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Strain hardening exponent Formula

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Strain hardening exponent (n) in power law, which approximates the region of the true stress–strain curve from the onset of plastic deformation to the point at which necking begins. Check FAQs

n = \frac{\ln (σ T) - \ln (K)}{\ln (ϵ T)}

n - Strain hardening exponent?σ_T - True stress?K - K value?ϵ_T - True strain?

Strain hardening exponent Example

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Here is how the Strain hardening exponent equation looks like with Values.

Here is how the Strain hardening exponent equation looks like with Units.

Here is how the Strain hardening exponent equation looks like.

0.8891 = \frac{\ln (10) - \ln (600)}{\ln (0.01)}

0.8891 = \frac{\ln (10MPa) - \ln (600MPa)}{\ln (0.01)}

0.8891 = \frac{\ln (10) - \ln (600)}{\ln (0.01)}

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Strain hardening exponent Solution

Follow our step by step solution on how to calculate Strain hardening exponent?

FIRST Step Consider the formula

n = \frac{\ln (σ T) - \ln (K)}{\ln (ϵ T)}

Next Step Substitute values of Variables

∴

n = \frac{\ln (10MPa) - \ln (600MPa)}{\ln (0.01)}

Next Step Convert Units

∴

n = \frac{\ln (1E+7Pa) - \ln (6E+8Pa)}{\ln (0.01)}

Next Step Prepare to Evaluate

∴

n = \frac{\ln (1E+7) - \ln (6E+8)}{\ln (0.01)}

Next Step Evaluate

∴

n = 0.889075625191822

LAST Step Rounding Answer

∴

n = 0.8891

Strain hardening exponent Formula Elements

Variables

Functions

Strain hardening exponent

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

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Strain hardening exponent

True stress

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

Symbol: σ_T

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find True stress

K value

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

Symbol: K

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find K value

True strain

True strain is the instantaneous elongation per unit length.

Symbol: ϵ_T

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find True strain

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Stress and Strain category

Go Engineering stress

σ = \frac{W load}{A 0}

Go Engineering strain

𝜀 = \frac{l i - L 0}{L 0}

Go True strain

ϵ T = \ln (\frac{l i}{L 0})

Go True stress

σ T = σ \cdot (1 + 𝜀)

How to Evaluate Strain hardening exponent?

Strain hardening exponent evaluator uses Strain hardening exponent = (ln(True stress)-ln(K value))/ln(True strain) to evaluate the Strain hardening exponent, Strain hardening exponent in power law which approximates the region of the true stress–strain curve from the onset of plastic deformation to the point at which necking begins. Strain hardening exponent is denoted by n symbol.

How to evaluate Strain hardening exponent using this online evaluator? To use this online evaluator for Strain hardening exponent, enter True stress (σ_T), K value (K) & True strain (ϵ_T) and hit the calculate button.

FAQs on Strain hardening exponent

What is the formula to find Strain hardening exponent?

The formula of Strain hardening exponent is expressed as Strain hardening exponent = (ln(True stress)-ln(K value))/ln(True strain). Here is an example- 0.889076 = (ln(10000000)-ln(600000000))/ln(0.01).

How to calculate Strain hardening exponent?

With True stress (σ_T), K value (K) & True strain (ϵ_T) we can find Strain hardening exponent using the formula - Strain hardening exponent = (ln(True stress)-ln(K value))/ln(True strain). This formula also uses Natural Logarithm (ln) function(s).

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Strain hardening exponent Formula

Strain hardening exponent Example

Strain hardening exponent Solution

Strain hardening exponent Formula Elements

Other formulas in Stress and Strain category

How to Evaluate Strain hardening exponent?

FAQs on Strain hardening exponent

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