Peridynamic modeling of plain and reinforced concrete structures.
Peridynamic modeling of plain and reinforced concrete structures.
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发表时间：
2005-08
期刊：
影响因子：
6.7
通讯作者：
S. Silling;W. Gerstle;N. Sau
中科院分区：
文献类型：
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作者：
S. Silling;W. Gerstle;N. Sau
1998年，Silling引入了周波模型。在本文中，我们演示了准静态的周期性模型的应用，二维，线弹性，平面应力和平面应变问题，特别注意到平原和钢筋混凝土结构的建模。我们只考虑一种偏离线性的情况--由于粒子之间键的不可逆突然断裂而产生的情况。周波模型首先假设牛顿第二定律对分析范围内的每一个无限小的自由体（或粒子）都成立。假设每对无限小的粒子之间有一个特定的力密度函数，称为成对力函数（单位体积力的单位），如果粒子之间的距离小于某个有限的距离，称为物质视界。成对力函数可以假定为两个粒子之间的相对位置和相对位移的函数。在本文中，我们假设，两个粒子更接近比指定的“物质视界”的成对力函数线性增加的拉伸，但在一些指定的拉伸，成对力函数是不可逆地减少到零。
The peridynamic model was introduced by Silling in 1998. In this paper, we demonstrate the application of the quasistatic peridynamic model to two-dimensional, linear elastic, plane stress and plane strain problems, with special attention to the modeling of plain and reinforced concrete structures. We consider just one deviation from linearity--that which arises due to the irreversible sudden breaking of bonds between particles. The peridynamic model starts with the assumption that Newton's second law holds true on every infinitesimally small free body (or particle) within the domain of analysis. A specified force density function, called the pairwise force function, (with units of force per unit volume per unit volume) between each pair of infinitesimally small particles is postulated to act if the particles are closer together than some finite distance, called the material horizon. The pairwise force function may be assumed to be a function of the relative position and the relative displacement between the two particles. In this paper, we assume that for two particles closer together than the specified 'material horizon' the pairwise force function increases linearly with respect to the stretch, but at some specified stretch, the pairwise force function is irreversibly reduced to zero.