Effective modulus of composite materials with interface stress
| Autor: | Jian-Zhong Yu, 余健忠 |
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| Rok vydání: | 2005 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 93 The main purpose of this thesis is to explore the effective modulus of composite materials incorporating the effects of surface/interface stress. We first outline the physical interpretation of the interface effect and the potential aspects of the application. Secondly, we use the method of calculus of variations to obtain the equilibrium equation of the admissible displacements, the mechanics behavior at the interface and natural transition conditions. Thirdly, Eshelby formula together with the average theorem are employed to investigate how the surface stress and surface energy of the spherical and cylindrical composite materials influence effective bulk modulus, effective shear modulus and thermal conductivity. In the absence of the interface effect, we show that the effective modulus reduce exactly to the corresponding solution with perfect bounding interfaces. Finally, numerical simulation are illustrated to demonstrate the relation between the interface effect and effective modulus. We find that the interface effect and the radii of the inclusion dramatically influence the over behavior as well as the local fields. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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