The Thick Elastic Spherical Shell Under Concentrated Torques†

Axisymmetric Buckling of a Spherical Shell Embedded in an Elastic Medium under Uniaxial Stress at Infinity

The problem of a thin spherical linearly-elastic shell, perfectly bonded to an infinite linearly-elastic medium is considered. A constant axisymmetric stress field is applied at infinity in the matrix, and the displacement and stress fields in the shell and matrix are evaluated by means of harmonic potential functions. In order to examine the stability of this solution, the buckling problem of ...

Scattering of Longitudinal Elastic Waves From an Anisotropic Spherical Shell

Cell membrane wrapping of a spherical thin elastic shell.

Nanocapsules that can be tailored intelligently and specifically have drawn considerable attention in the fields of drug delivery and bioimaging. Here we conduct a theoretical study on cell uptake of a spherical nanocapsule which is modeled as a linear elastic solid thin shell in three dimensions. It is found that there exist five wrapping phases based on the stability of three wrapping states:...

The Effect of Temperature Dependency on the Thermo-Electro-Elastic Analysis of Functionally Graded Piezoelectric Spherical Shell

Results of electro-thermo-elastic analysis of a functionally graded thick-walled spherical shell made of temperature dependent materials are presented in this article. All material properties are assumed temperature-dependent and also are graded along the thickness direction based on power function. Temperature dependency is accounted for all material properties including, thermal, mechanical a...

Examining and calculation of non-classical in the solutions to the true elastic cable under concentrated loads in nanofilm

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...