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Graham Cross

Publications and source records attributed to Graham Cross.

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Nonuniform pressure helps structural superlubricity

Structural superlubricity, nearly vanishing friction between two structurally incommensurate crystalline surfaces, is a promising avenue for reducing friction in applications, but requires very specific and well-controlled conditions. One of those conditions is perfectly uniform atomically flat surfaces. Real-world surfaces are generally rough, leading to nonuniform pressure distributions. We investigate the effects of nonuniform pressure distributions on structural superlubricity, using analytical calculations for rigid contacts as a basis, and molecular-dynamics simulations for a simple model to include the crucial effects of elasticity. We show that a key ingredient is the vanishing pressure at the edge of the contact, and that this leads to improved scaling depinning and scaling behaviour, leading to lower friction. We thus show that nonuniform pressure distributions actually help structural superlubricity, rather than hinder it.

cond-mat.mtrl-sci

Single-Contact Problem in Atomically Flat Interfaces: a Simulation Approach

Understanding friction at single-asperity contacts is essential for bridging the gap between nanoscale structural superlubricity and realistic tribological systems dominated by Hertzian contact geometry. In this work, we combine atomistic simulations and a modified continuum model to investigate the onset of sliding at crystalline SiO$_2$/SiO$_2$ interfaces. Interfacial sliding potential energy surfaces (ISPES) are computed to determine the load-dependent shear strength and minimal-scale sliding (MSS) friction. Both quantities exhibit linear dependence on normal pressure below 3 GPa, and have non-zero values at zero pressure. Incorporating these parameters, we extend the classical Mindlin model by including adhesion and nanoscale load effects, allowing us to describe the stick to slip transition under realistic Hertzian stress distributions. The model shows that nonuniform pressure distributions substantially lower the effective static friction, and oscillatory-shear experiments on graphene-passivated contacts reproduce both the predicted stiffness-collapse signature and, in the passivated limit, the adhesion-limited shear strength obtained from simulation, supporting the model's relevance to real micro-asperity tribology.

cond-mat.mes-hall