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MECHANICAL
PROPERTIES
Chapter Outline
Terminology for Mechanical Properties
The Tensile Test: Stress-Strain Diagram
Properties Obtained from a Tensile Test
True Stress and True Strain
The Bend Test for Brittle Materials
Hardness of Materials
4 Stress-Strain Test specimen machine
5 Tensile Test
Terminology
(^) Load - The force applied to a material during testing. (^) Strain gage or Extensometer - A device used for measuring change in length (strain). (^) Engineering stress - The applied load, or force, divided by the original cross-sectional area of the material. (^) Engineering strain - The amount that a material deforms per unit length in a tensile test.
8
F
bonds stretch return to initial
- Initial 2. Small load 3. Unload Elastic means reversible.
F
Linear- elastic Non-Linear- elastic Elastic Deformation
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Typical stress-strain
behavior for a metal
showing elastic and
plastic deformations,
the proportional limit P
and the yield strength
y
, as determined
using the 0.002 strain
offset method (where there
is noticeable plastic deformation).
P is the gradual
elastic to plastic
transition.
11 Plastic Deformation (permanent)
- (^) From an atomic perspective, plastic
deformation corresponds to the breaking of
bonds with original atom neighbors and
then reforming bonds with new neighbors.
- (^) After removal of the stress, the large
number of atoms that have relocated, do
not return to original position.
- (^) Yield strength is a measure of resistance
to plastic deformation.
(c)2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.
- (^) Localized deformation of a ductile material during a tensile test produces a necked region.
- (^) The image shows necked region in a fractured sample
14 Permanent Deformation
- (^) Permanent deformation for metals is
accomplished by means of a process called
slip, which involves the motion of
dislocations.
- (^) Most structures are designed to ensure that
only elastic deformation results when stress
is applied.
- (^) A structure that has plastically deformed, or
experienced a permanent change in shape,
may not be capable of functioning as
intended.
Stress-Strain Diagram Strain ( ) (e/Lo) 4 1 2 3 5 Stress (F/A) Elastic Region Plastic Region Strain Hardening Fracture ultimate tensile strength Slope= E Elastic region slope=Young’s(elastic) modulus yield strength Plastic region ultimate tensile strength strain hardening fracture necking yield strength UTS y σ E ε ε σ E 2 1 y ε ε σ E
Stress-Strain Diagram (cont)
- (^) Elastic Region (Point 1 –2) - The material will return to its original shape after the material is unloaded( like a rubber band). - The stress is linearly proportional to the strain in this region. σ E ε : Stress(psi) E : Elastic modulus ( Young’s Modulus ) (psi) : Strain (in/in)
- (^) Point 2 : Yield Strength : a point where permanent deformation occurs. ( If it is passed, the material will no longer return to its original length.) ε σ or^ E^
- (^) Tensile Strength (Point 3) - The largest value of stress on the diagram is called Tensile Strength(TS) or Ultimate Tensile Strength (UTS) - It is the maximum stress which the material can support without breaking.
- (^) Fracture (Point 5) - If the material is stretched beyond Point 3, the stress decreases as necking and non-uniform deformation **occur.
- Fracture will finally occur at Point 5.** Stress-Strain Diagram (cont)
(c)2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. The stress-strain curve for an aluminum alloy.