The theoretically predicted vanishment of the macroscopic contact angle hysteresis is found experimentally along with a small but finite force of adhesion (F(Ad)≈-0.5 μN) that, unexpectedly, is independent of the history of the preload. Our results agree with the prediction of a model in which the surface tension of the liquid provides the counterpart of the restoring force of an elastic solid,...

Conventional descriptions of transverse waves in an elastic solid are limited by an assumption of infinitesimally small gradients of rotation. By assuming a linear response to variations in orientation, we derive an exact description of a restricted class of rotational waves in an ideal isotropic elastic solid. The result is a nonlinear equation expressed in terms of Dirac bispinors. This resul...

A simple application of the Einstein model combined with an elastic description of the solid state is developed. The frequency of quantum oscillators has been assumed as volume dependent and elastic energy terms with a static character have been included to complete the description. Such an extension enables us to construct the complete thermodynamics. In particular, the model yields a practica...

On the interface between a solid and a fluid, a reaction can occur in which atoms either leave the solid to join the fluid, or leave the fluid to join the solid. If the solid is in addition subject to a mechanical load, two outcomes may be expected. The reaction may proceed uniformly, so that the interface remains flat as the solid recedes or extends. Alternatively, the reaction may cause the i...

The finite element method (FEM) is used to study the influence of porosity and pore shape on the elastic properties of model porous ceramics. The Young’s modulus of each model was found to be practically independent of the solid Poisson’s ratio. At a sufficiently high porosity, the Poisson’s ratio of the porous models converged to a fixed value independent of the solid Poisson’s ratio. The Youn...

Pattern transformation in periodic microporous elastoplastic solid coatings is caused by a buckling of the struts and a rotation of the nodes under compressive stresses. The results of a nonlinear numerical investigation confirm the critical role of the bifurcation of the periodic solid under compressive stresses. In striking contrast to the earlier observations of elastic instabilities in poro...

We consider a one-dimensional elastic string as a set of massless beads interacting through springs characterized by anisotropic elastic constants. The string, driven by an external force, moves in a medium with quenched disorder. We find that longitudinal fluctuations lead to nonlinear behavior in the equation of motion that is kinematically generated by the motion of the string. The strength ...

The linear governing equations of a transversely isotropic microstretch elastic solid medium are formulated and solved for surface wave solutions. The appropriate solutions satisfying the radiation conditions are applied to the required boundary conditions at the free surface of the halfspace of the medium. A frequency equation is obtained for Rayleigh surface wave in the medium. The non-dimens...

Original and modified variants of the Ghost Solid Method (GSM) are proposed for application to the boundary conditions at the solid-solid interface of isotropic elastic-plastic materials, in a Lagrangian framework. The methods are discussed for one dimensional as well as two dimensional settings with slip and no-slip conditions. It is shown, in the presence of the wave propagation through the s...

Abstract. Unified geometric approach to describing kinematics of elastic and plastic deformations of continuous media is suggested. On the base of this approach we study mechanical deformations, viscous flow, and heat transport in glassy plastic media. As a result we derive appropriate differential equations for these phenomena in a form applicable to liquids, elastic solids, and to plastic sol...