This paper develops a model for evolving wrinkles in a bilayer thin film consisting of an elastic layer and a viscoelastic layer. The elastic layer is subjected to a compressive residual stress and is modeled by the nonlinear von Karman plate theory. A thin-layer approximation is developed for the viscoelastic layer. The stability of the bilayer and the evolution of wrinkles are studied first b...

In this paper, we analyze a few physical characteristics of gravastar with cylindrical geometry in $f(R,T)$ theory, where $R$ is the Ricci scalar and $T$ trace energy-momentum tensor. The generally considered to be substitute black hole three different regions. present work, examine formulation gravastar-like structures theory. By using Darmois Israel matching conditions, formulate mass functio...

This article examines the nonlinear vibrations of a thin-walled structure such as cylindrical shell interacting with ground. On basis seismodynamic theory underground structures, nature movement is revealed depending on stiffness coefficient and rheological properties soil, well frequency external influences. When solving specific problems, seismic waves in form sinusoid are considered. Nonline...

In this paper the recently developed semi-analytic method to solve the free-surface wave interaction with a thin elastic plate is extended to the case of a plate of finite thickness. The method used is based on the reformulation of the differential-integral equation for this problem. The thickness of the plate is chosen such that the elastic behavior of the plate can be described by means of th...

We study the lubrication of fluid-immersed soft interfaces and show that elastic deformation couples tangential and normal forces and thus generates lift. We consider materials that deform easily, due to either geometry e.g., a shell or constitutive properties e.g., a gel or a rubber , so that the effects of pressure and temperature on the fluid properties may be neglected. Four different syste...

The formulation and analytic solution of a new mathematical model with constitutive curvature for analysis tunnel ventilation shaft wall is proposed. Based on the Mindlin–Reissner theory thick shells, this also takes into account shell considers an expression shear correction factor variable (αn) in terms thickness (h) radius (R). main advantage proposed that it has possibility to analyze thin,...

The asymptotic behaviour of the smallest eigenvalue in linear Koiter shell problems is studied, as the thickness parameter tends to zero. In particular, three types of shells of revolution are considered. A result concerning the ratio between the bending and the total elastic energy is also provided, by using the general theory detailed in [2, 3].