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Callister - An introduction - 8th edition

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8.5 Principles of Fracture Mechanics • 247<br />

Table 8.2<br />

A List of Several Common Nondestructive Testing (NDT) Techniques<br />

Defect Size<br />

Technique Defect Location Sensitivity (mm) Testing Location<br />

Scanning electron Surface 0.001 Laboratory<br />

microscopy (SEM)<br />

Dye penetrant Surface 0.025–0.25 Laboratory/in-field<br />

Ultrasonics Subsurface 0.050 Laboratory/in-field<br />

Optical microscopy Surface 0.1–0.5 Laboratory<br />

Visual inspection Surface 0.1 Laboratory/in-field<br />

Acoustic emission Surface/subsurface 0.1 Laboratory/in-field<br />

Radiography Subsurface 2% of specimen Laboratory/in-field<br />

(x-ray/gamma ray)<br />

thickness<br />

a are specified by application constraints; therefore, the design (or critical) stress c<br />

must be<br />

Computation of<br />

design stress<br />

s c <br />

K Ic<br />

Y1pa<br />

(8.6)<br />

On the other hand, if stress level and plane strain fracture toughness are fixed by<br />

the design situation, then the maximum allowable flaw size a c is<br />

Computation of<br />

maximum allowable<br />

flaw length<br />

a c 1 p a K Ic<br />

sY b 2<br />

(8.7)<br />

A number of nondestructive test (NDT) techniques have been developed that<br />

permit detection and measurement of both internal and surface flaws. 4 Such techniques<br />

are used to examine structural components that are in service for defects<br />

and flaws that could lead to premature failure; in addition, NDTs are used as a<br />

means of quality control for manufacturing processes. As the name implies, these<br />

techniques must not destroy the material/structure being examined. Furthermore,<br />

some testing methods must be conducted in a laboratory setting; others may be<br />

adapted for use in the field. Several commonly employed NDT techniques and their<br />

characteristics are listed in Table 8.2.<br />

One important example of the use of NDT is for the detection of cracks and<br />

leaks in the walls of oil pipelines in remote areas such as Alaska. Ultrasonic analysis<br />

is utilized in conjunction with a “robotic analyzer” that can travel relatively long<br />

distances within a pipeline.<br />

DESIGN EXAMPLE 8.1<br />

Material Specification for a Pressurized Spherical Tank<br />

Consider the thin-walled spherical tank of radius r and thickness t (Figure 8.11)<br />

that may be used as a pressure vessel.<br />

4<br />

Sometimes the terms nondestructive evaluation (NDE) and nondestructive inspection<br />

(NDI) are also used for these techniques.

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