Steady State Potential Fields of a Matrix Containing a Multicoated Spheroid
碩士 === 國立成功大學 === 土木工程學系碩博士班 === 94 === In this thesis we first make a description of two curvilinear orthogonal coordinates: prolate and oblate spheroidal coordinates. We review the detailed derivation procedures for the metric coefficients, scale factors and the governing equation for the Laplace...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2006
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| Online Access: | http://ndltd.ncl.edu.tw/handle/22307019871735995496 |
| Summary: | 碩士 === 國立成功大學 === 土木工程學系碩博士班 === 94 === In this thesis we first make a description of two curvilinear orthogonal coordinates: prolate and oblate spheroidal coordinates. We review the detailed derivation procedures for the metric coefficients, scale factors and the governing equation for the Laplace equation. By using these coordinates and boundary conditions, the general solution of steady state temperature field for a spheroidal inclusion in an infinite matrix is examined. The same boundary value problem is also considered for a multicoated spheroidal inclusion in an unbounded matrix. We find the recursion relation for the general solution by incorporating the effects of multiple coatings with different constituent properties and volume fraction. The general solutions for these two different coordinates are compared. Finally, we propose a concept of neutral inclusion for modeling the imperfect interface between the inclusion and the matrix.
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