Multi-scale method for the quasi-periodic structures of composite materials

作者：Su, F.^*; Xu, Z.; Cui, J. Z.; Dong, Q. L.

来源：Applied Mathematics and Computation, 2011, 217(12): 5847-5852.

DOI：10.1016/j.amc.2010.12.068

• Multi-scale analysis
• Quasi-periodic structure
• Finite element method
• Homogenization method
• Correct term

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.

• 出版日期2011-2-15
• 单位中国科学院数学与系统科学研究院; 中国人民解放军国防科学技术大学