True/False: Plate Size & Fracture Stress

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SUMMARY

A large plate of a brittle material does not fracture at a higher applied tensile stress compared to a small plate of the same material, confirming that size influences fracture stress. Additionally, the critical stress for a fracture of an internal crack of length 1mm is indeed less than that for a surface crack of length 0.8mm, as established by the basic principles of strain and stress distribution. The discussion emphasizes the importance of understanding critical stress intensity factors (KIc) in evaluating fracture mechanics across different geometries.

PREREQUISITES
  • Understanding of fracture mechanics principles
  • Knowledge of critical stress intensity factors (KIc)
  • Familiarity with tensile stress and strain relationships
  • Basic concepts of material properties, specifically brittle materials
NEXT STEPS
  • Research the calculation of critical stress intensity factors (KIc) for various geometries
  • Study the effects of plate size on fracture mechanics in brittle materials
  • Explore the differences between internal and surface cracks in materials
  • Learn about the application of the Griffith criterion in fracture analysis
USEFUL FOR

Material scientists, mechanical engineers, and anyone involved in structural integrity assessments of brittle materials will benefit from this discussion.

kpx001
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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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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
 
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?
 

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