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Numerical characteristics of a simple finite element formulation for consolidation analysis

机译:固结分析的简单有限元公式的数值特征

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摘要

The spatial oscillation of values in the consolidation analysis when using small time increments has been a common problem for most existing methods. In this paper, the numerical characteristics of a simple finite element formulation for 1-D consolidation analysis recently proposed by the authors have been examined in detail. This paper proves that the commonly encountered phenomenon of spatial oscillation due to small time increments does not occur in the simple finite element formulation. The criterion of minimum time step used in most existing methods can be eliminated at least for linear situations by using the simple formulation proposed by the authors. Thus, the consolidation analysis can be carried easily for many situations, such as the one involving a relatively impermeable clay layer sandwiched between sandy layers.
机译:对于大多数现有方法,在使用较小的时间增量时,合并分析中值的空间振荡一直是一个常见问题。在本文中,已经对作者最近提出的用于一维固结分析的简单有限元公式的数值特性进行了详细研究。本文证明,在简单的有限元公式中不会发生因时间增量较小而引起的空间振荡现象。通过使用作者提出的简单公式,至少对于线性情况,可以消除大多数现有方法中使用的最小时间步长准则。因此,固结分析可以在许多情况下轻松进行,例如涉及夹在沙层之间的相对不可渗透的粘土层的情况。

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