How do you solve equations with multiple variables?

I have a list of variables. Then, I have equations that I would like to solve with said variables. How would I go about this?

Appreciate the help,

Ilan

%List of Variables

E1f = 233

v12f = 0.200

E2f = 23.1

G12f = 8.96

a1f = -0.540*10^-6

a2f = 10.10*10^-6

Em = 4.62

am = 41.4 * 10^-6

vm = 0.360

Vf = 0.2




%Equations I would like to solve with the above variables

E1c = [E1f * v12f + Em(1 - v12f)]

v12c = v12f * Vf + vm(1 - Vf)

E2c = [(1 - sqrt(Vf)) / (Em)] + [(sqrt(Vf)) / (E2f * sqrt(Vf) + (1 - sqrt(Vf)) * Em)]

%G12c = Gm * [((Gm + G12f) - Vf*(Gm - G12f)) / ((Gm + G12f) + Vf * (Gm - G12f))]

%a1c = [E1f * a1f * Vf + Em * am(1 - Vf)] / [E1f * Vf + E1m(1 - Vf)]

a2c = [a2f - (Em / E1c) * v12f * (am - a1f) * (1 - Vf)] * Vf + [am + (E1f / E1c) * vm * (am - a1f) * Vf] * (1 - Vf)

Answer 1

[Sam Chak]

Hi @Ilan, some multiplication operators (*) are missing. It is working now.

% List of Parameters
E1f  = 233;
v12f = 0.200;
E2f  = 23.1;
G12f = 8.96;
a1f  = -0.540e-6;
a2f  = 10.10e-6;
Em   = 4.62;
am   = 41.4e-6;
vm   = 0.360;
Vf   = 0.2;

% Equations I would like to 'obtain' with the above 'parameters'
E1c  = E1f*v12f + Em*(1 - v12f)

E1c = 50.2960

v12c = v12f*Vf + vm*(1 - Vf)

v12c = 0.3280

E2c  = (1 - sqrt(Vf))/Em + sqrt(Vf)/(E2f*sqrt(Vf) + (1 - sqrt(Vf))*Em)

E2c = 0.1544

a2c  = (a2f - (Em/E1c)*v12f*(am - a1f)*(1 - Vf))*Vf + (am + (E1f/E1c)*vm*(am - a1f)*Vf)*(1 - Vf)

a2c = 4.6208e-05