Natural rubber is tested in tension to a maximum extension ratio of λ = 3. The Mooney-Rivlin constants for this material are found to be C1 = 0.069 MPa and C2 = 0.125 MPa. Plot the corresponding uniaxial stress vs. extension ratio behavior over the tested range. Derive an expression for the slope of the function, then determine the secant and tangent moduli at 100% strain.

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A: Basics of Stress-strain diagram.

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Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.