| CALC : Material : Stress 022 : Ramberg Osgood : Alpha And N Coefficients And Engineering Stress From Engineering Strain : Calculator
Description : Calculate alpha, N and the engineering stress from engineering strain using the Ramberg Osgood relationship.
Discussion : Calculates the Ramberg Osgood alpha coefficient and N exponent from the yield stress and strain, and the tensile stress and strain values. The RambergOsgood() function calculates the Engineering stress from the strain. To check that the function has worked correctly, make sure that the check strain is equal to the input strain value.
Calculation Steps :
- Ramberg Osgood coefficients
- Engineering stress
- Elastic and plastic strain components
- True stress and strain
Input Variables :
- ε = Engineering Strain
- εu = Engineering Tensile Strain
- εy = Engineering Yield Strain
- σu = Engineering Tensile Stress
- σy = Engineering Yield Stress
- E = Material Youngs Modulus E
Output Variables :
- α = Ramberg Osgood Alpha Coefficient
- εe = Engineering Elastic Strain
- εk = Engineering Check Strain
- εp = Engineering Plastic Strain
- εt = True Strain
- σd = Engineering Stress
- σt = True Stress
- N = Ramberg Osgood N Exponent
Calculation :
α = ( E εy ) / σy - 1
N = log( ( ( E εu ) / σu - 1 ) 1 / α ) / log( σu / σy ) + 1
σd = RambergOsgood( ε , α , N )
εk = σd / E ( 1 + α ( σd / σy )( N - 1 ) )
εe = σd / E
εp = σd / E α ( σd / σy )( N - 1 )
σt = σd ( 1 + ε )
εt = log( 1 + ε )
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