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Strain gradient elasticity solution for functionally graded micro-cylinders

Sadeghi, H ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijengsci.2011.09.006
  3. Publisher: 2012
  4. Abstract:
  5. In this paper, strain gradient elasticity formulation for analysis of FG (functionally graded) micro-cylinders is presented. The material properties are assumed to obey a power law in radial direction. The governing differential equation is derived as a fourth order ODE. A power series solution for stresses and displacements in FG micro-cylinders subjected to internal and external pressures is obtained. Numerical examples are presented to study the effect of the characteristic length parameter and FG power index on the displacement field and stress distribution in FG cylinders. It is observed that the characteristic length parameter has a considerable effect on the stress distribution of FG micro-cylinders. Also, increasing material length parameter leads to decrease of the maximum radial and tangential stresses in the cylinder. Furthermore, it is shown that the FG power index has a significant effect on the maximum radial and tangential stresses
  6. Keywords:
  7. Functionally graded materials ; Characteristic length ; Displacement field ; External pressures ; Fourth order ; Functionally graded ; Governing differential equations ; Material property ; Micro-cylinder ; Numerical example ; Power indices ; Power law ; Power series solutions ; Radial direction ; Series solution ; Strain gradient elasticity ; Tangential stress ; Cylinders (shapes) ; Differential equations ; Elasticity ; Elastohydrodynamics ; Strain measurement ; Stress concentration
  8. Source: International Journal of Engineering Science ; Volume 50, Issue 1 , January , 2012 , Pages 22-30 ; 00207225 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0020722511001935