Parameter identification for lined tunnels in a viscoplastic medium

作者: B. Lecampion , A. Constantinescu , D. Nguyen Minh

DOI: 10.1002/NAG.241

关键词: Estimation theoryCalculusWhite noiseViscoplasticitySensitivity (control systems)Finite element methodApplied mathematicsConstitutive equationInverse problemComputer simulationEngineering

摘要: This paper is dedicated to the identification of constitutive parameters elasto-viscoplastic law from measurements performed on deep underground cavities (typically tunnels). inverse problem solved by minimization a cost functional least-squares type. The exact gradient computed direct differentiation method and descent done using Levenberg–Marquardt algorithm. presented for lined or unlined structures applied an elastoviscoplastic Perzyna class. Several problems are in one two dimensions different tunnel geometries. used have been obtained preliminary numerical simulation perturbed with white noise. identified responses match measurements. We also discuss usage sensitivity analysis system, provided method, optimization situ monitoring. distribution space time assess location points as well observation needed reliable identification. Copyright © 2002 John Wiley & Sons, Ltd.

参考文章(18)
Piotr Perzyna, Fundamental Problems in Viscoplasticity Advances in Applied Mechanics. ,vol. 9, pp. 243- 377 ,(1966) , 10.1016/S0065-2156(08)70009-7
C.A. Vidal, H.-S. Lee, R.B. Haber, The consistent tangent operator for design sensitivity analysis of history-dependent response Computing Systems in Engineering. ,vol. 2, pp. 509- 523 ,(1991) , 10.1016/0956-0521(91)90053-8
A. Giraud, G. Rousset, Time-dependent behaviour of deep clays Engineering Geology. ,vol. 41, pp. 181- 195 ,(1996) , 10.1016/0013-7952(95)00000-3
A. LORENZI, V. G. YAKHNO, An identification problem related to an isotropic nonhomogeneous stratified viscoelastic cylindrical body Journal of Inverse and Ill-posed Problems. ,vol. 5, ,(1997) , 10.1515/JIIP.1997.5.1.29
Jaan Janno, Lothar von Wolfersdorf, An inverse problem for identification of a time- and space-dependent memory kernel in viscoelasticity Inverse Problems. ,vol. 17, pp. 13- 24 ,(2001) , 10.1088/0266-5611/17/1/302
Andrei Constantinescu, Nicolas Tardieu, On the identification of elastoviscoplastic constitutive laws from indentation tests Inverse Problems in Engineering. ,vol. 9, pp. 19- 44 ,(2001) , 10.1080/174159701088027751
Maurice A. Biot, General Theory of Three‐Dimensional Consolidation Journal of Applied Physics. ,vol. 12, pp. 155- 164 ,(1941) , 10.1063/1.1712886
D. A. Tortorelli, P. Michaleris, Design sensitivity analysis: Overview and review Inverse Problems in Engineering. ,vol. 1, pp. 71- 105 ,(1994) , 10.1080/174159794088027573
G. Swoboda, Y. Ichikawa, Qinxi Dong, Mostafa Zaki, Back analysis of large geotechnical models International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 23, pp. 1455- 1472 ,(1999) , 10.1002/(SICI)1096-9853(199911)23:13<1455::AID-NAG33>3.0.CO;2-C
Creto Augusto Vidal, Robert Bruce Haber, Design sensitivity analysis for rate-independent elastoplasticity Computer Methods in Applied Mechanics and Engineering. ,vol. 107, pp. 393- 431 ,(1993) , 10.1016/0045-7825(93)90074-8