In this paper, unsteady flow of fractionalized Maxwell fluid over an inclined vertical plate is considered by using thermo diffusion and slip effects. The model solved Constant proportional Caputo fractional derivative. Initially, the governing equations are made non-dimensional then Laplace transform. To see impact different parameters on velocity, temperature concentration, we have drawn some...

The governing equations of an initially stressed, rotating and transversely isotropic thermoelastic solid permeated with magnetic field are solved for surface wave solutions. The appropriate particular solutions in the half-space satisfy the required boundary conditions at a thermally insulated stress free surface. A velocity equation is obtained for wave speed of thermo-elastic Rayleigh wave. ...

Based on the nonequilibrium thermodynamics, a thermo-hydro-mechanical coupling model for saturated soils is established, including a constitutive model without such concepts as yield surface and flow rule. An elastic potential energy density function is defined to derive a hyperelastic relation among the effective stress, the elastic strain, and the dry density. The classical linear non-equilib...

A finite element model is developed to study the transient thermo-mechanical contact between a rigid sphere and an elastic–plastic sphere. Interference and tangential displacement are applied to the rigid sphere while the elastic–plastic sphere is stationary. The radius of the rigid sphere is larger than that of the elastic–plastic sphere to model flattening. Universal solutions are obtained fo...

The application of the finite element method to the inelastic analysis of structures and continua has received considerable attention over the last fifteen years [ 1-21 ]. To a large extent, this effort has been motivated by the need to safety and economically predict material response under conditions of extreme mechanical and thermal loading. Some examples are the design and analysis of press...

In this paper, we introduce locally Lipschitz observation systems for nonlinear semigroups and show that they can be represented by an ‘admissible’ nonlinear output operator defined on a suitable subspace. In the semilinear case, this concept fits well to the Lebesgue extension known from linear system theory. Also in the semilinear case, we show robustness of exact observability near equilibri...

Cauchy Problem, II. Here we consider the case in which the second operator is symmetric. Assume B : D V is a linear monotone operator with domain D V , where V is a Hilbert space, and that A : V V is a continuous linear symmetric monotone operator. Denote Ž .1 2 the space V with the seminorm A , by V . Then the injection a V V is continuous, and we have V V . V is a Hilbert space, for a a a whi...

We investigate the optical and thermo-optical properties of amorphous TiO2–Al2O3 thin-film bilayers fabricated by atomic layer deposition (ALD). Seven samples of TiO2–Al2O3 bilayers are fabricated by growing Al2O3 films of different thicknesses on the surface of TiO2 films of constant thickness (100 nm). Temperature-induced changes in the optical refractive indices of these thin-film bilayers a...

Micro-cracking in polycrystalline Silicon is a serious concern for the durability of photovoltaic (PV) modules due to the resulting electrical power-loss. In this contribution, a thermo-mechanical cohesive zone model is proposed to predict the evolution of micro-cracks under the action of mechanical and thermal loads. The classical nonlinear cohesive zone approach, used in fracture mechanics to...

A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids is presented. The coupled thermo-mechanical boundary-value problem under consideration consists of the equilibrium problem for a deformable, inelastic and dissipative solid with the heat conduction problem appended in addition. The variational formulation allows for general dissipati...