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How to calculate Tangent modulus?

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DDM84

Automotive
Oct 13, 2011
16
GB
Hello guys,

Is there any specific formula to calculate Tangent modulus? I need this value in material card which I am using for crash analysis. Your guidance will be much appreciated.

Thanks
 
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i'd've thought that Ramberg-Osgood parameters should get you there
 
@ rb1957 Many thanks for reply

I got yield stress, youngs modulus in linear region, ultimate tensile strength.
In order to use Ramberg-Osgood equation I will need K & n value which I dont have.
 
If you know the elongation to fracture, you can calculate the tangent modulus (under the assumption of a bilinear model).

Beyond that, there is no such thing as "calculating" a material property. It is a measured property (test data).

Brian
 
do you want an equation for tangent modulus with respect to stress (or strain) ? or a single value ?

if you're doing crash analysis i guess you're trying to capture plasticity effects. a cheap and dirty answer would be (ult. stress- yield stress)/(ult strain-yield strain)
 
The tangent Modulus is just that - the tangent of the stress-strain curve at any particular point. If you have a stress-strain curve, then you can calculate the tangent modulus either symbolically, if you have a formula (derivatives, calculus-type stuff), or numerically (delta stress / delta strain).

Don't over-think this. Draw the stress-strain curve out. draw your tangent modulus lines. Should be easy...
 
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