Surface Loading over a Transversely Isotropic and Multilayered System with Imperfect Interfaces: Revisit Enhanced by the Dual-Boundary Strategy

2018 ◽  
Vol 18 (6) ◽  
pp. 04018032 ◽  
Author(s):  
Yingchun Cai ◽  
Ernian Pan
Keyword(s):  
Transversely Isotropic ◽  
Surface Loading ◽  
Imperfect Interfaces ◽  
Multilayered System

Anti-plane time-harmonic Green’s functions for a coated circular inhomogeneity in a piezoelectric medium with spring- or membrane-type imperfect interfaces

2016 ◽  
Vol 22 (9) ◽  
pp. 1813-1846 ◽  
Author(s):  
Yin Shi ◽  
Yongping Wan ◽  
Zheng Zhong
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Transversely Isotropic ◽  
Piezoelectric Medium ◽  
Two Phase ◽  
Imperfect Interfaces ◽  
Time Harmonic ◽  
Special Cases ◽  
Circular Inhomogeneity ◽  
Membrane Type

Two-dimensional anti-plane time-harmonic dynamic Green’s functions for a coated circular inhomogeneity in an infinitely extended matrix with spring- or membrane-type imperfect interfaces are presented. The inhomogeneity, coating and matrix are all assumed to be piezoelectric and transversely isotropic. By using the Bessel function expansions, explicit solutions for the electromechanical fields induced by a time-harmonic anti-plane line force and line charge located in the unbounded matrix, the annular coating and the circular inhomogeneity are derived. The present solutions can recover the anti-plane Green’s functions for some special cases, such as the dynamic or quasi-static Green’s functions of piezoelectricity with perfect interfaces, as well as the dynamic or quasi-static Green’s functions for a two-phase composite with perfect or imperfect interfaces. By means of detailed discussions, selected calculated results are graphically shown to demonstrate the dependence of the electromechanical fields on the circular frequency and the interface properties as well as the coating and size of the inclusion.

A Refined Theory of Axisymmetric Thermoelastic Circular Cylinder with Transversely Isotropic

2012 ◽  
Vol 622-623 ◽  
pp. 1611-1615
Author(s):  
Di Wu ◽  
Bao Sheng Zhao
Keyword(s):  
Circular Cylinder ◽  
Radial Direction ◽  
Ad Hoc ◽  
Transversely Isotropic ◽  
Approximate Solutions ◽  
Refined Theory ◽  
Surface Loading ◽  
Refined Equation ◽  
Exact Temperature ◽  
Approximate Equations

For analyzing the exact stress field, the exact displacement field and the exact temperature field in axisymmetric thermoelastic circular cylinder with transversely isotropic, the refined theory of an axisymmetric circular cylinder was researched. Without ad hoc assumptions, the refined equation of an axisymmetric thermoelastic circular cylinder with transversely isotropic was obtained, which yields Bessel's function and the solution of the cylinder directly from the general solution. By dropping terms of high order, the approximate solutions are derived for a circular cylinder under radial direction surface loading. At last, we study the approximate equations with the temperature effect.

The Refined Analysis of Axisymmetric Transversely Isotropic Cylinder under Radial Direction Surface Loading

2012 ◽  
Vol 198-199 ◽  
pp. 212-215 ◽  
Author(s):  
Bao Sheng Zhao ◽  
Di Wu
Keyword(s):  
Approximate Solution ◽  
General Solution ◽  
Stress Field ◽  
Radial Direction ◽  
Transversely Isotropic ◽  
Axisymmetric Deformation ◽  
Surface Loading ◽  
Isotropic Cylinder ◽  
Independent Variables ◽  
Transversely Isotropic Cylinder

In this paper, the axisymmetric deformation of one cylinder with transversely isotropic is researched. According to the general solution of deformation body with transversely isotropic and the Lur’e method, the exact deformation field and exact stress field are represented by unknown functions with single independent variables. Based on boundary conditions of radial direction surface loading, the unknown functions can be ascertained. By dropping terms of high order, the approximate solution is derived, and the department field and the stress field for a circular cylinder under radial direction surface loading can be obtained. After simplifying, the states with isotropic can be obtained.

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