| 弹塑性问题的摄动随机有限元增量方程的建立和分析 |
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| 引用本文： | 陈慧,曹振斌,张清华.弹塑性问题的摄动随机有限元增量方程的建立和分析[J].烟台大学学报(自然科学与工程版),2005,18(1):24-27. |
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| 作者姓名： | 陈慧 曹振斌 张清华 |
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| 作者单位： | 1. 烟台大学,土木工程学院,山东,烟台,264005
2. 烟台诚信招标咨询有限公司,山东,烟台,264005 |
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| 摘 要： | 将摄动随机有限元法引入到材料非线性问题的分析中,得出了弹塑性问题的摄动随机有限元增量方程组.通过两重迭代———平衡方程的迭代和本构关系的迭代,求解该非线性方程组,即可得到节点位移增量和单元应力增量的一阶和二阶变异量,从而求出其均值和方差,并进而利用叠加原理求得加载结束后单元应力的均值和方差.
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| 关 键 词： | 弹塑性 摄动随机有限元 增量方程 |
| 文章编号： | 1004-8820(2005)01-0024-04 |
Establishment and Analysis of the P.S.FEM Incremental Equation of Elastoplastic Problem |
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| CHEN Hui,CAO Zhen-bin,ZHANG Qing-hua.Establishment and Analysis of the P.S.FEM Incremental Equation of Elastoplastic Problem[J].Journal of Yantai University(Natural Science and Engineering edirion),2005,18(1):24-27. |
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| Authors: | CHEN Hui CAO Zhen-bin ZHANG Qing-hua |
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| Institution: | CHEN Hui~1,CAO Zhen-bin~1,ZHANG Qing-hua~2 |
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| Abstract: | The P.S.FEM is introduced in the analysis of the problem of no-linear material.The P.S.FEM incremental equation of elastoplastic problem is obtained.With the dual iterative method,i.e.,the iteration of algebraic equation and physical characteristic equation,the first and the second order statistics of joint incremental displacement and unit incremental stress are solvable.Then the mean value and the variation corresponding to every incremental load can be obtained.Making further analysis by means of the principle of superposition,the final mean value and the variation of unit after the final application of load can be gained. |
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| Keywords: | elastoplasticity P S FEM incremental equation |
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