Questions about elasticity (moved)

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This discussion centers on the fundamental relationship between stress and strain in the context of elasticity, specifically referencing Hooke's Law (f=ks) and tensor expressions. Participants debate whether stress or strain is the more fundamental physical quantity for deformable materials, highlighting the potential circular reasoning in this argument. Additionally, the discussion draws parallels to Newton's second law (F=ma) to further explore the nature of these relationships in physics.

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  • Understanding of Hooke's Law and its applications in material science.
  • Familiarity with tensor notation and its relevance in physics.
  • Basic knowledge of stress and strain concepts in mechanics.
  • Comprehension of Newton's laws of motion, particularly F=ma.
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  • Explore advanced tensor calculus applications in elasticity theory.
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Students and professionals in physics, materials science, and engineering who are interested in the principles of elasticity and the mathematical frameworks that describe material behavior under stress and strain.

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The following was "split-off" from https://www.physicsforums.com/showthread.php?t=171079

uiulic said:
Mr Hillman,

I have the following questions that have puzzled me and seek to get some release here.

1 stress vs strain (e.g. Hooker's elastic spring law f=ks, or in tensor expressions),
which is a more fundmental physical quantity ? (they are not fundmental in physics I know, but seem yes for deformable materials) Is this only a circular argument?


2 Is the first question similar to F=ma (the relation between F and a)?
 
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