Computational prediction of the influence of crosslink distribution on the thermo-mechanical properties of epoxies

Experimental studies on epoxies report that the microstructure consists of highly crosslinked localized regions connected with a dispersed phase of low crosslink density. The various thermo-mechanical properties of epoxies might be affected by the crosslink distribution. But as experiments cannot report the exact number of crosslinked covalent bonds present in the structure, molecular dynamics is thus being used in this work to determine the influence of crosslink distribution on thermo-mechanical properties. Molecular dynamics and molecular mechanics simulations are used to establish wellequilibrated molecular models of EPON 862-DETDA epoxy system with a range of crosslink densities and various crosslink distributions. Crosslink distributions are being varied by forming differently crosslinked localized clusters and then by forming different number of crosslinks interconnecting the clusters. Simulations are subsequently used to predict the volume shrinkage, thermal expansion coefficients, and elastic properties of each of the crosslinked systems. The results indicate that elastic properties increase with increasing levels of overall crosslink density and the thermal expansion coefficient decreases with overall crosslink density, both above and below the glass transition temperature. Elastic moduli and coefficients of linear thermal expansion values were found to be different for systems with same overall crosslink density but having different crosslink distributions, thus indicating an effect of the epoxy nanostructure on physical properties. The values of thermo-mechanical properties for all the crosslinked systems are within the range of values reported in literature.

Molecular modeling of EPON 862-DETDA polymer

EPON 862 is an epoxy resin which is cured with the hardening agent DETDA to form a crosslinked epoxy polymer and is used as a component in modern aircraft structures. These crosslinked polymers are often exposed to prolonged periods of temperatures below glass transition range which cause physical aging to occur. Because physical aging can compromise the performance of epoxies and their composites and because experimental techniques cannot provide all of the necessary physical insight that is needed to fully understand physical aging, efficient computational approaches to predict the effects of physical aging on thermo-mechanical properties are needed. In this study, Molecular Dynamics and Molecular Minimization simulations are being used to establish well-equilibrated, validated molecular models of the EPON 862-DETDA epoxy system with a range of crosslink densities using a united-atom force field. These simulations are subsequently used to predict the glass transition temperature, thermal expansion coefficients, and elastic properties of each of the crosslinked systems for validation of the modeling techniques. The results indicate that glass transition temperature and elastic properties increase with increasing levels of crosslink density and the thermal expansion coefficient decreases with crosslink density, both above and below the glass transition temperature. The results also indicate that there may be an upper limit to crosslink density that can be realistically achieved in epoxy systems. After evaluation of the thermo-mechanical properties, a method is developed to efficiently establish molecular models of epoxy resins that represent the corresponding real molecular structure at specific aging times. Although this approach does not model the physical aging process, it is useful in establishing a molecular model that resembles the physically-aged state for further use in predicting thermo-mechanical properties as a function of aging time. An equation has been predicted based on the results which directly correlate aging time to aged volume of the molecular model. This equation can be helpful for modelers who want to study properties of epoxy resins at different levels of aging but have little information about volume shrinkage occurring during physical aging.

Biomechanics of meniscal horn attachments

Menisci are anchored to the tibia by means of ligament-like structures called meniscal attachments. Failure material properties of bovine meniscal attachments were obtained. There were no significant differences in the structural properties or ultimate stress between the meniscal attachments (p>0.05). Furthermore, Glycosaminoglycan (GAG) fraction and crimping frequency was obtained for each attachment using histology and differential interference contrast (DIC) respectively. Results showed that the anterior attachment’s insertion had the greatest GAG fraction when compared to the posterior attachment’s insertion. Crimp frequency of the collagen fibrils was homogeneous along the length. Moreover, Scanning Electron Microscopy (SEM) technique was used to reveal the morphology of collagen in human meniscal attachments. Its midsubstance was composed of collagen fascicles running parallel to the longitudinal axis, with a few fibrils running obliquely, and others transversely. There were no differences between attachments for crimping angle or length. Since ligamentous-type tissues are comprised mainly of water, the fluid pressure within meniscal horn attachments was measured using a Fiber Optic Microsensor (FOM). Four cadaveric human joints were subjected to 2BW compressive load (ramp) at 0-, 15-, and 30-degrees of flexion for a minute and then the load was hold for 20 minutes (equilibrium). There were significant differences between 0- and 15- (p1– c5) were obtained. Significant differences were found on the straightened collagen fibers coefficient (c5) between MP and LA attachments (p