| 等压圆洞的弹塑性随机场 |
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| 引用本文： | 袁勇,李焯芬.等压圆洞的弹塑性随机场[J].同济大学学报(自然科学版),1997,25(2):189-194. |
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| 作者姓名： | 袁勇 李焯芬 |
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| 作者单位： | [1]同济大学建筑工程系 [2]香港大学土木与结构工程系 |
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| 摘 要： | 研究了弹塑性介质的随机应力场和位移场，根据随机微分方程的基本理论，导出圆形洞室轴对称条件下，介质服从随机Ｄｒｕｃｋｅｒ－Ｐｒａｎｇｅｒ屈服函数的塑性区随机应力场，以及弹塑性机位移场，并采用二阶展开式探讨了随机场的一阶，二阶矩特征。
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| 关 键 词： | 工程力学 弹性 塑性 随机场 圆洞 拟解析解 |
Analysis of Elasto-plastic Stochastic Field of a Circular Opening |
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| Yuan Yong.Analysis of Elasto-plastic Stochastic Field of a Circular Opening[J].Journal of Tongji University(Natural Science),1997,25(2):189-194. |
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| Authors: | Yuan Yong |
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| Abstract: | This paper studies the stochastic stress field and displacement field ofrandom elastoplastic media. From the basic concepts of random partial differentialequations, solutions to the random plastic stress field, random elastic sttess fieldand random displacement field of a circular opening under symmetric conditionhave been deduced analytically. Meanwhile, the second-order accuracy expan-sions of these stochastic fields have been used to deal with the characteristics oftheir first - moment and second - moment. |
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| Keywords: | Elastoplastic Stochastic field Circular opening Analytic solution |
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