If stress is given by equation 1 which implies that stress

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The discussion centers on the apparent contradiction between two equations for stress: one suggesting it is independent of material properties and the other indicating it is material-dependent. It is clarified that the presence of different variables in equations does not inherently imply dependence, using the example of a simple mathematical equation. The relationship between stress and strain is established as being material-dependent when strain is treated as a known function. Thus, while the equations may seem contradictory at first glance, they can coexist when properly understood in context. The nuances of material properties play a crucial role in defining stress and strain relationships.
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Homework Statement


If stress is given by equation 1 which implies that stress is independent of material and the 2nd equation implies it depends on the material. Inst it a contradiction?

Homework Equations


Normal stress is given by \sigma=f/A (1)
and \sigma=E\epsilon (2)




The Attempt at a Solution

 
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Appearance (or lack of appearance) in the same equation doesn't imply dependence. The equation 2=xy, for example, doesn't imply that the value 2 depends on the value of x.

If strain (stress) is a known function, the associated stress (strain) is material dependent.
 

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