ABSTRACT We examine the equilibrium of a magnetized neutron star crust. calculate axially symmetric models in which an elastic force balances solenoidal motion driven by Lorentz force. A large variety are allowed incorporating shear deformation; addition, toroidal-magnetic-field-dominated available. These results remarkably differ from those barotropic fluid stars. demonstrate some wherein magn...

The bodies of the Solar System exist in a variety of irregular shapes. Studies of those shapes are conducted to infer information about the internal composition, structure, and history of those bodies. However, such inferences require knowing how the composition and structure or history relates to the shape and internal forces. That connection is known only for fluid bodies, where the permissib...

The elastic behavior and stability of elemental crystals are studied in the neighborhood of a stable equilibrium state, also called a phase, at finite pressure p. It is shown that two kinds of elastic constants are needed to describe elasticity under pressure. One set, designated as c(ij),i,j = 1-6, determines stability or lack of it; another set, designated as c(ij)(p), describes the linear re...

A boundary integral method is introduced to study the dynamics of the morphological evolution of a three-dimensional, coherent precipitate in an infinite, elastic matrix. The precipitate evolves diffusionally in which the precipitate– matrix interface satisfies a generalized Gibbs–Thomson boundary condition, accounting for surface energy, elastic and interface kinetic energy. Elastically homoge...

This paper discusses a problem in which  decentralized supply chains enter the market simultaneously with no existing rival chains, shape the supply chains’ networks, and set wholesale and retail prices in a noncooperative manner. All the chains produce either identical or highly substitutable products. Customer demand is elastic and price-dependent. A three-step algorithm is proposed to solve ...

in this paper, asymmetric buckling analysis of functionally graded (fg) circular plates with temperature dependent property that subjected to the uniform radial compression and thermal loading is investigated. this plate is on an elastic medium that simulated by winkler and pasternak foundation. mechanical properties of the plate are assumed to vary nonlinearly by temperature change. the equili...

In this paper we study the concepts of equilibrium and optimum in static transportation networks with elastic and non-elastic demands. The main mathematical tool of our paper is the theory of variational inequalities. We demonstrate that this theory is useful for proving the existence theorems. It also can justify Beckmann’s formulation of the equilibrium problem. The main contribution of this ...