Abstract In this article, axisymmetric deformations of coupled functionally graded conical shells are studied. The analytical solution is presented by using the complex hypergeometric and Legendre polynomial series. results agree closely with reference for isotropic revolution. symbolic package Mathematica commands added to article help readers search particular solutions. detailed solutions tw...

Among the many problems of solid mechanics, there is a whole class that are related to inverse problems. In turn, among problems, ill-posed. Obtaining an exact analytical solution such certain mathematical difficulties and requires using special methods. Goal. The goal study obtain solutions for identification non-stationary load control vibrations cylindrical shell with asymmetric boundary con...

A d-dimensional spacetime is “axisymmetric” if it possesses an SO(d−2) isometry group whose orbits are (d−3)-spheres. In this paper, algebraically special, axisymmetric solutions of the higher dimensional vacuum Einstein equation (with cosmological constant) are investigated. Necessary and sufficient conditions for static axisymmetric solutions to belong to different algebraic classes are prese...

It is well known that most PDE problems defined over an axisymmetric domain can be efficiently solved by a Fourier based solution method. However, for many applications, the underlying computational domain is not entirely axisymmetric, but has one or several major axisymmetric subdomains. For such problems, an axisymmetric analysis method is not applicable, and a straightforward one can be inef...

The paper considers the natural oscillations of shell structures. In general, these structures are a set deformable elements with different rheological properties. An algorithm for solving viscoelastic dynamic problems has been developed complex axisymmetric physical properties structural described by linear Boltzmann-Voltaire relations integral difference cores. three-parameter core Rzhanitsyn...

Observational signatures of the circumstellar material (CSM) around Type Ia supernovae (SNe Ia) provide a unique perspective on their progenitor systems. The pre-supernova evolution SN progenitors may naturally eject CSM in most popular scenarios explosions. In this study, we investigate influence dust scattering light curves and polarizations SNe Ia. A Monte Carlo method is constructed to nume...

Damage constitutive models based on micromechanical formulation and a combination of micromechanical and macromechanical effects were developed by the authors to predict progressive damage in aligned and randomly oriented carbon fiber polymer composites. The models are extended in order to account for the microcrack effect on the mechanical behavior of the composites. Progressive interfacial fi...

Collapsars may be a source for the “long” Gamma Ray Bursts (GRBs) in the BATSE catalog. Collapsars may radiate gamma rays anisotropically by beamed jet emission close to the observer’s line of sight. These jets must penetrate the radiation-dominated medium of their collapsar progenitor and break through its atmosphere in order to produce a GRB. We present a study of previously published, axisym...