Creep of anisotropic clay: Microplane model
Creep of anisotropic clay: Microplane model
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DOI：
10.1061/(asce)0733-9410(1986)112:4(458
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发表时间：
1986-04
期刊：
影响因子：
--
通讯作者：
Z. Bažant;Jin Keun Kim
中科院分区：
文献类型：
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作者：
Z. Bažant;Jin Keun Kim
各向异性固结粘土试样的不排水等体积蠕变在数学上由微平面模型描述，该模型基于以下假设：相互滑动的粘土薄片（微平面）之间的接触面上的剪切应变率是宏观应变率的解析分量。因此，假设微结构是运动学约束的。假设微平面上的剪切速率受活化能（速率过程理论）支配。当前粘度的矩阵作为涉及微平面的剪切应变率的所有空间方向上的积分而获得。这个积分，这是作为一个总和数值计算，给出了粘度矩阵上所施加的宏观应力的依赖性。粘土的各向异性由描述各种取向的粘土片晶的相对频率的球面角的函数表征。该函数可以从X射线衍射近似估计。
Undrained constant‐volume creep of anisotropically consolidated specimens of clay is mathematically described by the microplane model, which is based on the assumption that the shear strain rates on the contact planes between mutually sliding clay platelets (the microplanes) are the resolved components of the macroscopic strain rate. Thus, the microstructure is assumed to be kinematically constrained. The rate of shear on the microplanes is assumed to be governed by activation energy (rate process theory). The matrix of the current viscosities is obtained as an integral over all spatial directions involving the shear strain rates for the microplanes. This integral, which is evaluated numerically as a summation, gives the dependence of the viscosity matrix on the applied macroscopic stress. Anisotropy of the clay is characterized by a function of the spherical angles describing the relative frequency of clay platelets of various orientations. This function can be approximately estimated from X‐ray diffract...