Parameter identification procedure as a dual boundary control problem for linear elastic materials

The material parameter identification problem is classified into the inverse and direct formulations. The former method was firstly proposed by Kavanagh (1973). The procedure is as follows: Observed data are built in boundary conditions of the finite element formulation, then by using its inverse relation the elastic constants are obtained. This is a simple method, however, it sometimes gives inaccurate results. The second formulation is based on the least square method. That is, material parameters are identified by minimizing the error defined between observed data and computed results. This method also gives an insufficient solution especially for the case to identify Young's modulus and Poisson's ratio simultaneously. We here propose a new method under the concept of boundary control.