The apparent molecular weight between crosslinks (Mc,a) in a polymer network plays a fundamental role in the network mechanical response. We systematically varied Mc,a independent of strong noncovalent bonding by using ring-opening metathesis polymerization (ROMP) to co-polymerize dicyclopentadiene (DCPD) with a chain extender that increases Mc,a or a di-functional crosslinker that decreases Mc,a. We compared the ROMP series quasi-static modulus (E), tensile yield stress (σy), and fracture toughness (KIC and GIC) in the glassy regime with literature data for more polar thermosets. ROMP resins showed high KIC (>1.5 MPa m0.5), high GIC (>1000 J m-2), and 4-5 times higher high rate impact resistance than typical polar thermosets with similar Tg values (100 °C to 178 °C). The overall E values were lower for ROMP systems. The σy dependence on Mc,a and T-Tg for ROMP resins was qualitatively similar to more polar thermosets, but the overall σy values were lower. In contrast to more polar thermosets, the KIC and GIC values of the ROMP resins showed strong Mc,a and T-Tg dependence. High rate impact (∼104-105 s-1) trends were similar to the KIC and GIC behavior, but were also correlated to σy. Overall, a ductile failure mode was observed for quasi-static and high rate results for a linear ROMP polymer (Mc,a = 1506 g mol-1 due to chain entanglement), and this gradually transitioned to a fully brittle failure mode for highly crosslinked ROMP polymers (Mc,a ≤ 270 g mol-1). Molecular dynamics (MD) simulations showed that low Mc,a ROMP resins were more likely to form molecular scale nanovoids. The higher chain stiffness in low Mc,a ROMP resins inhibited stress relaxation in the vicinity of these nanovoids, which correlated with brittle mechanical responses. Overall, these differences in mechanical properties were attributed to the weak non-covalent interactions in ROMP resins.
Polycations with varying chemistries and architectures have been synthesized and used in DNA transfection. In this paper we connect poly-L-lysine (PLL) architecture to DNA-binding strength, and in turn transfection efficiency, since experiments have shown that graft-type oligolysine architectures [e.g., poly(cyclooctene-g-oligolysine)] exhibit higher transfection efficiency than linear PLL. We use atomistic molecular dynamics simulations to study structural and thermodynamic effects of polycation-DNA binding for linear PLL and grafted oligolysines of varying graft lengths. Structurally, linear PLL binds in a concerted manner, while each oligolysine graft binds independently of its neighbors in the grafted architecture. Additionally, the presence of a hydrophobic backbone in the grafted architecture weakens binding to DNA compared to linear PLL. The binding free energy varies nonmonotonically with the graft length primarily due to entropic contributions. The binding free energy normalized to the number of bound amines is similar between the grafted and linear architectures at the largest (Poly5) and smallest (Poly2) graft length and stronger than the intermediate graft lengths (Poly3 and Poly4). These trends agree with experimental results that show higher transfection efficiency for Poly3 and Poly4 grafted oligolysines than for Poly5, Poly2, and linear PLL.
We study the viscoelastic response of amorphous polymers using theory and simulations. By accounting for internal stresses and considering instantaneous normal modes (INMs) within athermal non-affine theory, we make parameter-free predictions of the dynamic viscoelastic moduli obtained in coarse-grained simulations of polymer glasses at non-zero temperatures. The theoretical results show very good correspondence with rheology data collected from molecular dynamics simulations over five orders of magnitude in frequency, with some instabilities that accumulate in the low-frequency part on approach to the glass transition. These results provide evidence that the mechanical glass transition itself is continuous and thus represents a crossover rather than a true phase transition. The relatively sharp drop of the low-frequency storage modulus across the glass transition temperature can be explained mechanistically within the proposed theory: the proliferation of low-eigenfrequency vibrational excitations (boson peak and nearly-zero energy excitations) is directly responsible for the rapid growth of a negative non-affine contribution to the storage modulus.
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