Attached figure is Force vs Elongation curve of Rubber. Please guide how to calculate young modulus incase of rubber?
In some paper modulus at 200% and modulus at 300% is reported without dividing stress with area and elongation.
Dear Hassan Iftekhar, please follow the attached ASTM Standard procedure, you may search for any recent update or similar standard. My Regards
Dear Hassan Iftekhar,
first of all I would recommend you to label your y-axis as "Stress", it is not a deep mistake but it is better to label it like that.
I would recommend to calculate Young Modulus of rubber as follows:
1) Assume a Stress-strain model that you feel comfortable with, I recommend non-affine tube model for unfilled samples.
2) Obtain shear moduli Gc and Ge or the shear moduli that your selected model provides.
3) Use the relationship E = 3 (Gc + Ge) to obtain Young Modulus as a function of the Shear moduli that define network structure for your model (Mooney-Rivlin also is valid and its parameters are C1 and C2, you should just replace Gc and Ge with those parameters).
That formula takes into account Poisson tensor, which relates shear and uniaxial parameters.
Usually the modulus at 200% or 300% is just the reading of the stress-strain curve so I would recommend to follow the procedure I described above.
Best regards,
Fernando.
Dear Hassan Iftekhar,
I will answer you on the second part of your question. Modulus 200% or 300% or sometimes also 100% or 500% are rubber modulus. It is called modulus, but it is not Young modulus. These modulus are used in rubber industry and they express stress at given elongation (200 %, 300 %, ...).
- Badges
- Science topic
- Similar topics
- Engineering
- Materials Engineering
- Powders