Coupled time and space homogenization of viscoelastic–viscoplastic composite materials under large numbers of loading cycles

A coupled time and space homogenization formulation is proposed for heterogeneous micro-structures with viscoelastic–viscoplastic (VE–VP) constituents and subjected to large numbers of cycles. A time homogenization theory is presented in a general setting, based on two time scales and asymptotic tim...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the mechanics and physics of solids Vol. 207; p. 106423
Main Authors: Doghri, I., Haddad, M., Tsilimidos, G., Haouala, S.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.02.2026
Subjects:
Cyclic loadings
Micromechanics
Numerical algorithms
Time homogenization
Viscoelastic–viscoplastic behavior
Micromechanics
Time homogenization
Viscoelastic–viscoplastic behavior
Cyclic loadings
Numerical algorithms
ISSN:0022-5096
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A coupled time and space homogenization formulation is proposed for heterogeneous micro-structures with viscoelastic–viscoplastic (VE–VP) constituents and subjected to large numbers of cycles. A time homogenization theory is presented in a general setting, based on two time scales and asymptotic time expansion of the fields. It leads to a macro-time VE–VP problem being fed with stress fluctuations computed from a micro-time VE problem. New theoretical results are discussed. Coupling with space homogenization is detailed for the incremental-secant mean-field homogenization (MFH) formulation. The latter takes into account per phase residual strains and stresses upon virtual VE unloading and leads to an incremental stiffness operator which is naturally isotropic for an isotropic VE–VP constituent. Coupling with time homogenization brings new terms which are not present in the original MFH method. Computational algorithms are proposed based on implicit time integration schemes, and numerical simulations illustrate the remarkable performance of the proposed formulation and algorithms.
ISSN:0022-5096
DOI:10.1016/j.jmps.2025.106423