Dynamic responses of a functionally graded pyroelectric hollow sphere for spherically symmetric problems

2003 ◽  
Vol 45 (6-7) ◽  
pp. 1029-1051 ◽  
Author(s):  
H.J. Ding ◽  
H.M. Wang ◽  
W.Q. Chen
Keyword(s):  
Hollow Sphere ◽  
Functionally Graded ◽  
Dynamic Responses ◽  
Spherically Symmetric

scholarly journals Spherically Symmetric Tensor Fields and Their Application in Nonlinear Theory of Dislocations

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 830
Author(s):  
Evgeniya V. Goloveshkina ◽  
Leonid M. Zubov
Keyword(s):  
Nonlinear Theory ◽  
Hollow Sphere ◽  
Tensor Field ◽  
Exact Analytical Solution ◽  
Symmetric Tensor ◽  
Symmetric Distribution ◽  
Spherically Symmetric ◽  
Tensor Fields ◽  
Spherically Symmetric Distribution ◽  
Nonlinear Elastic

The concept of a spherically symmetric second-rank tensor field is formulated. A general representation of such a tensor field is derived. Results related to tensor analysis of spherically symmetric fields and their geometric properties are presented. Using these results, a formulation of the spherically symmetric problem of the nonlinear theory of dislocations is given. For an isotropic nonlinear elastic material with an arbitrary spherically symmetric distribution of dislocations, this problem is reduced to a nonlinear boundary value problem for a system of ordinary differential equations. In the case of an incompressible isotropic material and a spherically symmetric distribution of screw dislocations in the radial direction, an exact analytical solution is found for the equilibrium of a hollow sphere loaded from the outside and from the inside by hydrostatic pressures. This solution is suitable for any models of an isotropic incompressible body, i. e., universal in the specified class of materials. Based on the obtained solution, numerical calculations on the effect of dislocations on the stress state of an elastic hollow sphere at large deformations are carried out.

scholarly journals Dynamic responses and energy absorption of hollow sphere structure subjected to blast loading

2019 ◽  
Vol 181 ◽  
pp. 107920 ◽  
Author(s):  
Fan Tang ◽  
Yanlong Sun ◽  
Zerong Guo ◽  
Wensu Chen ◽  
Mengqi Yuan
Keyword(s):  
Energy Absorption ◽  
Hollow Sphere ◽  
Blast Loading ◽  
Dynamic Responses

Effect of Microstructure and Surface Energy on the Static and Dynamic Characteristics of FG Timoshenko Nanobeam Embedded in an Elastic Medium

2020 ◽  
Vol 61 ◽  
pp. 97-117 ◽  
Author(s):  
Rabab A. Shanab ◽  
Mohamed A. Attia ◽  
Salwa A. Mohamed ◽  
Norhan Alaa Mohamed
Keyword(s):  
Elastic Medium ◽  
Dynamic Characteristics ◽  
Mass Density ◽  
Surface Elasticity ◽  
Functionally Graded ◽  
Dynamic Responses ◽  
Axial Deformation ◽  
Residual Surface Stress ◽  
Surface Mass ◽  
Static And Dynamic Characteristics

This paper presents an investigation of the size-dependent static and dynamic characteristics of functionally graded (FG) Timoshenko nanobeams embedded in a double-parameter elastic medium. Unlike existing Timoshenko nanobeam models, the combined effects of surface elasticity, residual surface stress, surface mass density and Poisson’s ratio, in addition to axial deformation, are incorporated in the newly developed model. Also, the continuous gradation through the thickness of all the properties of both bulk and surface materials is considered via power law. The Navier-type solution is developed for simply supported FG nanobeam in the form of infinite power series for bending, buckling and free vibration. The obtained results agree well with those available in the literature. In addition, selected numerical results are presented to explore the effects of the material length scale parameter, surface parameters, gradient index, elastic medium, and thickness on the static and dynamic responses of FG Timoshenko nanobeams.

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