Monotonic and Cyclic Constitutive Law for Concrete
Monotonic and Cyclic Constitutive Law for Concrete
复制标题
DOI：
10.1061/(asce)0733-9399(1983)109:2(516
复制
发表时间：
1983-04
期刊：
影响因子：
--
通讯作者：
M. Fardis;B. Alibe;J. Tassoulas
中科院分区：
文献类型：
--
作者：
M. Fardis;B. Alibe;J. Tassoulas
提出了一个简单的与时间无关的数学模型，用于描述混凝土在多轴应力条件下的单调和循环性能。该模型的一个基本特征是应力空间中的边界面，该边界面是材料到目前为止所经历的最大应变的函数。“屈服”面退化为当前应力点。应变增量d\N\di\dj被认为是完全塑性的，并通过以下项的叠加来计算：（1）各向同性分量，与静水应力增量成比例;以及（2）偏分量和各向同性分量，与八面体剪应力增量成比例。用于计算后一应变分量的塑性模量是以下各项的函数：（1）应力点到边界表面的距离，沿应力增量方向沿着测量dσ\N\di\dj;以及（2）σ\N\dm\da\dx。这种功能的依赖性的塑性模量和事实，即边界表面收缩为N\dm\da\dx增加允许现实的建模的非线性卸载和再加载行为的混凝土。
A simple time-independent, mathematical model is proposed for the monotonic and cyclic behavior of concrete under multiaxial stress conditions. An essential feature of the model is a bounding surface in stress space, which is a function of ϵ\N\dm\da\dx = the maximum strain experienced by the material to the present time. The “yield” surface degenerates into the current stress point. Strain increments dϵ\N\di\dj are considered completely plastic and are computed by superposition of: (1) An isotropic component, proportional to the hydrostatic stress increment; and (2) deviatoric and isotropic components, proportional to the octahedral shear stress increment. The plastic modulus for calculation of the latter strain components is a function of: (1) The distance of the stress point from the bounding surface, measured along the direction of the stress increment dσ\N\di\dj; and (2) ϵ\N\dm\da\dx. This functional dependence of the plastic modulus and the fact that the bounding surface shrinks as ϵ\N\dm\da\dx increases allow realistic modeling of the nonlinear unloading and reloading behavior of concrete.