Open AccessThe two-scale finite element computation for thermoelastic problem in periodic perforated domain
Author(s) -
Feng Yong,
Junzhi Cui,
Mingxiang Deng
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.327
Subject(s) - thermoelastic damping , finite element method , computation , scale (ratio) , domain (mathematical analysis) , displacement (psychology) , simple (philosophy) , numerical analysis , computer science , mathematical analysis , algorithm , structural engineering , mathematics , physics , thermal , psychology , philosophy , epistemology , quantum mechanics , meteorology , engineering , psychotherapist
The problems of composite structures containing small periodic perforated configurations are often encountered in the development of composite materials. These structures often consist of material with very fine micro-structures and vary sharply within a very small periodic domain. The traditional simulation of these structures involving multi-scale is very difficult because of the requirement for a tremendous amount of computer memory and CPU running time. The two-scale formal asymptotic expansions of the increment of temperature and the displacement for the structure with small periodic perforated configuration of composite material are given. The two-scale finite element algorithm is described and simple numerical results are evaluated by two-scale finite element computational method. The numerical results show that the basic configuration and the increment of temperature strongly affect local strains and local stresses inside basic cell. A new effective numerical method is presented for thermoelastic problem in a periodic perforated domain.