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. 2017 Sep 3;10(9):1024. doi: 10.3390/ma10091024
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
c The energy of a certain micro-system within No.C meso-unit, J
Vc The volume of No.C meso-unit, μm3
c 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