Stability Of Thin Shells Research Articles

Impact of charged and quantum-correction on the dynamics of scalar shell surrounded by Kiselev black hole

The objective of this study is to investigate the geometric configurations of a thin-shell in the framework of quantum-corrected charged Kiselev black holes. In order to do this, a cut and paste technique is employed to align the inner Minkowski spacetime with the black hole solutions under consideration. Our research explores the effects of quantum-correction on the stability of thin-shell using linearized radial perturbation method incorporating the phantomlike equation of state such as quintessence. This approach allows for the identification of stable configurations of the thin-shell situated beyond the expected location of the event horizon in the exterior manifold. Moreover, it is evident that the stability of the thin-shell is significantly dependent on the parameters associated with the black hole solutions. In this study, we investigate the dynamics of the thin-shell configuration using Klein–Gordon’s equation of motion, including both massive and massless scalar fields. The results of our study suggest that the presence of the scalar field has a significant impact on the behavior of the thin-shell, resulting in notable phenomena such as expansion and collapse. The aforementioned results provide valuable insights into the behavior of black hole solutions by examining the dynamics of thin-shells in relation to quantum-correction parameters involving scalar fields. In summary, it is observed that the presence of a quantum-correction parameter has the effect of reducing the stable configuration of a Kiselev black holes.

Stability and dynamics of scalar field thin-shell for renormalization group improved Schwarzschild black holes

In this paper, our main concern is to obtain the geometrical structure of a thin-shell through the match of inner flat and outer the renormalization group improved Schwarzschild black hole through a well-known cut and paste approach. Then, we are interested to discuss the dynamical configuration of thin-shell composed of a scalar field (massive and massless) through an equation of motion and Klein–Gordon’s equation. Finally, the stable configuration of thin-shell is observed through the linearized radial perturbation approach about equilibrium shell radius with a phantomlike equation of state, i.e., quintessence, dark energy, and phantom energy. It is noted that stable/unstable behavior of thin-shell is found after the expected position of the event horizon of an exterior manifold. It is concluded that the stability of a thin-shell is greater for the choice of Schwarzschild black hole as compared to the renormalized group of improved Schwarzschild black holes.

A comparative study of new generic wormhole models with stability analysis via thin-shell

This analysis is devoted to exploring the interesting aspects of wormhole geometry. The energy conditions are checked for two different new generic shape functions, which satisfy the required wormhole properties. The presence of exotic matter is confirmed due to the violation of the energy conditions in the background of f(R, T) gravity as well as in the general relativity case. The traversable wormholes respecting the null energy conditions can be realized in both considered frameworks. A thin-shell around a wormhole geometry with two different generic shape functions is obtained by using the cut and paste approach taking Schwarzschild spacetime as an exterior manifold. The stability of thin-shell is explored with linearized perturbation along the equilibrium shell radius. Stable regions and the position of the expected event horizon depend on the choice of physical parameters. It is concluded that the number of expected event horizons increases for the second shape function.

New wormhole models with stability analysis via thin-shell in teleparallel gravity

This study explores new wormhole solutions in the background of teleparallel gravity. All the energy conditions are investigated for two different new calculated shape functions. The presence of exotic matter is confirmed due to the violation of the energy conditions. Thin-shell around the wormhole geometry is obtained by using the cut and paste approach taking the Schwarzschild black hole as an exterior manifold. The stability of thin-shell is explored by using linearized radial perturbation about equilibrium shell radius for both choices of calculated shape functions. It is concluded that stable regions and the position of the expected event horizon depend on the choice of physical parameters.

Epicyclic frequencies and stability of thin shell around the traversable phantom wormholes in Rastall gravity

Epicyclic frequencies and stability of thin shell around the traversable phantom wormholes in Rastall gravity

Charged thin-shell wormholes in f(R) gravity

In this paper, the charged thin-shell wormholes have been constructed by using cut-and-paste approach in the framework of [Formula: see text] theory of gravity. The stability analysis is performed in [Formula: see text] gravity formalism, where [Formula: see text] and [Formula: see text] are nonzero constants, with a linear equation of state. The stable and unstable regions have been examined for different values of the parameters involved in the model. The effect of charge and mass on the throat radius is analyzed and stability of thin shell is obtained.

Mechanical stability of a class of regular thin-shell wormholes

This paper explores the stable configuration of thin-shell wormholes constructed from two regular black holes (modified Hayward and four parametric) by using Visser cut and paste approach. The components of stress-energy tensor are evaluated through the Lanczos equations. We analyze the stability of thin-shell by using radial perturbation preserving its symmetries about equilibrium static solution. It is found that modified Hayward wormholes are more stable than the Hayward wormholes. Further, the stable regions of four parametric regular wormholes are larger than the Schwarzschild, Reissner–Nordström and Ayón–Beato–García wormholes. We conclude that stable region decreases for highly charged thin-shell wormholes.

