We describe a method for determining the thermal and elastic properties of the noncrystalline phase of semicrystalline polymers (the "interphase") by Monte Carlo simulations. The method is applied to an interphase composed of freely rotating polyethylene-like chains, studied previously by Balijepalli and Rutledge (J. Chem. Phys. 1998, 109, 6523). The isochoric and isobaric heat capacities, Gru ¨neisen coefficients, thermal expansion coefficients, and elastic stiffnesses are reported. The interphase exhibits material properties comparable to that of the corresponding melt, with significant contributions of both enthalpic and entropic origins. Through judicious selection of Monte Carlo moves, we approximate the rate sensitivity of the stiffness normal to the crystal surface, C 33, on time scales that are long and short, respectively, relative to the characteristic time scale of the crystalline Rc relaxation.
We present the first theoretical estimates for thermoelastic properties of the noncrystalline domain (the "interlamellar phase") of semicrystalline polyethylene obtained by Monte Carlo simulations. The interlamellar phase is prescribed to be thermodynamically metastable, with the constraints that it have an average density less than that of the crystal and that it be bounded by two static crystalline lamellae oriented with the {201} crystal plane parallel to the interface. Polyethylene was modeled using a realistic united atom force field with inclusion of torsional contributions, and the results are compared to those of prior studies that used a freely rotating chain model. Parallel tempering between 350 and 450 K was used to simulate several isochoric/isothermal ensembles simultaneously and efficiently, from which the heat capacity, thermal expansion coefficients, Gru ¨neisen coefficients, and the elastic stiffness tensor were determined at atmospheric pressure. The noncrystalline interlamellar phase exhibits properties intermediate between that of the semicrystalline solid and the amorphous melt.
Thermoplastic
polyurethanes (TPUs) are useful materials for numerous
applications due in part to their outstanding resilience and ability
to dissipate energy under large mechanical deformation. However, the
mechanistic understanding of the origins of these mechanical properties
at the molecular level remains elusive, largely due to the complex,
heterogeneous structure of these materials, which arises from the
segregation of chemically distinct segments into hard and soft domains.
In this work, molecular simulations are used to identify the mechanism
of mechanical response under large tensile deformation of a common
thermoplastic polyurethane comprising 4,4′-diphenylmethane
diisocyanate and n-butanediol (hard segment) and
poly(tetramethylene oxide) (soft segment), with atomic resolution.
The simulation employs a lamellar stack model constructed using the
Interphase Monte Carlo method established previously for semicrystalline
polymers, which models the interfacial zone between hard and soft
domains with thermodynamically rigorous distributions of bridges,
loops, and tails. Molecular-level mechanisms responsible for yield,
toughening, and the Mullins effect are reported. We have found several
distinct mechanisms for yield and plastic flow, which we categorize
as (i) cavitation, (ii) chain pull-out, (iii) localized melting with
shear band formation, and (iv) block slip. The activity of these mechanisms
depends on the topology of chains in the soft domain and the direction
of loading (e.g., parallel or perpendicular to the interface). Further
insights regarding toughening mechanisms and the Mullins effect are
obtained from cyclic loading, where mechanisms ii to iv were found
to be irreversible and account for the superior resilience and dissipation
at large tensile strains in thermoplastic polyurethanes.
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