Journal
APPLIED MATHEMATICAL MODELLING
Volume 60, Issue -, Pages 634-660Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2018.03.047
Keywords
Multiscale asymptotic analysis; Thermoelastic problems; Composite materials; Orthogonal periodic configurations; SOTS numerical algorithm
Funding
- Fundamental Research Funds for the Central Universities [JB180703]
- National Natural Science Foundation of China [11471262, 11501449, 11325212]
- National Basic Research Program of China [2012CB025904, 2014CB744100]
- State Scholarship Fund of China Scholarship Council [201606290191]
- Center for high performance computing of Northwestern Polytechnical University
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This study develops a novel multiscale computational method for thermoelastic problems of composite materials with orthogonal periodic configurations. Firstly, the multiscale asymptotic analysis for these multiscale problems is given successfully, and the formal second-order two-scale approximate solutions for these multiscale problems are constructed based on the above-mentioned analysis. Then, the error estimates for the second-order two-scale (SOTS) solutions are obtained. Furthermore, the corresponding SOTS numerical algorithm based on finite element method (FEM) is brought forward in details. Finally, some numerical examples are presented to verify the feasibility and effectiveness of our multiscale computational method. Moreover, our multiscale computational method can accurately capture the local thermoelastic responses in composite block structure, plate, cylindrical and doubly-curved shallow shells. (C) 2018 Elsevier Inc. All rights reserved.
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