Difference beteween Strength, Hardness and Toughness

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Hardness refers to a material's resistance to permanent deformation, while toughness measures how much energy a material can absorb before fracturing. Strength is defined as the maximum stress a material can withstand without failure, which can be understood in terms of both fracture point and ultimate tensile strength. The discussion clarifies that strength and stiffness are distinct concepts; stiffness relates to resistance against deformation, whereas strength pertains to the ability to endure stress without permanent change. Misunderstandings often arise from conflating these terms, emphasizing the importance of precise definitions in material science. Understanding these differences is crucial for applications in engineering and materials selection.
lokifenrir96
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Hi, am I right to say that:

Hardness is a material's resistance to plastic deformation. E.g. if a spoon is hard, it's difficult to bend it.

Toughness is how much deformation a material can undergo before fracture. E.g. how much energy a spoon can absorb while deforming before it breaks.

Strength is the maximum amount of stress an object can take before deforming. Though I don't really see the difference between this and hardness...
 
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hi lokifenrir96! :smile:

wikipedia (http://en.wikipedia.org/wiki/Hardness) is very good, and clear, on this …

"Hardness is the measure of how resistant solid matter is to various kinds of permanent shape change when a force is applied."

"Strength is a measure of the extent of a material's elastic range, or elastic and plastic ranges together."

"The toughness of a material is the maximum amount of energy it can absorb before fracturing, which is different from the amount of force that can be applied."​

So hardness is about permanent change, strength is about elastic (non-permanent) change, and toughness is about energy (rather than force).

(See also http://en.wikipedia.org/wiki/Strength_of_materials and http://en.wikipedia.org/wiki/Toughness)
 
The details in the above post by Tiny Tim are very important. :-)

As one sees these are very different terms and knowing the difference is crucial.

(Like you said)If it is very difficult to deform a body, it is called hard.

Strength is something else
and infact strength is defined in two ways.

1) Based on fracture point


Imagine a body being stretched and stretched.
There will be a point after which it will break(into two or more pieces).This point is called the fracture point.

If the amount of streching (and thus force )required to break it is large its called a strong material.
And in laymen' terms is the definition of strength.

2) based on ultimate tensile strength

There is another way which is by measuring its ultimate tensile strength.
(this strength is used in technical aspects like engineering)

You can read more about it on


http://en.m.wikipedia.org/wiki/Ultimate_tensile_strength
 
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My textbook states:
STRENGTH ...how great a force a material can withstand before BREAKING
TOUGH material is not BRITTLE, ie does not crack readily
STIFFNESS is opposition to being DISTORTED

People very often use the word 'strong' when they means 'stiff'
 
tiny-tim said:
hi lokifenrir96! :smile:

wikipedia (http://en.wikipedia.org/wiki/Hardness) is very good, and clear, on this …

"Hardness is the measure of how resistant solid matter is to various kinds of permanent shape change when a force is applied."

"Strength is a measure of the extent of a material's elastic range, or elastic and plastic ranges together."

"The toughness of a material is the maximum amount of energy it can absorb before fracturing, which is different from the amount of force that can be applied."​

So hardness is about permanent change, strength is about elastic (non-permanent) change, and toughness is about energy (rather than force).

(See also http://en.wikipedia.org/wiki/Strength_of_materials and http://en.wikipedia.org/wiki/Toughness)

The text I have highlighted in bold is incorrect. Strength is not about elastic change. The correct definition for strength, from wikipedia, is:
Wikipedia said:
The ability to withstand an applied stress without failure.

So strength is about the ability to withstand forces without PERMANENT change e.g breakage. So hardness is one type of strength, just like tensile and compressive strength.

What Tiny Tim was talking about is stiffness, not strength. Stiffness is
Wikipedia said:
the extent to which an object resists deformation in response to an applied force.
The opposite of stiffness is elasticity - how far an object will stretch when pulled with a given amount of force.

Strength and stiffness are not at all the same thing and should never be confused for each other.

J. E. Gordon’s book The New Science of Strong Materials or Why You Don't Fall Through the Floor (ISBN 0- 691-02380-8) said:
A biscuit is stiff but weak, steel is stiff and strong, nylon is flexible but strong, raspberry jelly is flexible and weak.

The above quote sums it up quite nicely.
 
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Wikipedia said:
The ability to withstand an applied stress without failure.

it is important to define exactly what "failure" means. In some applications, exceeding the yield point of a material can be considered a failure. In other applications, the part can function quite well until it atually breaks. Therefore, as has been said, there are different types of "strength".
 
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