Stability analysis of phase boundary motion by surface diffusion with triple junction
نویسندگان
چکیده
The linearized stability of stationary solutions for the surface diffusion flow with a triple junction is studied. We derive the second variation of the energy functional under the constraint that the enclosed areas are preserved and show a linearized stability criterion with the help of the H-gradient flow structure of the evolution problem and the analysis of eigenvalues of a corresponding differential operator.
منابع مشابه
Stability of Travelling Wave Solutions for Coupled Surface and Grain Boundary Motion
We investigate the spectral stability of the travelling wave solution for the coupled motion of a free surface and grain boundary that arises in materials science. In this problem a grain boundary, which separates two materials that are identical except for their crystalline orientation, evolves according to mean curvature. At a triple junction, this boundary meets the free surfaces of the two ...
متن کاملFinite Element Approximation of Coupled Surface and Grain Boundary Motion with Applications to Thermal Grooving and Sintering
We study the coupled surface and grain boundary motion in biand tricrystals in three space dimensions, building on previous work by the authors on the simplified two dimensional case. The motion of the interfaces, which in this paper are presented by two-dimensional hypersurfaces, is described by two types of normal velocities: motion by mean curvature and motion by surface diffusion. Three hyp...
متن کاملWave Propagation at the Boundary Surface of Inviscid Fluid Half-Space and Thermoelastic Diffusion Solid Half-Space with Dual-Phase-Lag Models
The present investigation deals with the reflection and transmission phenomenon due to incident plane longitudinal wave at a plane interface between inviscid fluid half-space and a thermoelastic diffusion solid half-space with dual-phase-lag heat transfer (DPLT) and dual-phase-lag diffusion (DPLD) models. The theory of thermoelasticity with dual-phase-lag heat transfer developed by Roychoudhar...
متن کاملRecovery by triple junction motion in aluminium deformed to ultrahigh strains
Commercial purity aluminium at true strains 3 = 2∼ 5.5 was annealed in a wide temperature range (from room temperature to 220◦C), and the evolution of microstructure was characterized using transmission electron microscopy (TEM) and electron backscattered diffraction (EBSD) techniques. Triple junctions in an ultrafine lamellar structure are classified into three categories based on the structur...
متن کاملProblem of Rayleigh Wave Propagation in Thermoelastic Diffusion
In this work, the problem of Rayleigh wave propagation is considered in the context of the theory of thermoelastic diffusion. The formulation is applied to a homogeneous isotropic thermoelastic half space with mass diffusion at the stress free, isothermal, isoconcentrated boundary. Using the potential functions and harmonic wave solution, three coupled dilatational waves and a shear wave is obt...
متن کامل