stresses and displacements in functionally graded materials of semi-infinite extent induced by rectangular loadings

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ID: 191615
2012
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Abstract
This paper presents the stress and displacement fields in a functionally graded material (FGM) caused by a load. The FGM is a graded material of Si3N4-based ceramics and is assumed to be of semi-infinite extent. The load is a distributed loading over a rectangular area that is parallel to the external surface of the FGM and either on its external surface or within its interior space. The point-load analytical solutions or so-called Yue’s solutions are used for the numerical integration over the distributed loaded area. The loaded area is discretized into 200 small equal-sized rectangular elements. The numerical integration is carried out with the regular Gaussian quadrature. Weak and strong singular integrations encountered when the field points are located on the loaded plane, are resolved with the classical methods in boundary element analysis. The numerical integration results have high accuracy.
Reference Key
yue2012materialsstresses Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Zhong-Qi Yue;Hong-Tian Xiao
Journal Nature Materials
Year 2012
DOI
10.3390/ma5020210
URL
http://www.mdpi.com/1996-1944/5/2/210/
Keywords
elasticity functionally graded materials stress analysis electronics civil engineering (general)microscopydescriptive and experimental mechanics nuclear engineeringengineering (general)

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