The Three-Dimensional Infinite Space and Half-Space Green's Functions for Orthotropic Materials
| العنوان: | The Three-Dimensional Infinite Space and Half-Space Green's Functions for Orthotropic Materials |
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| المؤلفون: | Ven-Gen Lee |
| المصدر: | Journal of Mechanics. 31:21-28 |
| بيانات النشر: | Oxford University Press (OUP), 2014. |
| سنة النشر: | 2014 |
| مصطلحات موضوعية: | Applied Mathematics, Mechanical Engineering, Free surface, Mathematical analysis, Boundary value problem, Function (mathematics), Term (logic), Half-space, Condensed Matter Physics, Orthotropic material, Space (mathematics), Domain (mathematical analysis), Mathematics |
| الوصف: | Common materials, ranging from natural wood to modern composites, have been recognized as ortho-tropic materials. The elastic properties of such materials are governed by nine elastic constants. In this paper the complete set of Green's functions for an infinite medium and a half space is given, which were not reported completely before. Analytic expressions for the infinite Green's functions are derived through the explicit form of the sextic equation given explicitly. For an orthotopic half space, the Green's function is derived by a superposition method. The mathematical concept is based on the addition of a complementary term to the Green's function in an orthotropic infinite domain to fulfill the boundary condition on the free surface. Both solutions are illustrated in certain directions to demonstrate the nature of orthotropy. |
| تدمد: | 1811-8216 1727-7191 |
| DOI: | 10.1017/jmech.2014.36 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::55a17aeb3424874bc885c3278eab4888 https://doi.org/10.1017/jmech.2014.36 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi...........55a17aeb3424874bc885c3278eab4888 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 18118216 17277191 |
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| DOI: | 10.1017/jmech.2014.36 |