Equilibrium morphology of misfit particles in elastically stressed solids under chemo-mechanical equilibrium conditions

Effects of elastic strain energy and interfacial stress on the equilibrium morphology of misfit particles in heterogeneous solids

This paper presents an efficient sharp interface model to study the morphological transformations of misfit particles in phase separated alloys. Both the elastic anisotropy and interfacial energy are considered. The geometry of the material interface is implicitly described by the level set method so that the complex morphological transformation of microstructures can be accurately captured. A ...

Two-dimensional chemo-elasticity under chemical equilibrium

Article history: Received 11 May 2014 Received in revised form 21 October 2014 Available online 24 December 2014

On Mathematical Models for Phase Separation in Elastically Stressed Solids

Multi-component Allen-cahn Equation for Elastically Stressed Solids

The vector-valued Allen-Cahn equations are combined with elasticity where a linear stress-strain relationship is assumed. A short physical derivation of the generalised model is given and global existence and uniqueness of the solution are shown under suitable growth conditions on the nonlinearity.

Non-equilibrium dynamics of magnetically anisotropic particles under oscillating fields.

In this article, we demonstrate how magnetic anisotropy of colloidal particles can give rise to unusual dynamics and controllable rearrangements under time-dependent fields. As an example, we study spherical particles with a radially off-centered net magnetic moment in an oscillating field. Based on complementary data from a numerical simulation of spheres with shifted dipole and experimental o...