An advanced boundary element method (BEM) is developed in this paper for analyzing thin layered structures, such as thin films and coatings, under the thermal loading. The boundary integral equation (BIE) formulation for steady-state thermoelasticity is reviewed and a special case, that is, the BIE for a uniform distribution of the temperature change, is presented. The new nearly-singular integ...

We consider a thin elastic sheet adhering to a stiff substrate by means of the surface tension of a thin liquid layer. Debonding is initiated by imposing a vertical displacement at the centre of the sheet and leads to the formation of a delaminated region, or ‘blister’. This experiment reveals that the perimeter of the blister takes one of three different forms depending on the vertical displac...

We investigate theoretically ferroelastic domain fractions in a heteroepitaxial bilayer consisting of 001 tetragonal PbZrxTi1−xO3 and 001 rhombohedral PbZr1−xTixO3 on a thick 001 passive substrate as a function of the lattice misfit strain between layers and the substrate. By considering the self-strain in each layer and the indirect elastic interaction between the layers, we provide a numerica...

We consider a thin elastic sheet adhering to a stiff substrate by means of the surface tension of a thin liquid layer. Debonding is initiated by imposing a vertical displacement at the centre of the sheet and leads to the formation of a delaminated region, or ‘blister’. This experiment reveals that the perimeter of the blister takes one of three different forms depending on the vertical displac...

In this paper we assume determination of pseudo-viscosity coefficients of visco-elastic non-Newtonian fluid flow directly near the cooperating micro-bearing surface. We show the constitutive stress-strain dependencies of nonNewtonian visco-elastic media with regard to the content of addition of nano-particles. The greater content of nano-particles and influences of superficial layer of cooperat...

this paper aims to assess the application of support vector machine (svm) regression in order to analysis flexible pavements. to this end, 10000 four-layer flexible pavement sections consisted of asphalt concrete layer, granular base layer, granular subbase layer, and subgrade soil were analyzed under the effect of standard axle loading using multi-layered elastic theory and pavement critical r...

due to high surface-to-volume ratio of nanoscale structures, surface stress effects have a significant influence on their behavior. in this paper, a two-dimensional problem for an elastic layer that is bonded to a rigid substrate and subjected to an inclined concentrated line load acting on the surface of the layer is investigated based on gurtin-murdoch continuum model to consider surface stre...

A homogenization framework is developed that accounts for the effect of size at the microor nanoscale. This is achieved by endowing the interfaces of the microor nanoscopic features with their own independent structure, using the theory of surface elasticity. Following a standard small-strain approach for the microscopic deformation in terms of the macroscopic strain tensor, a Hill-type averagi...

A low-frequency ultrasonic method presented in this paper is suitable for measuring any one of the four characteristic parameters, i.e., thickness, density, shear, and longitudinal wave velocities, of a thin elastic layer given the remaining three. Thickness of the thin layer is much smaller than the longitudinal wavelength of the ultrasonic wave used in the experiments. The method employs the ...