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下限极限分析的平面等参单元算法

algorithm of Lower bound limit analysis using isoparametic element

中文摘要英文摘要

本文介绍了下限极限分析的基本原理,采用二维平面等参单元将计算区域离散,利用极限分析中的下限定理建立满足平衡条件、应力连续条件、应力边界条件、屈服条件的下限法数学模型。引入并介绍了一种非线性规划的数值方法以及用牛顿迭代法求解该问题下限解的一种算法。与其他的算法相比,采用等参单元,能减少网格数量,即具有较高的精度,又能较好的模拟结构的几何形状。

his paper introduced the elementary theory of lower bound limit analysis, using two-dimensional isoparametric element to discrete the regional,using the lower bound limit analysis theorems to set up the mathematical model which meet with the equilibrium condition, stress continuity conditions, stress boundary conditions and the yield conditions. It also introduced a numerical algorithm for nonlinear programming and using the Newton iteration to solve the problem, Compared with other algorithms, using isoparametric element needs fewer elements, it not only have high precision, but also have a better imitation of the structure.

王国富

工程基础科学

等参单元极限下限分析非线性规划

Isoparametic elementlower bound limit analysisnonlinear programming

王国富.下限极限分析的平面等参单元算法[EB/OL].(2009-03-25)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/200903-953.点此复制

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