Abstract
The paper presents an analytical solution for inhomogeneous strain and stress distributions within solid spheres of Si1 - x Gex alloy under diametrical compression. The method of solution employs the displacement function approach together with Fourier-Legendre expansion technique. The classical solution for isotropic spheres under the point loads is recovered as a special case. Numerical results show that the anisotropy of Si1 - x Gex alloy causes increase of radial compressive strain and decrease of the tensile hoop strain along the axis of loading. It is interesting that the special anisotropy of Si1 - x Gex gives an axisymmetric stress-strain state in a solid sphere under point loading.
Original language | English |
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Pages (from-to) | 682-689 |
Number of pages | 8 |
Journal | Mechanics Research Communications |
Volume | 36 |
Issue number | 6 |
DOIs | |
Publication status | Published - Sept 2009 |
Keywords
- Diametrical compression
- Inhomogeneous strain
- Si Ge alloy
- Solid spheres