True/False: Plate Size & Fracture Stress

In summary, True or false: a large plate of a brittle material fractures at a higher applied tensile stress as compared to a small plate of the same material. True or false: the critical stress for a fracture of an internal crack of length 1mm is less than the critical stress for fracture of the same material with a surface crack of length .8mm. The smaller the original length of a material, the less it will strain before breaking. It is also possible to determine the effects on critical stress intensity and stress intensity in different situations or geometries.
  • #1
kpx001
15
0
True or false: a large plate of a brittle material fractures at a higher applied tensile stress as compared to a small plate of the same material.

and
True or false: the critical stress for a fracture of an internal crack of length 1mm is less than the critical stress for fracture of the same material with a surface crack of length .8mm
 
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  • #2
going by the the very basic equation for strain in any material being the change in length divided by the original length, if the stress on the object is constant then then the smaller the original length is, the less it'll strain before breaking.

I'm pretty sure about that, but I could also be horribly wrong, so my guess would be; True
 
  • #3
kpx001 said:
True or false: a large plate of a brittle material fractures at a higher applied tensile stress as compared to a small plate of the same material.

and
True or false: the critical stress for a fracture of an internal crack of length 1mm is less than the critical stress for fracture of the same material with a surface crack of length .8mm
Can one determined the effects on critical stress intensity (e.g. KIc) and the stress intensity of the different situations/geometries?
 

FAQ: True/False: Plate Size & Fracture Stress

What is the relationship between plate size and fracture stress?

The relationship between plate size and fracture stress is that as plate size increases, fracture stress also increases. This means that larger plates can withstand more force before breaking compared to smaller plates.

Is there a limit to how large a plate can be before it no longer increases fracture stress?

Yes, there is a limit. As plate size continues to increase, the relationship between plate size and fracture stress becomes less significant. This is because other factors such as material strength and structural design start to play a larger role in determining fracture stress.

Does plate size have an impact on the type of fracture that occurs?

Yes, plate size can have an impact on the type of fracture that occurs. Larger plates are more likely to experience ductile fracture, where the material stretches and deforms before breaking, while smaller plates are more likely to experience brittle fracture, where the material breaks with little to no deformation.

How do different materials affect the relationship between plate size and fracture stress?

Different materials can have different effects on the relationship between plate size and fracture stress. For example, a stronger material can allow for a larger plate size before reaching its fracture stress limit, while a weaker material may have a smaller plate size limit. The type of fracture that occurs also varies depending on the material's properties.

Can fracture stress be increased by changing the shape of the plate?

Yes, fracture stress can be increased by changing the shape of the plate. By altering the shape, the distribution of stress can be changed, allowing for a more efficient use of material and potentially increasing the fracture stress limit. This is often seen in designs such as arches or domes, where the curved shape helps distribute stress more evenly.

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