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Stress-strain and fracture toughness

(a) Sketch the typical stress-strain curve for a metal and a ceramic. Using the sketch, indicate the following properties; elastic and plastic regions, yield points, Ultimate Tensile Strength (UTS), strain energy and fracture toughness.
(b) A cylindrical specimen of a titanium alloy with a Young's modulus of 107 GPa has an original length of 250mm and a diameter of 3.8mm. It will experience only elastic deformation when a tensile force of 2000 N is applied. How much will it elongate (stretch)?
(c) Briefly describe the process of yielding and give 3 examples of failure in a metal.

Solution Preview

As you need help in section (a) and (c). Below is the explanation for both the problems. SEE ATTACHED DOC FILE FOR SOLUTION CONTAINING FIGURE.

Solution - (a)

Stress-strain curve of ceramics and metals is shown in the figure bellow. As ceramics are brittle they undergo in elastic deformation and get fractured at yield point only while metal (ductile material) undergo plastic deformation.

[SEE ATTACHMENT FOR FIGURE]

Solution - (c)

By giving tension on the ...

Solution Summary

The expert sketches the typical stress-strain curve for a metal and a ceramic. The process of yielding examples of failure in a metal are determined.

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