[1]郭力,高效伟.复变量求导法灵敏度分析及弹塑性参数反演[J].东南大学学报(自然科学版),2008,38(1):141-145.[doi:10.3969/j.issn.1001-0505.2008.01.027]
 Guo Li,Gao Xiaowei.Sensitivity analysis and elasto-plastic parameter inversing via complex-variable differentiation method[J].Journal of Southeast University (Natural Science Edition),2008,38(1):141-145.[doi:10.3969/j.issn.1001-0505.2008.01.027]
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复变量求导法灵敏度分析及弹塑性参数反演()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
38
期数:
2008年第1期
页码:
141-145
栏目:
土木工程
出版日期:
2008-01-20

文章信息/Info

Title:
Sensitivity analysis and elasto-plastic parameter inversing via complex-variable differentiation method
作者:
郭力 高效伟
东南大学土木工程学院, 南京 210096
Author(s):
Guo Li Gao Xiaowei
School of Civil Engineering, Southeast University, Nanjing 210096, China
关键词:
复变量求导法 灵敏度分析 弹塑性参数反演 复域位移分析
Keywords:
complex variable differential method sensitivity analysis elasto-plastic parameter inversing complex domain displacement analysis
分类号:
TU312
DOI:
10.3969/j.issn.1001-0505.2008.01.027
摘要:
提出了灵敏度分析和弹塑性参数反演的一种新方法.针对非线性参数反演过程中灵敏度计算困难的问题,利用复变量求导法,把隐式函数的求导过程转化为函数值的计算,进而高精度地计算出参数灵敏度.相对于常规的基于有限差分的灵敏度数值计算方法,该方法更为高效.以岩土工程中弹塑性参数反演问题为背景,给出了基于复域位移分析的参数反演过程,对弹性模量、泊松比、粘聚力以及内摩擦角进行了反演.数值算例表明,所提出的方法对单一参数和耦合参数的非线性反演问题均有效可靠,解决了参数反演时位移对反演参数不敏感问题.
Abstract:
A novel method was developed for sensitivity analysis and elasto-plastic parameter identification. Using complex variable differential method, partial differential of an implicit function is reduced to function numerical calculation in complex domain, and parameter sensitivity is computed more accurately and efficiently than using the traditional finite difference method. An inverse process method via complex domain displacement analysis was established for elasto-plastic parameter identification in geotechnical engineering. The elastic modulus, Poisson ratio, cohesion and friction angle were identified accurately. With numerical verification, the developed method is efficient and reliable for elasto-plastic parameter identification and nonlinear parametric inversing analysis.

参考文献/References:

[1] Frank T T C,Sun N Z,Yeh W W G.Geophysical parameterization and parameter structure identification using natural neighbors in groundwater inverse problems [J].Journal of Hydrology,2005,308(1/2/3/4):269-283.
[2] Piotr D,Yasuaki I,Zbigniew S.Inverse analysis procedure for identifying material parameters of hypoplastic constitutive model for soils [J].Materials Science Research International,2000,6(3):212-220.
[3] Qu J,Jin Q L,Xu B Y.Parameter identification for improved viscoplastic model considering dynamic recrystallization [J]. International Journal of Plasticity,2005,21(7):1267-1302.
[4] Danuta S,Jerzy G,Maciej P.Inverse analysis for identification of rheological and friction models in metal forming [J]. Computer Methods in Applied Mechanics and Engineering,2006,195(48/49):6778-6798.
[5] Singh K V,Li G Q,Pang S S.Free vibration and physical parameter identification of non-uniform composite beams [J].Composite Structures,2006,74(1):37-50.
[6] Iacono C,Sluys L J,van Mier J G M.Estimation of model parameters in nonlocal damage theories by inverse analysis techniques [J]. Computer Methods in Applied Mechanics and Engineering,2006,195(52):7211-7222.
[7] Narayanan R,Toshio N,Masataka U.Identification of embedded interlaminar flaw using inverse analysis [J]. International Journal of Fracture,2005,132(3):153-173.
[8] 孙钧,黄伟.岩石力学参数弹塑性反演问题的优化方法[J].岩石力学与工程学报,1992,11(3):221-229.
  Sun Jun,Huang Wei.The optimization method for elastoplastic parameter back analysis in rock mechanics [J].Chinese Journal of Rock Mechanics and Engineering,1992,11(3):221-229.(in Chinese)
[9] Cooreman S,Lecompte D,Sol H,et al.Elasto-plastic material parameter identification by inverse methods:Calculation of the sensitivity matrix [J].International Journal of Solids and Structures,2007,44(13):4329-4341.
[10] Karkkainen T,Neittaanmaki P.Numerical method for nonlinear inverse problem [J].Journal of Computational and Applied Mathematics,1996,74(1):231-244.
[11] Simoni L,Schrefler B A.An accelerated algorithm for parameter identification in a hierarchical plasticity model accounting for material constraints [J]. International Journal for Numerical and Analytical Methods in Geomechanics,2001, 25(3):263-272.
[12] Michele C,Richard F J.Selecting parameters to optimize in model calibration by inverse analysis [J].Computers and Geotechnics,2004,31(5):411-425.
[13] Lyness J N,Moler C B.Numerical differentiation of analytic functions [J].SIAM Journal of Numerical Analysis,1967,4(2):202-210.
[14] Gao X W,Liu D D,Chen P C.Internal stresses in inelastic BEM using complex-variable differentiation [J].Computational Mechanics,2002,28(1):40-46.
[15] Owen D R J,Hinton,E. Finite elements in plasticity:theory and practice [M].Swansea,UK:Pineridge Press Limited,1980.
[16] 向志海.基于位移观测的岩土参数识别算法中若干问题的研究 [D].北京:清华大学工程力学系,2002.

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备注/Memo

备注/Memo:
作者简介: 郭力(1973—),男,博士,副教授,Lguo@seu.edu.cn.
基金项目: 国家自然科学基金资助项目(50608016)、 江苏省自然科学基金资助项目(BK2006091)、 东南大学优秀青年教师资助计划项目.
引文格式: 郭力,高效伟.复变量求导法灵敏度分析及弹塑性参数反演[J].东南大学学报:自然科学版,2008,38(1):141-145.
更新日期/Last Update: 2008-01-20