Chemo-mechanical coupling analysis of composites by second-order multiscale asymptotic expansion
- 127 Downloads
A novel second-order multiscale asymptotic expansion is developed in this work to analyze chemo-mechanical properties of composites with periodic microstructure. The chemo-mechanical coupling model which considers mutual interaction between the displacement and concentration fields of composites is introduced at first. Then, the second-order multiscale formulas based on homogenization methods and multiscale asymptotic expansion for evaluating the chemo-mechanical coupling problems are proposed, including the microscale cell functions, homogenized coefficients and homogenized equations. Further, the related numerical algorithms on the basis of the proposed multiscale models are brought forward. Finally, by some representative examples, the efficiency and accuracy of the presented algorithms are verified. The numerical results clearly illustrate that the second-order multiscale methods proposed in this work are effective and valid to predict the chemo-mechanical coupling properties, and can capture the microscale behavior of the composites accurately.
KeywordsSecond-order multiscale algorithms Chemo-mechanical analysis Homogenization Periodic composites
This work is supported by the Fundamental Research Funds for the Central Universities, and also the National Natural Science Foundation of China (11701123).
- 17.Sun, Y., Cao, M.X., Yang, Z.Q.: Mechanical behavior of cracked solid electrolyte under the coupled mechanical and chemical fields. Chin. J. Comput. Mech. 34(5), 657–664 (2017)Google Scholar
- 44.Bourgat, J.F.: Numerical experiments of the homogenization method for operators with periodic coefficients. In: Proceedings of Third International Symposium on Computing Methods in Applied Sciences and Engineering, Lecture Notes in Mathematics (Versailles, 1977), vol. 704, pp. 330–356, Springer, Berlin, (1979)Google Scholar
- 48.Cui, J.Z.: The two-scale expression of the solution for the structure with several sub-domains of small periodic configurations. In: Invited Presentation on “Workshop on Scientific Computing 99”, Hong Kong, (1996)Google Scholar