Abstract
The general Hoyle-Youngdahl and Love solutions in the three-dimensional theory of inhomogeneous linear elastic materials are proposed. Following a brief historical outline of various general solutions existing in the classical linear elasticity of homogeneous isotropic media, key steps of the derivation of the Hoyle-Youngdahl and Love solutions are presented. The procedure is then generalized to the case of inhomogeneous elastic materials with elastic constants depending on the z-coordinate. The significance of the solutions and their relevance to modeling of functionally graded materials is discussed in brief.
| Original language | English |
|---|---|
| Pages (from-to) | 1-17 |
| Number of pages | 17 |
| Journal | International Applied Mechanics |
| Volume | 46 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jul 2010 |
Keywords
- linear elasticity
- three-dimensional theory
- inhomogeneous media
- isotropic material
- general solution
- Hoyle-Youngdahl solution
- Love's function
- functionally graded materials