| 非共轴本构模型的数值计算问题 |
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| 引用本文： | 杨蕴明,柴华友,韦昌富.非共轴本构模型的数值计算问题[J].岩土力学,2010,31(Z2):373-377. |
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| 作者姓名： | 杨蕴明 柴华友 韦昌富 |
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| 作者单位： | 中国科学院武汉岩土力学研究所 岩土力学与工程国家重点实验室，武汉 430071 |
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| 摘 要： | 应用角点非共轴本构模型结合有限元方法分析浅基础的受力沉降问题。当非共轴塑性模量较小时，包含非共轴模型子程序的ABAQUS的非线性计算可能不收敛。深入地分析表明，不收敛问题是由于在塑性变形刚开始时，非共轴的塑性应变增量明显大于共轴的塑性应变增量。为了克服数值不收敛问题，对原有的角点非共轴模型加以改进。在改进的模型中，非共轴塑性模量是累加塑性剪应变的函数。计算结果表明，这个改进的非共轴模型提高了非线性计算的收敛性，同时保持了原有非共轴模型的功能。
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| 关 键 词： | 非共轴 本构模型 数值积分 有限元法 |
| 收稿时间： | 2010-08-02 |
Numerical implementation of a yield vertex non-coaxial model |
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| YANG Yun-ming,CHAI Hua-you,WEI Chang-fu.Numerical implementation of a yield vertex non-coaxial model[J].Rock and Soil Mechanics,2010,31(Z2):373-377. |
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| Authors: | YANG Yun-ming CHAI Hua-you WEI Chang-fu |
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| Institution: | State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China |
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| Abstract: | This paper ascertains the reasons for the numerical non-convergence problem when the yield vertex non-coaxial model is implemented in the finite element analysis to predict the behaviour of a complicated geotechnical engineering problem, shallow foundation behaviour. It is found that a large non-coaxial influence at the start of elastoplastic loading, which causes the predominance of non-coaxial plastic strain rate over the coaxial plastic strain rate in stress-strain responses, is the reason for the numerical problem. The original yield vertex non-coaxial model is modified to overcome the numerical problem. It is shown that the modified non-coaxial model retains the functions of the original non-coaxial model. Meanwhile, it overcomes the non-convergence problem when a larger non-coaxial influence is considered. |
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| Keywords: | non-coaxial constitutive model numerical integration finite element method |
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