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基于分数阶微积分改进的黄土西原模型 被引量:11

The improved Nishihara model of loess based on fractional calculus
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摘要 基于分数阶微积分构造的软体元件可反映介于理想固体与理想流体之间的岩土材料流变性质。应用软体元件替换传统西原模型中牛顿粘滞元件,改进的西原模型更符合材料的实际力学行为。为反映岩土材料流变的非线性特性,应用简化的SN元件与考虑应力及时间的损伤变量进一步改进软体元件的类粘滞系数,得到了由变参数的软体元件改进的西原模型。应用Q2黄土三轴蠕变试验结果对模型进行验证,结果显示改进后的西原模型可以很好地反映黄土的整体流变特性。 The soft-matter element based on the fractional calculus structure can reflect the rheological property of geotechnical materials between ideal solid and ideal fluid. If the soft-matter element is employed to replace the Newton sticky element in the traditional Nishihara model,the improved Nishihara model will better conform to the actual mechanical behavior of materials. In order to reflect the nonlinear characteristics of the geomaterials rheology,the Nishihara model improved on the basis of variable parameters soft-matter element is obtained by applying the simplified SN element and damage variable considering stress and time to further improve the viscosity coefficient of the improved soft-matter elements. The model is verified with the results of Q2 loess triaxial creep test. The results show that the improved Nishiara model can perfectly reflect the overall rheological properties of loess. The research results can provide a new idea for Q2 loess rheological exploration.
出处 《水文地质工程地质》 CAS CSCD 北大核心 2014年第5期50-56,共7页 Hydrogeology & Engineering Geology
基金 国家自然科学基金资助项目(40872185) 中央高校基本科研业务费专项资金资助项目(CHD2010JC118)
关键词 分数阶微积分 软体元件 西原模型 SN元件 损伤 fractional calculus soft-matter element Nishihara model SN element damage
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