Most metallic elements have a crystal structure that is either body-centered cubic (bcc), face-
centered close packed, or hexagonal close packed. If the bcc lattice is the …

We discuss the deformation of a curved interface between solid phases, assuming small
strains in the bulk phases and neglecting accretion at the interfaces. Such assumptions are …

Atoms at a free surface experience a different local environment than do atoms in the bulk of
a material. As a result, the energy associated with these atoms will, in general, be different …

The virial stress is the most commonly used definition of stress in discrete particle systems.
This quantity includes two parts. The first part depends on the mass and velocity (or, in some …

Grain boundaries (GBs) play a crucial role in the mechanical behaviors of nanocrystalline
materials. The dynamics of GBs depend on a variety of intrinsic and extrinsic factors …

Molecular simulations of a model, deeply quenched polymeric glass show that the elastic
moduli become strongly inhomogeneous at length scales comprising several tens of …

We analyze a real-space expression for the local stress tensor. This tensor rigorously
satisfies conservation of linear momentum. From this expression a coarse-grained tensor is …

There is an inevitable need to establish multilength scale statistical microstructure–
constitutive property relations in materials design. In this paper, we have developed a …

A multi-scale hierarchical constitutive model is developed for establishing the relationship
between quantum mechanical, micromechanical, and overall strength/toughness properties …

In this study, a group of submicro BaTiO 3 ceramics ranging from 330 nm to 1.05 μm was
successfully prepared by a two-step sintering process and the dependence of electric and …