Strain Hardening Exponent Calculator

Formula

The formula to calculate the Strain Hardening Exponent (n) is:

\[ n = \frac{\ln(\sigma_T) - \ln(K)}{\ln(\epsilon_T)} \]

Where:

\(n\) is the Strain Hardening Exponent.
\(\sigma_T\) is the True Stress (measured in Pascals).
\(K\) is the K Value (measured in Pascals).
\(\epsilon_T\) is the True Strain.

Definition

The Strain Hardening Exponent (n) in power law approximates the region of the true stress–strain curve from the onset of plastic deformation to the point at which necking begins.

True Stress is defined as the load divided by the instantaneous cross-sectional area.

K Value in power law approximates the region of the true stress–strain curve from the onset of plastic deformation to the point at which necking begins.

True Strain is the instantaneous elongation per unit length.

How to calculate Strain Hardening Exponent

Let's assume the following values:

True Stress (σT) = 10,000,000 Pascals
K Value (K) = 600,000,000 Pascals
True Strain (εT) = 0.01

Using the formula:

\[ n = \frac{\ln(10,000,000) - \ln(600,000,000)}{\ln(0.01)} \]

Evaluating:

\[ n \approx 0.889075625191822 \]

The Strain Hardening Exponent is approximately 0.889075625191822.

Conversion Chart

True Stress (σT) (Pa)	K Value (K) (Pa)	True Strain (εT)	Strain Hardening Exponent (n)
10000000	600000000	0.01	0.889075625192
10000000	600000000	0.02	1.046605440853
10000000	600000000	0.03	1.167624970730
10000000	700000000	0.01	0.922549020007
10000000	700000000	0.02	1.086009779634
10000000	700000000	0.03	1.211585653640
10000000	800000000	0.01	0.951544993496
10000000	800000000	0.02	1.120143370474
10000000	800000000	0.03	1.249666129290
20000000	600000000	0.01	0.738560627360
20000000	600000000	0.02	0.869421620717
20000000	600000000	0.03	0.969953293588
20000000	700000000	0.01	0.772034022175
20000000	700000000	0.02	0.908825959499
20000000	700000000	0.03	1.013913976497
20000000	800000000	0.01	0.801029995664
20000000	800000000	0.02	0.942959550339
20000000	800000000	0.03	1.051994452147
30000000	600000000	0.01	0.650514997832
30000000	600000000	0.02	0.765775730203
30000000	600000000	0.03	0.854322775005
30000000	700000000	0.01	0.683988392647
30000000	700000000	0.02	0.805180068985
30000000	700000000	0.03	0.898283457914
30000000	800000000	0.01	0.712984366136
30000000	800000000	0.02	0.839313659825
30000000	800000000	0.03	0.936363933564