From a tension test, the experimental data (true strain – true stress) are: True Strain True Stress (MPa) 0.01 69.0 0.03 119.5 0.06 169.0 0.1 218.2 0.15 267.2 0.2 308.6 0.25 345.0 0.3 378.0 0.35 408.2 0.4 436.4 0.45 462.9 0.5 488.0 0.8 617.0 Define the Strength coefficient (K) and strain hardening exponent (n) representing a power law true stress/strain curve (σ=KƐ n )

we have to calculate the strength coefficient (K) and strain hardening exponent (n) representing a power law true stress/strain curve (σ=Kɛⁿ).To determine the strength coefficient (K), we have to take the antilogarithm of the intercept of the fitted curve (log σ = n log ɛ + log K) of a true stress-true strain curve, which is obtained from the plotted data.

The strain hardening exponent (n) is the slope of the fitted curve log σ = n log ɛ + log K. In other words, it is the slope of the graph plotted between the true stress (σ) and the true strain (ɛ) taken in logarithmic scales.Using the experimental data above, we can calculate the strength coefficient (K) and strain hardening exponent (n) as follows:It can be seen that the slope of the graph plotted between the true stress (σ) and the true strain (ɛ) is given by the slope of the line joining the points on the curve. Using two points (0.06, 169) and (0.5, 488), we can obtain the slope:Thus, the strain hardening exponent (n) is 0.44 (approximately).

The strength coefficient (K) is calculated as the antilogarithm of the y-intercept of the straight line.Using the values of n and intercept from above, we have:K = 69.0/0.06⁰.⁵⁷= 408.74Thus, the strength coefficient (K) and strain hardening exponent (n) representing a power law true stress/strain curve (σ=Kɛⁿ) are approximately 408.74 MPa and 0.44 respectively.

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