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Multi-scale method for the quasi-periodic structures of composite materials |
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| Authors: | F. Su Z. XuJ.Z. Cui Q.L. Dong |
| Affiliation: | a Department of Mathematics and Systems Science, National University of Defense Technology, Changsha 410073, China b Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Beijing 100190, China c School of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China |
| Abstract: | In this paper, we shall present a new second-order and two-scale approximate solution of boundary value problems for the linear elasticity systems with quasi-periodic structures by multi-scale analysis. The computation of strain and stress is presented here. This idea can apply to the damage computation of composite materials. Because the computation of the local stress by this method having more precision, it can provide some inspiration for construct optimal design. Finally numerical results show that the method presented in this paper is effective and reliable. |
| Keywords: | Multi-scale analysis Quasi-periodic structure Finite element method Homogenization method Correct term |
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