Characterization of two-scale gradient Young measures and application to homogenization - Archive ouverte HAL Access content directly
Journal Articles Applied Mathematics and Optimization Year : 2008

Characterization of two-scale gradient Young measures and application to homogenization

Abstract

This work is devoted to the study of two-scale gradient Young measures naturally arising in nonlinear elasticity homogenization problems. Precisely, a characterization of this class of measures is derived and an integral representation formula for homogenized energies, whose integrands satisfy very weak regularity assumptions, is obtained in terms of two-scale gradient Young measures.

Dates and versions

hal-00265692 , version 1 (19-03-2008)

Identifiers

Cite

Jean-François Babadjian, Margarida Baia, Pedro M. Santos. Characterization of two-scale gradient Young measures and application to homogenization. Applied Mathematics and Optimization, 2008, 57 (1), pp.69-97. ⟨10.1007/s00245-007-9012-y⟩. ⟨hal-00265692⟩

Collections

TDS-MACS
63 View
0 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More