考虑围压效应和塑性演化机制的中密砂力学模型

doi:10.13722/j.cnki.jrme.2018.0631

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摘要为了实现对中密砂工程受荷变形的准确预测，基于岩土材料宏观弹塑性理论框架和三轴试验结果，分析中密砂变形、强度的影响因素和特征，建立适应的屈服准则、硬化法则和流动法则。研究结果表明：(1) 中密砂的三轴力学特征对围压较为敏感，随围压增大，应力–应变曲线形态逐渐变化，线性段斜率和峰值强度增大，软化段减弱并消失，体积应变–轴向应变曲线线性段斜率基本无变化，体积剪胀程度减小，高围压试验结束时体积应变相对初始加载时仍处于剪缩状态；(2) 考虑中密砂的围压效应和剪切破坏，采用第三主应力和等效塑性剪应变增量表达塑性内变量，峰值点处塑性内变量大于0.5，相对岩石更为滞后；(3) 弹性模量随围压呈指数型函数规律增大，泊松比近似为常数；(4) 塑性变形过程中最大主应力和最小主应力近似符合线性规律，内摩擦角近似线性增大，黏聚力先增大后减小并符合指数类函数特征；(5) 剪胀角在低围压下随塑性变形逐渐减小，高围压下先增大后减小，高围压下剪胀角低于低围压；(6) 数值曲线与试验数据吻合度高，可表达中密砂围压效应和塑性演化机制，适用于对应力状态敏感的中密砂的精确计算。

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	李震1
	赵洪波1
	刘尚各2
	徐荣超3
	王云飞1

关键词 ：土力学, 围压效应, 塑性演化, 中密砂, 力学模型, 弹塑性理论

Abstract：The influencing factor and the characteristics of deformation and strength of medium dense sand samples were analyzed based on the macroscopic theory of elasto-plasticity and triaxial tests in order to precisely predict the deformation of medium dense sand on site. The yielding criteria，the hardening law and the flow rule were formulated accordingly. The stress-strain curves change with the increasing of confining pressure. The slope of the linear section of stress-strain curves and the peak strength increase with the increasing of confining pressure. The softening section reduces and even disappears. The gradient of volumetric strain-axial strain curve remains as usual basically. The shear dilation decreases. Under the high confine pressure，the samples exhibit the shear contraction in the whole shearing process. Considering the confining effect and shear failure in medium dense sand，the internal plastic variable is expressed by the third principal stress and effective plastic shear strain increment. The internal plastic variable at peak is larger than 0.5 and much larger than that of rock. The elastic modulus increases exponentially with the increasing of confining pressure. Poisson?s ratio remains the same approximately. The maximum and minimum principal stresses vary linearly in the process of plastic deformation. The internal friction angle increases linearly，and the cohesion increases and then decreases exponentially. The dilation angle decreases with the plastic deformation under the low confining pressure，but it increases and decreases under the high confining pressure. The calculated curve is basically identical to the experimental data，indicating that the model is suitable for medium dense sand.

Key words： soil mechanics confining pressure effects plastic evolution medium dense sand mechanical model elastoplastic theory

引用本文:

李震1，赵洪波1，刘尚各2，徐荣超3，王云飞1. 考虑围压效应和塑性演化机制的中密砂力学模型[J]. 岩石力学与工程学报, 2018, 37(11): 2610-2620.
LI Zhen1，ZHAO Hongbo1，LIU Shangge2，XU Rongchao3，WANG Yunfei1. Mechanical model for medium dense sand considering confining pressure effect and plastic evolution. , 2018, 37(11): 2610-2620.

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http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2018.0631 或 http://www.rockmech.org/CN/Y2018/V37/I11/2610

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