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中文摘要：
针对采用常用的元件模型较好地拟合试验结果时需要的参数较多的缺点,将分数阶微积分理论应用于岩体结构的流变分析.将分数阶微积分的黏弹性模型和黏塑性模型的一维本构关系推广为三维本构关系,推导流变应变增量计算公式.然后将分数阶微积分流变模型应用于不同岩体结构的加速流变破坏分析.结果表明：改变分数阶次时,岩体结构加速流变性态将发生较大变化,分数阶微积分流变模型可较好地描述岩体结构不同的加速流变破坏过程,且模型简单实用.
英文摘要：
As to the disadvantage of needing many parameters when conventional element model is used to fit experimental data well,the theory of fractional order calculus is applied to the rheology analysis of rock structures.One-dimensional constitutive relation of viscoelastic and viscoplastic model based on fractional order calculus is generalized to three-dimensional model,by which rheological strain increment calculation formula are deduced.Then fractional order calculus rheological model is applied to the destruction analysis of accelerated rheology of different rock structures.It is shown that the accelerated rheology behavior changes much with alteration of the order.Fractional order calculus rheological model not only is simple and practical,but also can well describe the different accelerated rheological destructive process of different structures,and the model.
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A decomposition procedure for nearly-symmetric matrices with applications to some nonlinear problems
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A decomposition procedure for nearly- symmetric matrices with applications to some nonlinear problem
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