based on the notion of micro-structure in linear elasticity presented by mindlin, a newextended continuum mechanics (ecm) formulation is derived which can be utilized to model thematerial behavior at atomic scale. an attempt has been made to present a formulation capable ofproducing the molecular dynamics (md) simulation results with less computational effort. to thisend, some new kinematical v...

The work delivers solution to a relevant scientific problem of solid mechanics. It consists in developing theoretical basis for computational and experimental research contact interaction complex-shaped bodies with account micromechanical models roughness other intermediate or surface layers. New methods have been developed the analysis properties layers characterized by nonlinear local stiffne...

The importance of nonlinearities in material constitutive relations has long been appreciated in the continuum mechanics of macroscopic rods. Although the moment (torque) response to bending is almost universally linear for small deflection angles, many rod systems exhibit a high-curvature softening. The signature behavior of these rod systems is a kinking transition in which the bending is loc...

We present a general framework for regularization of optical flow by mechanical finite-element models derived from the theory of continuum mechanics. We enforce image-based local motion estimates as lumped body forces applied at mesh nodes of an underlying mechanical model. The lumped body forces are formulated as virtual springs displaced by local motion estimates. The choice of each virtual s...

A plasma is an ionized gas in which some of the electrons are free rather than bound to atoms as in an ordinary gas. The behavior of a plasma is more subtle than the behavior of an ordinary gas. In an ordinary gas the dynamics is dominated by two-body collisions, but in a plasma the particles interact via long-range forces, and this interaction causes the plasma to exhibit collective effects. I...

The importance and usefulness of renormalization are emphasized in nonrelativistic quantum mechanics. The momentum space treatment of both two-body bound state and scattering problems involving some potentials singular at the origin exhibits ultraviolet divergence. The use of renormalization techniques in these problems leads to finite converged results for both the exact and perturbative solut...

Cells respond to three main categories of physicochemical cues: chemical, topographical, and mechanical. While surface chemistry and topography have been studied extensively, substrate mechanics has only recently been appreciated. Recent technologies of creating surfaces with well-defined chemistry and topography combined with sensitive surface characterization techniques have unquestionably de...

An early triumph of quantum mechanics was the explanation of metallic and insulating behavior based on the filling of electronic bands. A complementary, classical picture of insulators depicts electrons as occupying localized and symmetric Wannier orbitals that resemble atomic orbitals. We report the theoretical discovery of band insulators for which electron filling forbids such an atomic desc...