| 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 |