Identification of elastic materials using wavelet transform

This paper presents an identification method for material parameters using the observational boundary conditions and the wavelet analysis. The material parameter identification methods which belong to the deterministic approaches are classified into the inverse and direct approaches. The proposed method combines the inverse approach and the direct approach [Swoboda G, Ichikawa Y, Dong Q, Zaki M. Back analysis of large geotechnical models. Int J Numer Meth Geomech 1999;23:1455–72, Ichikawa Y, Ohkami T. A parameter identification procedure as a dual boundary control problem for linear elastic materials. Soils Foundat 1992;32(2):35–44], and by applying the discrete wavelet transform to the system matrix of the iteration equation, we estimate unknown material parameters for the case in which the number of unknown parameters exceeds the observed data. The validity of this method is examined for geotechnical engineering problems. This paper is a revised and extended version of reference [Ohkami T, Nagao J, Koyama S. Parameter identification method using wavelet transform. In: Topping B.H.V., editor, Proceedings of the ninth international conference on civil and structural engineering computing. Civil-Comp Press, Stirling (UK); 2003; Paper 116].