I just received a reply from the programmer. Below is the formula which the programmer use to calculate Xt and Xc,
// Xt (fabs is the absolute value function)
if(fabs(Xtf/E1f) < fabs(Xtm/Em)) Xt = Xtf*Vf + Em*Xtf*Vm/E1f;
else Xt = Xtf*Vf; // assume the fibers alone carry the load...
RPstress, thanks for your helpful information.
Darin, the Xtmfs equation that you provided didn't come out right. Below is the input values:
E1f=12
E2f=55
Em=100
Xtf=99
Xcf=85
Xtm=86
Xcm=45
Vf=0.6
I think these are all the variables for calculating Xt and Xc. The value of Xt and Xc come out...
Darin,
Thanks for your ideas. I guess the equation that you provided above ( Xt=Vf*Xtf+(1-Vf)*Xtmfs )is correct as like what the programmer said, we have to use rules of mixture. However, I wonder if you know the way to calculate "Xtmfs" by using the variables which listed in my previous mail...
First of all, thank you all the people who have provided their opinions and ideas on this forum.
Hansmeister: Yes, I was thinking of Chamis equation as well. I am still trying to find the paper you were talking about. And yes,it's deal with "MICROMECHANICS".
SkyD: Thank you for your long...
I read an article which stated that "Glass content: 40%". Does it mean that the fiber volume fraction (Vf) of that material is 0.4? or it means weight fraction (wf)?
Thanks.
These are the property that I input into the program,
Fiber property:
E1f
E2f
G12f
v12f
Xtf (fiber tensile strength)
Xcf (fiber compressive strength)
Sf (Shear Strength)
Vf (volume fraction)
Matrix property:
Em
Gm
vm (poisson)
Xtm (matrix tensile strength)
Xcm (matrix compressive...
More information, I asked the programmer and he said it has to deal with 'Rule of Mixtures'. It's limited by the lower of the failure strains of the fiber or matrix. I have searched through some books and websites but still couldn't get the formulas for Xt, and Xc.
Please advise.
The fiber and matrix are defined. The values of E1f, E2f, Xtf,Xcf,Vf etc are provided, but NOT the values for stress and strain, which means is it possible to solve Xt and Xc without knowing the stress and strain of the fiber/matrix?
Thanks.
Hi all,
Does anybody know the equations to calculate Xt (fiber direction tensile strength) and Xc(fiber direction compressive strength)if stress and strain of the fibers and matrix are not provideed?
Your help is much appreciated. Thanks.