Composite Materials : Nonlinear constitutive

Composite Materials : Nonlinear constitutive

Composite Materials : Nonlinear constitutive behaviour and microstructure
evolution
Professor in charge : Pedro Ponte Castañeda
Fiche : MEC 633
Cursus : Doctoral
Domaine : MECANIQUE
Department : MECANIQUE
Year : 2005
Schedule : 6 seances : Premier cours le Jeudi 7 avril de 14h00 à 17h00 en PC 38 à l’Ecole
Polytechnique.
Number of Hours : 18
Number of teaching Blocks : 6
ECTS Credits :
Level : doctoral program
Departments : Mécanique
Objective: Introduction to nonlinear constitutive behavior and microstructure evolution in
composite materials.
Who should attend : doctoral students in mechanics of materials, or applied math, with some
experience in composite materials.
Description : Random nonlinear composites : Macroscopic behaviour and field statistics. Review
of linear-elastic composite : Hashin-Shtrikman bounds and self-consistent estimates.
Microstructure evolution in linearly viscous systems. Nonlinear composites : Variational methods
based on the use of a linear comparison composite. Applications : Viscoplastic composites and
polycrystals. Microstructure evolution in viscoplastic systems.
Bibliography and prerequisite :
P. Ponte Castañeda. “Nonlinear composite materials: effective constitutive behavior and
microstructure evolution.” In Continuum Micromechanics, CISM Courses and Lectures, Vol. 377,
edited by P. Suquet, pp. 131-195. Vienna: Springer-Verlag, 1997.
Basic course on linear composite materials/homogenization.