Efficient formulations of the material identification problem using fullfield measurements
 Autor(es):
 Pérez Zerpa, Jorge Martín ; Canelas, Alfredo
 Tipo:
 Preprint
 Versión:
 Enviado
 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 secondorder 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.
 Año:
 2016
 Idioma:
 Inglés
 Temas:
 Identification
Inverse problems
Kinematic field measurements
Secondorder cone programming
 Institución:
 Universidad de la República
 Repositorio:
 COLIBRI
 Enlace(s):
 https://hdl.handle.net/20.500.12008/32569
 Nivel de acceso:
 Acceso abierto