LIMIT ANALYSIS OF SOIL STRUCTURE BY RIGID PLASTIC FINITE ELEMENT METHOD
LIMIT ANALYSIS OF SOIL STRUCTURE BY RIGID PLASTIC FINITE ELEMENT METHOD
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土结构的刚塑性有限元法极限分析
DOI：
10.3208/sandf1972.24.34
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发表时间：
1984
影响因子：
3.7
通讯作者：
T. Sumi
中科院分区：
文献类型：
--
作者：
T. Tamura;Shoichi Kobayashi;T. Sumi
在假定土的力学性质为刚塑性的情况下，研究了一种分析土结构极限状态的数值方法。众所周知，框架结构的倒塌分析可以通过塑性上界定理归结为线性规划问题。最近，这种方法被推广到连续介质。由于在这种情况下必须处理非线性规划问题，所以在文献中找不到成熟的技术。关于约束条件和不定压力(总平均应力)在理论上也有一些混淆。本文首先利用上界定理对问题进行了描述，然后证明了上界的最小化等价于求出不定压力下的平衡态。文中以浅基础承载力和边坡稳定性等典型问题为例，说明了本文的数值计算方法。计算结果与已知解的良好一致性证实了本方法可作为土体结构极限分析的一般方法。
We investigate a numerical approach to analyze the limit state of soil structures, assuming that the mechanical property of the soil is rigid plastic. It is well known that the collapse analysis of frame structures can be formulated as the linear programming problem through the upper bound theorem of plasticity. Recently this method was extended to continuum. Since the nonlinear programming problem must be treated in this case, no well-established technique is found out in the literature. There also is a little theoretical confusion concerning the constraint conditions and the indeterminate pressure (total mean stress).In this paper, we firstly formulate the problem by using the upper bound theorem and secondly show that the minimization of the upper bound is equivalent to finding out the equilibrium state with the indeterminate pressure. The present numerical procedure is illustrated by typical problems, i. e., bearing capacity of shallow foundation and slope stability. Good agreement between the present results and well-known solutions confirms that our approach can be used as a general method for the limit analysis of soil structures.