– A Landau theory is constructed for the vulcanization transition in cross-linked polymer systems with spontaneous nematic ordering. The neo-classical theory of the elasticity of nematic elastomers is derived via the minimization of this Landau free energy; this neoclassical theory contains the classical theory of rubber elasticity as its isotropic limit. Our work not only reveals the statistic...

The application of non-classical approach the boundary integral equation method in combination with Laplace transform time to anisotropic elastic wave modeling is considered. In contrast classical which successfully implemented for solving three-dimensional isotropic problems dynamic theory elasticity, viscoelasticity and poroelasticity, alternative nonclassical formulation equations presented ...

A Landau theory is constructed for the gelation transition in cross-linked polymer systems possessing spontaneous nematic ordering, based on symmetry principles and the concept of an order parameter for the amorphous solid state. This theory is substantiated with help of a simple microscopic model of cross-linked dimers. Minimization of the Landau free energy in the presence of nematic order yi...

Fabrication, characterization and application of micro-/nano-rods/wires are among the hottest topics in materials science and applied physics. Micro-/nano-rod-based structures and devices are developed for a wide-ranging use in various fields of micro-/nanoscience (e.g. biology, electronics, medicine, optics, optoelectronics, photonics and sensors). It is well known that the structure and prope...

Classical plate buckling theory is obtained systematically as the small-thickness limit of the three-dimensional linear theory of incremental elasticity with null incremental data. Various a priori assumptions associated with classical treatments of plate buckling, including the Kirchhoff–Love hypothesis, are here derived rather than imposed, and the conditions under which they emerge are state...

In this article, the influence of hydrostatic stress and gravity on a clamped- free non homogeneous magneto electro elastic plate of polygonal cross sections is studied using linear theory of elasticity. The equations of motion based on two-dimensional theory of elasticity are applied under the plane strain assumption of prestressed and gravitated magneto electro elastic plate of polygonal cros...

We propose a general method to determine the theoretical microstructure in one dimensional elastic bars whose internal deformation energy is given by non-convex polynomials. We use non-convex variational principles and Young measure theory to describe the optimal energetic configuration of the body. By using convex analysis and classical characterizations of algebraic moments, we can formulate ...

PurposeConsidering the size-dependent influence ignored by classical continuum mechanics, a new non-classical Euler–Bernoulli beam model is proposed in this paper. The fractional viscoelastic nanobeam set up using Kelvin–Voigt and Hamilton’s principle. And studies total effects of nonlocal elasticity, modified couple stress, surface energy.MethodsThe represented integral-partial differential go...

Abstract Linear elasticity has long been considered a well-established research area using conservative field theory. However, the discovery of odd-elasticity challenges essential energy conservation assumption, which together with gyroscopic ingredients compromise fundamental theory elasticity, but to same effect, enable new directions in active elastodynamics. Here, we consider two-dimensiona...