Strain hardening exponent Calculator

✖True stress is defined as the load divided by the instantaneous cross-sectional area.ⓘ True stress [σ_T]			+10% -10%
✖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.ⓘ K value [K]			+10% -10%
✖True strain is the instantaneous elongation per unit length.ⓘ True strain [ϵ_T]			+10% -10%

✖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.ⓘ Strain hardening exponent [n]

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Formula

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Strain hardening exponent

Formula

`"n" = (ln("σ"_{"T"})-ln("K"))/ln("ϵ"_{"T"})`

Example

`"0.889076"=(ln("10MPa")-ln("600MPa"))/ln("0.01")`

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Strain hardening exponent Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain hardening exponent = (ln(True stress)-ln(K value))/ln(True strain)
n = (ln(σ_T)-ln(K))/ln(ϵ_T)
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

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.
True stress - (Measured in Pascal) - True stress is defined as the load divided by the instantaneous cross-sectional area.
K value - (Measured in Pascal) - 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.
True strain - True strain is the instantaneous elongation per unit length.

STEP 1: Convert Input(s) to Base Unit

True stress: 10 Megapascal --> 10000000 Pascal (Check conversion here)
K value: 600 Megapascal --> 600000000 Pascal (Check conversion here)
True strain: 0.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = (ln(σ_T)-ln(K))/ln(ϵ_T) --> (ln(10000000)-ln(600000000))/ln(0.01)

Evaluating ... ...

n = 0.889075625191822

STEP 3: Convert Result to Output's Unit

0.889075625191822 --> No Conversion Required

FINAL ANSWER

0.889075625191822 ≈ 0.889076 <-- Strain hardening exponent

(Calculation completed in 00.004 seconds)

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Created by Hariharan V S

Indian Institute of Technology (IIT), Chennai

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< 10+ Stress and Strain Calculators

Strain hardening exponent

Go Strain hardening exponent = (ln(True stress)-ln(K value))/ln(True strain)

Resolved shear stress

Go Resolved shear stress = Applied stress*cos(Slip plane angle)*cos(Slip direction angle)

Engineering strain

Go Engineering strain = (Instantaneous length-Initial Length)/Initial Length

True strain

Go True strain = ln(Instantaneous length/Initial Length)

Maximum Shear Stress from Tresca Criterion

Go Maximum Shear Stress = (Largest principal stress-Smallest principal stress)/2

True stress

Go True stress = Engineering stress*(1+Engineering strain)

Engineering stress

Go Engineering stress = Load/Cross-sectional Area

Safe stress

Go Safe Stress = Yield Strength/Factor of Safety

True strain from Engineering strain

Go True strain = ln(1+Engineering strain)

Maximum Shear Stress from Von Mises Criterion

Go Maximum Shear Stress = 0.577*Yield Strength

Strain hardening exponent Formula

Strain hardening exponent = (ln(True stress)-ln(K value))/ln(True strain)
n = (ln(σ_T)-ln(K))/ln(ϵ_T)

Constants in power law

K and n constant values will vary from alloy to alloy and will also depend on the condition of the material (i.e., whether it has been plastically deformed, heat treated, etc.).The strain hardening exponent has a value less than unity. For annealed copper, K=530 MPa and n=0.44.

How to Calculate Strain hardening exponent?

Strain hardening exponent calculator uses Strain hardening exponent = (ln(True stress)-ln(K value))/ln(True strain) to calculate 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 calculate Strain hardening exponent using this online calculator? To use this online calculator for Strain hardening exponent, enter True stress (σ_T), K value (K) & True strain (ϵ_T) and hit the calculate button. Here is how the Strain hardening exponent calculation can be explained with given input values -> 0.889076 = (ln(10000000)-ln(600000000))/ln(0.01).

FAQ

What is 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 and is represented as n = (ln(σ_T)-ln(K))/ln(ϵ_T) or Strain hardening exponent = (ln(True stress)-ln(K value))/ln(True strain). True stress is defined as the load divided by the instantaneous cross-sectional area, 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 & True strain is the instantaneous elongation per unit length.

How to calculate 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 is calculated using Strain hardening exponent = (ln(True stress)-ln(K value))/ln(True strain). To calculate Strain hardening exponent, you need True stress (σ_T), K value (K) & True strain (ϵ_T). With our tool, you need to enter the respective value for True stress, K value & True strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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