The mechanical behavior of two-dimensional (2D) materials across 2D phase changes is unknown, and the finite temperature ($T$) elasticity paradigmatic SnSe monolayers---ferroelectric turning paraelectric as their unit cell turns from a rectangle into square---is described here in progressive manner. To begin with, $\mathrm{zero}\text{\ensuremath{-}}T$ total energy landscape gives way to (Boltzm...

A selection of open problems in the theory composites is presented. Particular attention drawn to question whether two-dimensional, two-phase, with general geometries have same set possible effective tensors as those hierarchical laminates. Other questions involve conductivity and elasticity composites. Finally, some future directions for wave other equations are mentioned.

In the present paper, bending and stress analyses of two-directional functionally graded (FG) circular plates resting on non-uniform two-parameter foundations (Winkler-Pasternak foundations) are investigated using a first-order shear-deformation theory. To enhance the accuracy of the results, the transverse stress components are derived based on the three dimensional theory of elasticity. The s...

PACS. 64.10.+h – General theory of equations of state and phase equilibria. Abstract. – A density functional theory of two-dimensional freezing is presented for a soft interaction potential that scales as inverse cube of particle distance. This repulsive potential between parallel, induced dipoles is realized for paramagnetic colloids on an interface, which are additionally exposed to an extern...

In present study, the third-order shear deformation theory has been developed to investigate vibration analysis of FG Nano-plates based on Eringen nonlocal elasticity theory. The materials distribution regarding to the thickness of Nano-plate has been considered based on two different models of power function and exponential function. All equations governing on the vibration of FG Nano-plate ha...

The objective of this paper is the computation Airy stress function a two-layer composite beam with interlayer slip. For calculation upper and lower layer functions an iterative solution procedure from Boley-Tolins adapted, which was originally introduced for isotropic single beams under plane assumptions. Considering continuity equations interface stress, vertical deflection linear law between...