E1, E2, E3 |
Modulus of elasticity in the x, y, z directions respectively (x is the length direction of tow, y is the width direction of tow, z is the vertical direction), MPa or GPa. |
v12, v13, v23 |
Poisson’s ratio in different planes (xy, xz, and yz planes, respectively). |
G12, G13, G13 |
Shear modulus in different planes (xy, xz, and yz planes, respectively), MPa or GPa |
εi |
Strain component, i = 1, 2, 6 |
Cijkl |
Stiffness coefficient, i, j, k, l = 1, 2, 6 |
σi |
Stress component, i = 1, 2, 6, Pa |
Cij,Cijk,Cijkl
|
Stiffness tensors, i, j, k, l = 1, 2, 6 |
dU |
Internal energy increment, J |
uo |
Strain energy density, J/m2
|
V |
Volume of meso-unit, μm3
|
Q(U) |
Total strain energy, J |
Um |
The internal energy of a certain meso-unit, J |
Vm |
The volume of a certain meso-unit, μm3
|
κ1
|
The energy scaling of macro–meso |
κ2
|
The energy scaling of meso–micro |
Uc |
The accumulated internal energy in No.C meso-unit, J |
Uʹc |
The energy of a certain micro-system within No.C meso-unit, J |
Vc |
The volume of No.C meso-unit, μm3
|
Vʹc |
The volume of a certain micro-system within No.C meso-unit, nm3
|
S0
|
The entropy value of the initial state within micro-system, J/K |
St |
The entropy value of the equilibrium state at time of t, J/K |
T |
The temperature of the external heat source, K |
dQ |
The heat energy absorbed by the system when it comes into contact with a heat source with a temperature of T, J |
Ω |
The number of micro-states |
q |
The sum of effective quantum states |
ξ |
h/2π
|
h |
Planck’s constant |
k |
Boltzmann’s constant |
w |
The vibration frequency of particle swarm, Hz |
ωL |
The vibration frequency of particle in the space of L, Hz |
g(ω) |
The distributionfunction of ω
|
p |
The pressureofthe micro-system, MPa |
N |
The number of particles in the micro-system |
D |
Diffusion coefficient |
r(t) |
The atomic position in the moment of t |
r(0) |
The original position of atom, m2/s |
Einteraction
|
Adsorption energy, J |
Etotal
|
Total energy of micro-system, J |
Esurface
|
Energy of fiber layer, J |
Epolymer
|
Energy of matrix layer, J |