MatthewMansfield
Civil/Environmental
- Aug 11, 2012
- 47
Hello all
I was hoping someone could help me understand the Modulus of Toughness for a timber compression experiment I did.
I tested a 45mm x 45mm x 45mmm timber cube under compressive load.
The load was applied over a cross sectional area of 45 * 45 = 2025mm^2
My stress strain curve is represented by a straight line function:-
Stress = 8.8771 * Strain
The area under my curve denotes the modulus of toughness which is the amount of energy the material can absorb per unit volume.
If I integrate my stress equation I get:-
Toughness = 4.43855ε2.
Integrate from 0 to 7.867 (which is the strain value of my material at failure) I get a value of approx 275.
If my units were:-
Stress = N/mm^2
Strain = %
Area = mm2
Then what units would my Toughness value be?
Also how is the volume factored into this, as I don't use the volume in any of the equations?
Can anyone shed any light?
Thank you.
I was hoping someone could help me understand the Modulus of Toughness for a timber compression experiment I did.
I tested a 45mm x 45mm x 45mmm timber cube under compressive load.
The load was applied over a cross sectional area of 45 * 45 = 2025mm^2
My stress strain curve is represented by a straight line function:-
Stress = 8.8771 * Strain
The area under my curve denotes the modulus of toughness which is the amount of energy the material can absorb per unit volume.
If I integrate my stress equation I get:-
Toughness = 4.43855ε2.
Integrate from 0 to 7.867 (which is the strain value of my material at failure) I get a value of approx 275.
If my units were:-
Stress = N/mm^2
Strain = %
Area = mm2
Then what units would my Toughness value be?
Also how is the volume factored into this, as I don't use the volume in any of the equations?
Can anyone shed any light?
Thank you.