Preprint
Efficient formulations of the material identification problem using full-field measurements
Fecha
2016Registro en:
Autor
Pérez Zerpa, Jorge Martín
Canelas, Alfredo
Institución
Resumen
The material identification problem addressed consists of determining the constitutive
parameters distribution of a linear elastic solid using displacement measurements.
This problem has been considered in important applications such as the design of methodologies
for breast cancer diagnosis. Since the resolution of real life problems involves high
computational costs, there is great interest in the development of efficient methods. In this
paper two new efficient formulations of the problem are presented. The first formulation
leads to a second-order cone optimization problem, and the second one leads to a quadratic
optimization problem, both allowing the resolution of the problem with high efficiency and
precision. Numerical examples are solved using synthetic input data with error. A regularization
technique is applied using the Morozov criterion along with an automatic selection
strategy of the regularization parameter. The proposed formulations present great advantages
in terms of efficiency, when compared to other formulations that require the application of
general nonlinear optimization algorithms.