Plastic Deformation: Power Law & Strain Hardening Exponents

In summary, plastic deformation is the permanent change in shape or size of a material when subjected to stress beyond its elastic limit. The power law in plastic deformation describes the relationship between stress and strain, expressed as σ = Kε^n. The strain hardening exponent is a measure of a material's resistance to deformation, and is determined through experiments or mathematical modeling. It can be influenced by factors such as material type, microstructure, deformation rate, temperature, and impurities or defects.
  • #1
huran
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Is there any relation between power law exponent of of P-h curve and strain hardening exponent of stress-strain curve?
 
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  • #2
No, there is no direct relation between the power law exponent of a P-h curve and the strain hardening exponent of a stress-strain curve. The power law exponent of a P-h curve describes the rate of deformation in a material under cyclic loading, while the strain hardening exponent of a stress-strain curve describes the rate at which the material becomes more difficult to deform as it is loaded.
 

1. What is plastic deformation?

Plastic deformation is a type of permanent deformation that occurs in materials when they are subjected to stress beyond their elastic limit. This results in a change in the shape or size of the material, without the ability to return to its original state.

2. What is the power law in plastic deformation?

The power law is a mathematical relationship that describes the relationship between the stress and strain in a material undergoing plastic deformation. It is expressed as σ = Kε^n, where σ is the stress, ε is the strain, K is a material constant, and n is the strain hardening exponent.

3. What is the strain hardening exponent?

The strain hardening exponent is a measure of the extent to which a material hardens as it is deformed. It is a material property that varies depending on the type of material and the conditions of deformation. A higher strain hardening exponent indicates a material that becomes stronger and more resistant to deformation as it is strained.

4. How is the strain hardening exponent determined?

The strain hardening exponent can be determined experimentally by plotting the stress-strain curve of a material undergoing plastic deformation and calculating the slope of the curve in the plastic region. It can also be determined through mathematical modeling and simulation techniques.

5. What factors affect the strain hardening exponent?

The strain hardening exponent can be affected by various factors such as the type of material, its microstructure, the rate of deformation, the temperature, and the presence of impurities or defects. Additionally, the strain hardening exponent may also change as the material undergoes further plastic deformation.

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