To determine the Young's modulus, shear modulus, and Poisson's ratio of your new composite fiber, you can perform mechanical testing. Some common tests for this purpose include tensile testing, compression testing, and three-point bending testing.
Tensile Testing: The tensile test is a common method to measure the Young's modulus. You need to apply an axial tensile load to the sample and measure its change in length. The Young's modulus can then be calculated from the stress and strain relationship.
Compression Testing: Compression testing can measure the shear modulus of the composite fiber. In this test, a compressive load is applied to the sample and the change in its dimensions is measured. The shear modulus can then be calculated from the stress and strain relationship.
Three-point Bending Testing: Three-point bending testing is another common method to measure the Young's modulus, shear modulus, and Poisson's ratio. A three-point bend test applies a bending load to a rectangular sample, causing it to deform in both the longitudinal and transverse directions. The Young's modulus and shear modulus can be calculated from the resulting stress and strain relationships. Poisson's ratio can be calculated from the ratio of the transverse strain to the longitudinal strain.
These tests can be conducted in accordance with standard test methods such as ASTM or ISO. You should also carefully consider the sample preparation, loading conditions, and data analysis procedures to ensure accurate results.