| 岩土工程分析中的非协调模型及其应用 |
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| 引用本文： | 邵国建,苏静波.岩土工程分析中的非协调模型及其应用[J].岩土力学,2004,25(8):1195-1200. |
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| 作者姓名： | 邵国建 苏静波 |
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| 作者单位： | 河海大学 土木工程学院，江苏 南京 210098 |
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| 摘 要： | 针对岩土及地下工程结构的特点，基于修整后的位移型Reissner泛函中引入独立转动场的变分原理，转动场采用结点真实转角来插值。结合平面四结点单元讨论了有效附加非协调位移的合理形式，引入适用于任何四边形单元的非协调位移函数，建立了一种带转动自由度的平面四结点内参型非协调元模型，给出了相关数值计算列式。四结点单元能通过分片检验，并易于与带转动自由度的梁单元相容，对若干算例及地下隧洞工程实例计算的数值结果表明，采用所建的计算模型，具有较高的计算精度，为岩土及地下工程结构计算提供了一种理想的数值分析方法。
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| 关 键 词： | 非协调元 转动自由度 分片检验 岩土工程 |
| 文章编号： | 1000-7598-(2004)08-1195-06 |
| 收稿时间： | 2003-09-26 |
| 修稿时间： | 2003年9月26日 |
Incompatible model and its application to geotechnical engineering analysis |
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| SHAO Guo-jian,SU Jing-bo.Incompatible model and its application to geotechnical engineering analysis[J].Rock and Soil Mechanics,2004,25(8):1195-1200. |
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| Authors: | SHAO Guo-jian SU Jing-bo |
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| Institution: | College of Civil Engineering, Hohai University, Nanjing 210098, China |
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| Abstract: | According to the characteristics of geotechnical and underground engineering structures, the variational principle employing modified Reissner functional into which independent rotation field has been introduced. The rotation field is interpolated by true rotation at each node. The rational type of incompatible fields of 4-node element is discussed. The incompatible displacement functions being suitable for arbitrary quadrilateral element are denoted. An internal parameter type incompatible element with rotational degrees of freedom is established and the numerical computation formulae are developed. The element of this paper is proved to pass the patch test. The compatibility with beam elements with rotation freedoms can be easily made. From the computational examination questions as well as the underground tunnel engineering example, it is shown that the numerical results by using the computation model of this paper have good accuracy. A perfect numerical method is developed for analyses and computations of geotechnical and underground engineering structures. |
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| Keywords: | incompatible rotational freedom patch test geotechnical engineering |
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