Elastic and plastic effects on heterogeneous nucleation and nanowire formation

Abstract

We investigate theoretically the effects of elastic and plastic deformations on heterogeneous nucleation and nanowire formation. In the first case, the influence of the confinement of the critical nucleus between two parallel misfitting substrates is investigated using scaling arguments. We present phase diagrams giving the nature of the nucleation regime as a function of the driving force and the degree of confinement. We complement this analytical study by amplitude equations simulations. In the second case, the influence of a screw dislocation inside a nanowire on the development of the morphological surface stability of the wire, related to the Rayleigh-Plateau instability, is examined. Here the screw dislocation provokes a torsion of the wire known as Eshelby twist. Numerical calculations using the finite element method and the amplitude equations are performed to support analytical investigations. It is shown that the screw dislocation promotes the Rayleigh-Plateau instability.

arXiv comment16 pages

References in corpus (13)

• Phase field modeling of crack propagation
• Equilibrium nano-shape changes induced by epitaxial stress (generalised Wulf-Kaishew theorem)
• Phase Field Modeling of Fast Crack Propagation
• Phase-field-crystal study of grain boundary premelting and shearing in bcc iron
• Phase Field Modeling of Fracture and Stress Induced Phase Transitions
• Comparison of phase-field models for surface diffusion
• Amplitude equations for polycrystalline materials with interaction between composition and stress
• Morphology of epitaxial core-shell nanowires
• Fast crack propagation by surface diffusion
• Structural short-range forces between solid-melt interfaces
• Influence of Strain on the Kinetics of Phase Transitions in Solids
• Fracture as a pattern formation process
• Crack growth by surface diffusion in viscoelastic media