Displacement fields denoising and strains extraction by finite element method  

作　　者：B.Q.Guo,~(1,a)) H.M.Xie,~(1,b)) Y.J.Li,~1P.W.Chen,~2and Q.M.Zhang~2 1) AML,Department of Engineering Mechanics,Tsinghua University,Beijing 100084,China 2) State Key Laboratory of Explosion Science and Technology,Beijing Institute of Technology,Beijing 100081, China 

出　　处：《Theoretical & Applied Mechanics Letters》2011年第1期18-21,共4页力学快报（英文版）

基　　金：supported by the National Basic Research Program of China("973"Project, Grant No.2010CB631005,2011CB606105);the National Natural Science Foundation of China(Grant No.10625209, 10732080,90916010);China Postdoctoral Science Foundation (Grant No.20090460335);Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20090002110048);the opening funds from the State Key Laboratory of Explosion Science and Technology (KFJJ10-18Y)

摘　　要：Optical full-field measurement methods are now widely applied in various domains. In general,the displacement fields can be directly obtained from the measurement,however in mechanical analysis strain fields are preferred.To extract strain fields from noisy displacement fields is always a challenging topic.In this study,a finite element method for smoothing displacement fields and calculating strain fields is proposed.An experimental test case on a holed aluminum specimen under tension is applied to validate this method.The heterogeneous displacement fields are measured by digital image correlation(DIC).By this proposed method,the result shows that the measuring noise on experimental displacement fields can be successfully removed,and strain fields can be reconstructed in the arbitrary area.Optical full-field measurement methods are now widely applied in various domains. In general,the displacement fields can be directly obtained from the measurement,however in mechanical analysis strain fields are preferred.To extract strain fields from noisy displacement fields is always a challenging topic.In this study,a finite element method for smoothing displacement fields and calculating strain fields is proposed.An experimental test case on a holed aluminum specimen under tension is applied to validate this method.The heterogeneous displacement fields are measured by digital image correlation(DIC).By this proposed method,the result shows that the measuring noise on experimental displacement fields can be successfully removed,and strain fields can be reconstructed in the arbitrary area.

关 键 词：noisy data SMOOTHING STRAIN DIFFERENTIATION finite element method 

分 类 号：O241.82[理学—计算数学]