Hits:

Indexed by:期刊论文

Date of Publication:2007-01-01

Journal:INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Included Journals:SCIE、EI

Volume:69

Issue:1

Page Number:87-113

ISSN No.:0029-5981

Key Words:structural dynamics; non-Fourier heat conduction; multiple scale method; homogenization; non-local model

Abstract:A spatial and temporal multiscale asymptotic homogenization method used to simulate thermo-dynamic wave propagation in periodic multiphase materials is systematically studied. A general field governing equation of thermo-dynamic wave propagation is expressed in a unified form with both inertia and velocity terms. Amplified spatial and reduced temporal scales are, respectively, introduced to account for spatial and temporal fluctuations and non-local effects in the homogenized solution due to material heterogeneity and diverse time scales. The model is derived from the higher-order homogenization theory with multiple spatial and temporal scales. It is also shown that the modified higher-order terms bring in a non-local dispersion effect of the microstructure of multiphase materials. One-dimensional non-Fourier heat conduction and dynamic problems under a thermal shock are computed to demonstrate the efficiency and validity of the developed procedure. The results indicate the disadvantages of classical spatial homogenization. Copyright (c) 2006 John Wiley & Sons, Ltd.