The design and engineering of hybrid materials exhibiting tailored phononic band gaps are fundamentally relevant to innovative material technologies in areas ranging from acoustics to thermo-optic devices. Phononic hybridization gaps, originating from the anti-crossing between local resonant and propagating modes, have attracted particular interest because of their relative robustness to struct...

In the present paper we will deal with numerical solution of a generalized semicoercive contact problem in linear elasticity, for the case that several bodies of arbitrary shapes are in mutual contacts and are loaded by external forces, by using the non-overlapping domain decomposition and finite elements method. The numerical example will be presented.

In recent years, a growing body of the literature in international trade tried to investigate whether openness has been increasing labour demand elasticities. From a labour theory perspective in partial equilibrium, the Allen-Hamermesh theoretical framework became one of the few general frameworks to refer to1. This theory states that labour demand elasticity should be positively affected by it...

We consider a generalisation of the Cahn–Hilliard equation that incorporates an elastic energy density which, being quasiconvex, incorporates microstructure formation on smaller length scales. We prove global existence of weak solutions in certain microstructural regimes in (one and) two dimensions and present sufficient conditions for uniqueness. Preliminary numerical computations to illustrat...

Thermo elastic analysis of a functionally graded cylinder under mechanical and thermal loads is investigated analytically in the present paper. The first order shear deformation theory (FSDT) is employed for analysis of the problem. FSDT recognizes two components for definition of the deformation. Displacement of the mid-plane and rotation about that are two components of deformation. The modul...

The paper offers a new approach to handling difficult parametric inverse problems in elasticity and thermo-elasticity, formulated as global optimization ones. The proposed strategy is composed of two phases. In the first, global phase, the stochastic hp-HGS algorithm recognizes the basins of attraction of various objective minima. In the second phase, the local objective minimizers are closer a...

First, we formulate the mixed initial boundary value problem in the theory of thermoelastic microstretch bodies having certain internal state variables. Then by using some approachable computing techniques and the known Gronwall’s inequality we will prove that the presence of internal state variables do not influence the uniqueness of solution of the mixed problem. The purpose of the theory of ...

In this paper, we discuss the application of Generalized Multiscale Finite Element Method (GMsFEM) to elasticity equation in heterogeneous media. Our applications are motivated by elastic wave propagation in subsurface where the subsurface properties can be highly heterogeneous and have high contrast. We present the construction of main ingredients for GMsFEM such as the snapshot space and o in...

Aiming to estimate the effective behavior of parts obtained by fused deposition modeling (FDM) in case short fiber composite materials, Mean-field homogenization procedure, introduced linear elasticity, is here extended thermo-viscoelasticity. The variation parameters describing state fibers inside printing filament represented introducing appropriate distribution functions through statistical ...