INVESTIGADORES
OLLER Sergio Horacio Cristobal
capítulos de libros
Título:
Cap. IV: Multiscale Computational Homogenization. Mathematical Models for Material Sciences and Industrial Applications
Autor/es:
F. OTERO; S. OLLER; X. MARTINEZ
Libro:
Mathematical Models for Material Sciences and Industrial Applications. Serie: Notas de Modelación y Métodos Numéricos VII,
Editorial:
CIMAT
Referencias:
Lugar: Guanajuato - León; Año: 2017; p. 75 - 112
Resumen:
In this chapter is presented the mathematical formulation and Multiscale Computational Homogenization the numerical implementation of a classical first-order multiscale homogenization.The Finite Element Method (FEM) is used to address the multiscale numerical solution, therefore the presented framework is a multiscale FE2 method. A numerical example is presented to show the advantages and drawbacks of the FE2 method in comparison with a full microscopic FEM. Then, a non-linear extension for multiscale homogenization methods to reduce its computational cost. The formulation to guaranty the consistent of the energydissipation through the scales and the mesh independent at the macro and micro level is developed. A non-linear numerical example is presented at the end of this section to show the convenient of using non-linear strategies together with multiscale FE2 method. Finally, the main conclusions of the presented chapter are developed.
