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| Fast explicit integral algorithms with comparative studies for Shao-Zhu-Su?s rock rheological model |
| ZHU Qizhi1，2，ZHAO Lunyang1，2，LIU Haixu1，2，SHAO Jianfu1，2 |
| (1. Geotechnical Engineering Research Institute，Hohai University，Nanjing，Jiangsu 210098，China；2. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering，Hohai University，Nanjing，Jiangsu 210098，China) |
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Abstract Based on the analysis to the rheological model proposed by Shao-Zhu-Su for geomaterials，it was found that the traditional computational algorithm for solving the convolution integral had obvious shortcomings regarding the storage of time-dependent variables and computational efficiency. In this paper，a nonlinear explicit integral algorithm(NEIA) and a simplified linear explicit integral algorithm(LEIA) were developed with the help of mathematical transformation and Taylor expansion. The proposed algorithms were validated and compared through numerical creep tests and relaxation tests. Since the new method reduced significantly the number of variables to be stored and avoided the accumulation operation over loading history，its computational efficiency was improved remarkably and therefore more suitable for large-scale numerical analyses of rock structures. It is pointed out that the proposed numerical treatment is also applicable to other integral-type rheological models.
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2016, Vol. 35 
