Library under E 29-3)
[3]	Natusch, A.: Bruchmechanische Untersuchungen an spritzgegossenen Formteilen aus PVCC. Ingenieurbeleg, Technischen Hochschule „Carl Schorlemmer“ Leuna-Merseburg 1983 (see AMK-Library under B 3-13)