The application of radial basis point interpolation function in solving the diffusion of concrete structure
碩士 === 逢甲大學 === 土木工程所 === 96 === Concrete is the most widely used material in civil engineering. In order to shorten the project time for reducing the manpower cost, it is necessary to develop some techniques to reduce the concrete curing time. While in shortening the curing time, the environmental...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2008
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| Online Access: | http://ndltd.ncl.edu.tw/handle/42949164946074895010 |
| Summary: | 碩士 === 逢甲大學 === 土木工程所 === 96 === Concrete is the most widely used material in civil engineering. In order to shorten the project time for reducing the manpower cost, it is necessary to develop some techniques to reduce the concrete curing time. While in shortening the curing time, the environmental humidity is a key factor influencing the strength development of concrete structures. For instance, the strength of a concrete specimen under field curing condition is less than a concrete specimen under water curing condition. During the concrete curing process, the diffusion effect of water will change the inside moisture profile of a concrete structure and finally the specimen’s humidity will equilibrate with the environmental humidity.
Regarding the humidity distribution in the concrete, we often adopt the theoretical solution as the basis. This research applies a new meshless numerical method to analyze the humidity profile of a concrete specimen under fixed environmental humidity. A radial basis interpolation method is used to set up the approximate function and the least-square weighted method is applied in solving the concrete diffusion question. The properties of the radial basis interpolation method is investigated in the first part. A radial basis interpolation method in conjunction with the least-square weighted method is adopted to solve a one-dimensional Poisson problem. Finally this new meshless method is applied in solving the concrete humidity diffusion equation to simulate the humidity distribution in a concrete structure at different ages. The precision and range for suitable shape parameters R and q of the radial basis interpolation method is evaluated through the magnitude of condition number and error estimator.
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