Nanoparticles can be beautiful, as in stained glass windows, or they can be ugly as in wear
and corrosion debris from implants. We estimate that there will be about 70 000 papers in …

This book discusses classical results, as well as recent developments, related to the Cahn–
Hilliard equation. It is based on the lectures that I gave at the CBMS-NSF Conference on the …

After a decade of periodic truss-, plate-, and shell-based architectures having dominated the
design of metamaterials, we introduce the non-periodic class of spinodoid topologies …

We present a two-scale topology optimization framework for the design of macroscopic
bodies with an optimized elastic response, which is achieved by means of a spatially-variant …

A phase field model of fracture that accounts for anisotropic material behavior at small and
large deformations is outlined within this work. Most existing fracture phase field models …

The deposition/stripping behavior of lithium metal is intriguing, and the associated formation
of inactive lithium at various temperatures remains elusive, which hinders the practical …

Crack propagation in brittle materials with anisotropic surface energy is important in
applications involving single crystals, extruded polymers, or geological and organic …

In this paper, we consider numerical approximations for solving the anisotropic Cahn–
Hilliard model. We combine the Scalar Auxiliary Variable (SAV) approach with the …

Metal-based additive manufacturing (AM) processes often produce parts with improved
properties compared to conventional manufacturing and metal working routes. However …

The Cahn–Hilliard equation and some of its variants Home 8.{{subColumn.name}} AIMS
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