Calculate Young's modulus and Poisson's ratio

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SUMMARY

This discussion focuses on calculating Young's modulus and Poisson's ratio for a purely elastic material, specifically a cylindrical specimen with strain gauges oriented at 45°. The user has already computed the circumferential and longitudinal constraints and established the Cauchy stress tensor in its principal basis. To derive Young's modulus and Poisson's ratio, the user must utilize the previously calculated constraints and strain tensors, applying the relationships defined in elasticity theory.

PREREQUISITES
  • Understanding of elasticity theory and material properties
  • Familiarity with Cauchy stress tensor and strain tensor concepts
  • Knowledge of strain gauge applications and measurements
  • Ability to perform calculations involving circumferential and longitudinal constraints
NEXT STEPS
  • Study the relationship between stress and strain in elastic materials
  • Learn how to derive Young's modulus from experimental data
  • Research methods for calculating Poisson's ratio using strain measurements
  • Explore the use of strain gauges in experimental mechanics
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Mechanical engineers, materials scientists, and students studying material mechanics who are interested in understanding the properties of elastic materials and their measurement techniques.

zDrajCa
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Hi,

I was looking some exercices on internet about the poisson's ratio. I have just one question.

How can i calculate the young's modulus and poisson's ratio when i know that a material is purely elastical.

I calculate circonferential et longitudinal contraints and i have write the cauchy stress tensor in his principal base.

Moreover, strain gauge (45°) are put on the material which is a cylinder. And i have calculate the strain tensor in an other base and in the principal base but i don't know how to calculte this two parameters.

Thanks,
 
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These are material parameters. If you know the material, you look them up.
If not. you can set up an experiment to measure them. Which situation do you have in mind?
 
yes i know that i can have it in table already write. But in the exercise. They are these question : " calculate the young's modulus and poisson's ratio: we know that the material is purely elastical".

I think i have to use the answers of the previous questions which were : " calculate the circonferential and longitudinal contraints" and " write the cauchy stress tensor in his principal base" Moreover, we knew that a strain gauge (45°) was put on the cylinder which is stutied. And an other question was " calculate and write the strain tensor in the base a base (0,r,l,c) and in his principale base".
 

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