应变软化数学描述方法及其应用

发布时间：2018-03-25 03:01

本文选题：数学描述方法　切入点：应变软化　出处：《水利学报》2015年S1期

【摘要】：应变软化现象普遍存在于岩土本构规律中。对这种类型的演化,可通过增量构造曲线斜率的方法进行描述。具体做法是:首先在平面直角坐标系中定义一条初值为正、单调递减并最终趋与常值的参考线。其次令所描述曲线由坐标原点开始,其增量斜率由函数值与参考曲线函数值的差决定。通过这样的增量曲线构造,初始时所描述曲线函数值增加而参考曲线函数值减小,当二者相遇时所描述曲线函数值不再继续增加,随后所描述曲线因函数值大于参考曲线而减小,最终所描述曲线与参考线一起达到参考线的稳定常量函数值。这种应变软化型演化规律的描述方法隐含于超固结土的统一硬化模型中(UH模型)。同样利用这种描述方法,可以将UH模型的等向压缩描述扩展为对结构性土等向压缩特性的模拟。
[Abstract]:Strain softening phenomenon in geotechnical constitutive law. The evolution of this type, can be described by the method of incremental construction of the slope of the curve. The method is as follows: in the rectangular coordinate system defined in an initial value is monotonically decreasing and eventually trend with the constant reference to the second line. Describe the curve starting from the origin of coordinates, the incremental slope by the function value and the reference value of the difference curve function. Through the incremental construction of such curves, the initial description of curve function increases reference curve function value decreases, when the two meet described curve function value is no longer continue to increase, then described by function curve the value is greater than the reference curve decreases, finally described stability constant function curve and the reference line together to reach the reference line. A series of the value of strain softening method to describe the evolution of the type implied in overconsolidated soil In the hardening model (UH model), the equivalent compression description of the UH model can be extended to simulate the isotropic compression of structural soil by using this description method.

【作者单位】：北方工业大学土木工程学院;北京航空航天大学交通科学与工程学院;
【基金】：国家自然科学基金项目(11272031,51179003) 北京市自然科学基金(8132042) 北方工业大学青年教师科研启动金项目
【分类号】：TU43

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