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Molecular Dynamics Simulations of Fracture of Model Epoxies

Stevens, Mark J.

The failure of thermosetting polymer adhesives is an important problem which particularly lacks understanding from the molecular viewpoint. While linear elastic fracture mechanics works well for such polymers far from the crack tip, the method breaks down near the crack tip where large plastic deformation occurs and the molecular details become important [1]. Results of molecular dynamics simulations of highly crosslinked polymer networks bonded to a solid surface are presented here. Epoxies are used as the guide for modeling. The focus of the simulations is the network connectivity and the interfacial strength. In a random network, the bond stress is expected to vary, and the most stressed bonds will break first [2]. Crack initiation should occur where a cluster of highly constrained bonds exists. There is no reason to expect crack initiation to occur at the interface. The results to be presented show that the solid surface limits the interfacial bonding resulting in stressed interfacial bonds and interfacial fracture. The bonds in highly-crosslinked random networks do not become stressed as expected. The sequence of molecular structural deformations that lead to failure has been determined and found to be strongly dependent upon the network connectivity. The structure of these networks and its influence on the stress-strain behavior will be discussed in general. A set of ideal, ordered networks have been constructed to manipulate the deformation sequence to achieve different fracture modes (i.e. cohesive vs. adhesive).

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Molecular-To-Continuum Fracture Analysis of Thermosetting Polymer/Solid Interfaces

Kent, Michael S.; Reedy, Earl D.; Stevens, Mark J.

This report focuses on the relationship between the fundamental interactions acting across an interface and macroscopic engineering observable such as fracture toughness or fracture stress. The work encompasses experiment, theory, and simulation. The model experimental system is epoxy on polished silicon. The interfacial interactions between the substrate and the adhesive are varied continuously using self-assembling monolayer. Fracture is studied in two specimen geometries: a napkin-ring torsion geometry and a double cantilevered beam specimen. Analysis and modeling involves molecular dynamics simulations and continuum mechanics calculations. Further insight is gained from analysis of measurements in the literature of direct force measurements for various fundamental interactions. In the napkin-ring test, the data indicate a nonlinear relationship between interface strength and fracture stress. In particular, there is an abrupt transition in fracture stress which corresponds to an adhesive-to-cohesive transition. Such nonlinearity is not present in the MD simulations on the tens-of-nanometer scale, which suggests that the nonlinearity comes from bulk material deformation occurring on much larger length scales. We postulate that the transition occurs when the interface strength becomes comparable to the yield stress of the material. This postulate is supported by variation observed in the fracture stress curve with test temperature. Detailed modeling of the stress within the sample has not yet been attempted. In the DCB test, the relationship between interface strength and fracture toughness is also nonlinear, but the fracture mechanisms are quite different. The fracture does not transition from adhesive to cohesive, but remains adhesive over the entire range of interface strength. This specimen is modeled quantitatively by combining (i) continuum calculations relating fracture toughness to the stress at 90 {angstrom} from the crack tip, and (ii) a relationship from molecular simulations between fracture stress on a {approx} 90 {angstrom} scale and the fraction of surface sites which chemically bond. The resulting relationship between G{sub c} and fraction of bonding sites is then compared to the experimental data. This first order model captures the nonlinearity in the experimentally-determined relationship. A much more extensive comparison is needed (calculations extending to higher G{sub c} values, experimental data extending to lower G{sub c} values) to guide further model development.

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Manipulating Polymer Connectivity to Control Interfacial Fracture

Physical Review Letters

Stevens, Mark J.

By studying model polymeric networks which only differ in their connectivity, the connectivity is shown to strongly control the stress-strain response and failure modes. The sequence of molecular structural deformations that lead to failure are strongly dependent upon the network connectivity. A set of ideal, ordered networks are constructed to manipulate the deformation sequence to achieve a variety of adhesive qualities. Compared to random, dynamically formed networks, these ideal networks can be made to have either much larger or smaller failure stresses and strains. Unlike the random networks, the failure stress of an ideal network can be made close to the ideal stress equal to breaking all bonds to the substrate. By varying the number of bonds to the surface, the failure mode can be controlled to be either adhesive or cohesive.

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Bundle binding in polyelectrolyte solutions

Physical Review Letters

Stevens, Mark J.

Stiff polyelectrolytes are found to spontaneously form oriented bundles. Conditions under which bundling occurs are found. Molecular dynamics simulations show that divalent counterions are necessary, and the chains must be sufficiently long and stiff. No aggregation occurs for monovalent counterions. For flexible or short chains, aggregation occurs but bundle formation does not. Because of dynamical constraints, the systems tend to order into a network of connected bundles, not a single bundle. © 1999 The American Physical Society.

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Proposed research on class I components to test a general approach to accelerated aging under combined stress environments

Cygan, Randall T.; Jiang, Ying B.; Alam, Todd M.; Brinker, C.J.; Bunker, B.C.; Leung, Kevin; Nenoff, Tina M.; Nyman, May D.; Ockwig, Nathan O.; Orendorff, Christopher; Rempe, Susan B.; Singh, Seema S.; Criscenti, Louise; Stevens, Mark J.; Thurmer, Konrad; Van Swol, Frank B.; Varma, Sameer; Crozier, Paul; Feibelman, Peter J.; Houston, Jack E.; Huber, Dale L.

This report summarizes research on the aging of Class I components in environments representative of nuclear power plants. It discusses Class IE equipment used in nuclear power plants, typical environments encountered by Class IE components, and aging techniques used to qualify this equipment. General discussions of radiation chemistry of polymers and accelerated aging techniques are also included. Based on the inadequacies of present aging techniques for Class IE equipment, a proposal for an experimental program on electrical cables is presented. One of the main purposes of the proposed work is to obtain relevant data in two areas of particular concern--the effect of radiation dose rate on polymer degradation, and the importance of synergism for combined thermal and radiation environments. A new model that allows combined environment accelerated aging to be carried out is introduced, and it is shown how the experimental data to be generated can be used to test this model.

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Results 176–181 of 181
Results 176–181 of 181
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