Typical hexagonal engineering materials, such as magnesium and titanium, deform
extensively through shear strains and crystallographic re-orientations associated with the …

Peridynamic models that aim to incorporate a given classical local continuum stress-
deformation response function typically start with a nonlocal averaged analog to the …

Theoretical and computational methods for representing mechanical behaviors of crystalline
materials in the vicinity of planar interfaces are examined and compared. Emphasis is on …

In this work, a novel comparative method for highly brittle materials such as aragonite
crystals is proposed, which provides an efficient and accurate in-sight understanding for …

A geometrically nonlinear phase field theory accounting for dissipation, rate effects,
nonlinear thermoelasticity, fracture, and other structural changes is constructed in the …

Mechanical behavior of polycrystalline materials is intimately connected to migration of grain
boundaries, which in turn is dramatically impacted by the presence of defects. In this paper …

In the present work, a nonlinear finite element method is utilized to solve the coupled system
of time-dependent phase field and elasticity equations for phase transformations (PTs) at the …

When subjected to electro-mechanical loading, ferroelectrics see their polarization evolve
through the nucleation and evolution of domains. Existing mesoscale phase-field models for …

Die Bruchmechanik zählt zu den aufstrebenden und vielversprechendsten Gebieten der
Ingenieurmechanik. In den letzten Jahrzehnten wurden zahlreiche theoretische …

This work considers the approximation of peridynamics by strain-gradient models in the
linear, one-dimensional setting. Strain-gradient expansions that approximate the …