Force graphs and stress-strain graphs

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SUMMARY

The discussion centers on the characteristics of force-compression and compressive-strain graphs compared to their tensile counterparts. Participants clarify that while force-extension and force-compression graphs may appear similar, they differ in their axis representation. The compressive-strain graph, particularly in relation to Young's Modulus, does not mirror the tensile stress-strain graph due to material behavior differences under compression versus tension. The example of a slinky spring illustrates that while some materials may exhibit similar behaviors in limited ranges, significant differences arise when approaching elastic limits.

PREREQUISITES
  • Understanding of force-extension and force-compression graphs
  • Knowledge of stress-strain relationships, particularly Young's Modulus
  • Familiarity with Hooke's Law and its applications
  • Basic concepts of material behavior under tension and compression
NEXT STEPS
  • Research the differences between tensile and compressive stress-strain graphs
  • Study the implications of Young's Modulus in compressive materials
  • Explore Hooke's Law in detail, focusing on its limitations in compression
  • Investigate material science principles related to elastic and plastic deformation
USEFUL FOR

Material scientists, mechanical engineers, and students studying mechanics of materials who seek to understand the differences in material behavior under tension and compression.

jsmith613
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I know what a force-extension graph looks like.

DOes a force-compression graph look the same just with different axis?
(compression on the x-axis NOT extension)

DOes a compressive-strain graph (Young Modulus) look the same as a tensile stress-strain graph?

if not what do they look like

thanks
 
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What do you think?
 
Dadface said:
What do you think?

I think that they would be the same but I was just clarifying

Am I correct?
 
Last edited:
Can you think of any sample of any material which when compressed acts in a similar way to when stretched?
 
Dadface said:
Can you think of any sample of any material which when compressed acts in a similar way to when stretched?

A slinky spring?
 
I am now imagining a spring where the loops are not touching.When compressed the spring may display a Hooke's law type of behaviour but only until the loops actually make contact in which case any further compressive force tends to laterally distort the spring and or compress the material from which the spring is made from.Any resulting compression will be extremely (possibly immeasurably) small.Depending on the exact structure of the spring the Hooke's law type extension can be much greater than the compression and exceeding the elastic limit can result in the spring displaying increasing extensions similar to those displayed by ductile materials going into plastic regions.In short,with this example and others I can think of I can see some similarities between stretching and compressing but only for a narrow region surrounding the unstretched/uncompressed length.
 
For compression stress-strain graphs it would be the same then? or not?
 
Last edited:

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