کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
278595 | 1430295 | 2011 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Ellipsoidal anisotropy in linear elasticity: Approximation models and analytical solutions Ellipsoidal anisotropy in linear elasticity: Approximation models and analytical solutions](/preview/png/278595.png)
The concept of ellipsoidal anisotropy, first introduced in linear elasticity by Saint Venant, has reappeared in recent years in diverse applications from the phenomenological to micromechanical modeling of materials. In this concept, indicator surfaces, which represent the variation of some elastic parameters in different directions of the material, are ellipsoidal. This concept recovers different models according to the elastic parameters that have ellipsoidal indicator surfaces. An interesting feature of some models introduced by Saint Venant is the formation of analytical solutions for basic problems of linear elasticity. This paper has two main objectives. First, an accurate definition of the variety of anisotropy called ellipsoidal is provided, which corresponds to a family of materials that depends on 12 independent parameters, including varieties of orthotropic and non-orthotropic materials. An explicit nondegenerate Green function solution is established for these materials. Then, it is shown that the ellipsoidal model recovers a variety of phenomenological and theoretical models used in recent years, specifically for geomaterials and damaged or micro-cracked materials. These models can be used to approximate the elastic parameters of any anisotropic material with different fitting qualities. A method to optimize the parameters will be given.
Journal: International Journal of Solids and Structures - Volume 48, Issues 14–15, July 2011, Pages 2245–2254