Shao-Zhu-Su岩石流变模型的快速显式积分算法及比较研究  

Fast explicit integral algorithms with comparative studies for Shao-Zhu-Su′s rock rheological model

作　　者：朱其志[1,2] 赵伦洋 刘海旭[1,2] 邵建富[1,2] 

机构地区：[1]河海大学岩土工程科学研究所,江苏南京210098 [2]河海大学岩土力学与堤坝工程教育部重点实验室,江苏南京210098

出　　处：《岩石力学与工程学报》2016年第2期242-249,共8页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家自然科学基金资助项目(11202063);国家重点基础研究发展计划(973)项目(2011CB013504);"111"计划项目(B13024)~~

摘　　要：基于对Shao-Zhu-Su岩石力学流变模型及其数值算法的分析,发现传统积分算法在处理流变卷积方程时存在变量存储量大和计算效率低的缺点。运用数学变换和Taylor展开提出2种显式积分算法,即非线性显式积分算法(NEIA)和线性显式积分算法(LEIA)。通过蠕变和松弛数值试验对新算法进行验证和比较。提出的显式积分算法变量存储量较少,且避免与加载历史有关的累积求和运算,从而明显提高计算效率,使得此类内时流变模型更适合于大型岩体结构分析。需要指出的是,建议的数值积分方法也可用于其他积分型流变模型的数值处理。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.

关 键 词：岩石力学 流变模型 时效损伤变量 快速显式积分算法 

分 类 号：TU45[建筑科学—岩土工程]