Elastic modulus or Young's modulus

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SUMMARY

The discussion centers on the concept of Elastic Modulus, specifically Young's Modulus, and its behavior during tensile and bending tests. The formulas provided for calculating Elastic Modulus are E = L*F / A*ΔL for tensile tests and E = F*L^3 / 4*w*t^3*D for bending tests. It is established that Elastic Modulus is an inherent property of metals, remaining constant regardless of specimen size or applied force, due to the isotropic nature of metallic bonds. The discussion concludes that while Elastic Modulus is independent of geometry, properties beyond the elastic limit can vary based on factors like grain size and microstructure.

PREREQUISITES
  • Understanding of tensile testing and bending testing methodologies
  • Familiarity with Hooke's Law and its applications
  • Knowledge of material properties, particularly in metals
  • Basic grasp of mechanical properties and stress-strain relationships
NEXT STEPS
  • Research the derivation and applications of Young's Modulus in material science
  • Explore the effects of grain size and microstructure on material properties
  • Learn about the differences between isotropic and anisotropic materials
  • Investigate advanced testing methods for determining Elastic Modulus
USEFUL FOR

Materials scientists, mechanical engineers, and students studying material properties will benefit from this discussion, particularly those focused on understanding the fundamental characteristics of metals and their mechanical behavior under stress.

iliad
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I have a question

Elastic modulus in Tensile test
E = L*F / A*△L


Elastic modulus in bending test
E = F*L^3 / 4*w*t^3*D


I think Elastic modulus is changed by size of specimen.

I don't know why Elastic modulus is inherent propertie of metal??
 
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Elastic modulus is actually the elastic strain borne the atomic bonds. Since bonds in metals (metallic bonds) are isotropic (uniform) therefore elastic modulus remains the same regardless of the size of the object. Properties beyond the elastic limit however are transitive depending on different factors like grain size, microstructure constituents etc.
 
If you were to actually do a tension test for a particular material that obeys Hooke's Law, and then plug in the ΔL measured, experimentally, into your first formula -- you would find that "E" is constant. In other words, "E" is independent of your applied force, F, as well as the dimensions of your specimen: L and A. "E" can therefore be said to be a property of material only (not geometry!).

Similarly, if you were to do a three point bend test for that same material, and then plug in the deflection (D) measured, experimentally, into your second formula -- you would find that "E" is the same as before. "E" is again independent of the applied force, F, as well as the dimensions of your beam specimen: L, w, and t.
iliad said:
I think Elastic modulus is changed by size of specimen.

Nope.
iliad said:
I don't know why Elastic modulus is inherent property of metal??

What MalliCk said.Hope that helps..
 
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