Stability of charged Kiselev thin-shell wormholes

This work is devoted to exploring the stability of thin-shell wormholes developed from two equivalent copies of charged quintessence (charged Kiselev) black holes by using Visser cut and paste approach. The characteristics of the surface matter of the shell are determined by using Israel formalism. We examine the stability of thin-shell by assuming a barotropic equation of state for the surface matter of the wormhole throat. We conclude that wormhole becomes stable in the presence of both charge and Kiselev parameter otherwise, it shows an unstable behavior.

Stability of Einstein-power-Maxwell (2+1)-dimensional wormholes

This paper is devoted to the study of stable and unstable geometrical structures of charged thin-shell wormholes constructed from Einstein-power-Maxwell black holes by using Visser cut and paste approach. We use Israel thin-shell formalism to evaluate the stress-energy tensor components of matter distribution located at the wormhole throat. The stability of thin-shell is investigated by using equations of state (phantom-like and generalized Chaplygin gas model) for exotic matter and radial perturbation about equilibrium throat radius. We conclude that stable regions increase by increasing the charge parameter.

Geometrically nonlinear finite-element models for thin shells with geometric imperfections

A finite-element method to analyze the stress–strain state and stability of thin shells with geometric imperfections is proposed. An arbitrary curvilinear finite element with vector approximation of the displacement function is used. To solve the systems of nonlinear algebraic equations by iteration methods, linearized stiffness matrices of finite elements and residual and load vectors are formed. The stress–strain state of a thin-walled shell with real geometric imperfections under surface pressure and axial compression is analyzed. The effect of geometric imperfections on the critical combination of loads is evaluated

Geometric methods in the theory of stability of thin shells (review)

Geometric methods in the theory of stability of thin shells (review)

Excitation and amplification of cavity oscillations in spherically converging shells.

The stability of thin shells under arbitrary radial motions can be described by the evolution of two independent surface modes for the inside and outside shell boundaries. The evolution equations can be consistently decoupled for all mode numbers, and specific solutions for ballistic and accelerated shell motions are discussed. They show strong dependences on initial conditions and can explain significant amplification for low mode numbers by interference effects. The theory is applied to the excitation of cavity modes in accelerated high-aspect-ratio shells. By comparison with numerical solutions for the full shell equations, the validity of the analytic predictions is confirmed and the saturated oscillation amplitudes after acceleration can be estimated. The further amplification of these modes by convergence and deceleration effects is discussed and potential inertial confinement fusion applications are illustrated by a simple implosion model.

On the Derivation of Parametric Terms in the Equations of Elastic Stability of Thin Shells

In this paper, the parametric terms in the equations of elastic stability of thin shells will be derived in a way that appears to be simpler than those found in the literature. The result matches the solution given by Bolotin in 1967 but has been obtained by avoiding the energy functional of thin shell theory. The parametric terms account for the influence of prebuckling loads, membrane forces and their derivatives and are therefore of some significance in formulating the comprehensive stability equations for a variety of shell geometries.

Stability of thin shells with cutouts (review). Part 2

Stability of thin shells with cutouts (review). Part 2

One-dimensional problems in the stability of thin shells

Algebraic conditions, sufficient for the infinitestimal stability of elastic shells in the class of one-dimensional perturbations from homogeneous ground states, are considered. A necessary and sufficient condition for superstability is also deduced.

Taking account of the rotation of a surface load during loss of stability of thin shells

Taking account of the rotation of a surface load during loss of stability of thin shells

Theory of limit equilibrium of bimetallic shells of revolution and circular plates

Bimetallic shells and plates are widely used in technology (see [1, 2]). An investigation into the flexure and stability of thin shells and various types of loading within the limits of elasticity has been carried out in [3]. An investigation into the load-carrying capacity of cylindrical bimetallic shells made of materials which equally resist tension and compression was carried out in [4]. In many cases the materials of the base and plating layers of bimetallic constructions possess substantially different plastic resistance under tension and compression [5]. The given paper is devoted to the investigation of the load-carrying capacity of bimetallic axisymmetric shells which are made of materials that have different resistances to tension and compression; it is also devoted to the assessment of their economy in comparison with homogeneous shells.

On The Elastic Stability of Thin Shells

ABSTRACT A general method for The evaluation of the effect of shape imperfections on the buckling strength of thin shells and thin-shell-like structures is presented. At first the prebuckiing equilibrium state of the structure is determined by means of power series expansions in the magnitude of the shape imperfection. Then the buckling load is determined by means of the classical theory of stability. The method requires the solution of only linear equations with linear boundary conditions. It is equally well applicable to any pattern of shape imperfections and can give an estimate of the accuracy of the evaluation.