Hi,
I designed several lattice structures. Top and bottom surfaces of the lattice are solid (0.5 mm in thickness). Those surfaces are 20 mm X 20 mm. I conducted linear finite element analysis with a range of loads. I have measured the displacement for each load. But if I want to calculate the Young's Modulus for my lattice structures, then the calculated value if too small. I am sure there is something incorrect.
Young's Modulus was calculated by:
Stress = Load/ area= 60000 N/400 mm=150 N/m2.
Strain = displacement /length= 8.079488 mm/20 mm = 0.404
Young's Modulus = Stress/ strain = 150/0.404 = 371.29 MPa = 0.37129 GPa
Please does this correct?
Another question. If I divide Load/ displacement (N/mm). Then is this Young's Modulus?
Regards
Hi Omar,
Sigfrid-Laurin Sindinger has already drawn your attention to some major points. Nevertheless in general the young´s modulus can be calculated for the homogeneous isotropic material in the following manner:
Young´s modulus = force * initial length/(area * displacement).
Since you assume that your calculated values are wrong, I have recalculated them. Attached you find a "micro" MATLAB script - despite wrong units in your calculation, the result of about 371 MPa is correct.
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