Dj. Lacks et Gc. Rutledge, SIMULATION OF THE TEMPERATURE-DEPENDENCE OF MECHANICAL-PROPERTIES OF POLYETHYLENE, Journal of physical chemistry, 98(4), 1994, pp. 1222-1231
Simulations of crystalline polyethylene at finite temperature are carr
ied out using a molecular mechanics force field for the interatomic po
tential and quasi-harmonic lattice dynamics for the vibrational free e
nergy. The thermal expansion coefficient, determined by direct minimiz
ation of the free energy, is in excellent agreement with experimental
results for temperatures up to 250 K and remains in reasonable agreeme
nt with experiment throughout the range of temperatures for which expe
rimental results exist. The axial Young modulus at 300 K is found to b
e 280 GPa, which agrees with the results of Raman scattering experimen
ts with corrections for the effects of interlamellar coupling. The nu(
ac) and nu(bc) Poisson ratios are found to increase substantially with
temperature, whereas the nu(ab) and nu(bc) Poisson ratios are relativ
ely temperature independent. The Gruneisen parameter is calculated as
a function of temperature and is in agreement with the experimental va
lues. The results of calculations using classical mechanics and quantu
m mechanics for the vibrational energy are compared to assess the impo
rtance of quantum effects as a function of temperature. Quantum effect
s are largest for the c-axis thermal expansion coefficient, which is i
n error by a factor of 2 at room temperature when classical mechanics
is used.