Variational asymptotic homogenization of heterogeneous electromagnetoelastic materials. The variational asymptotic method is used to develop a micromechanics model for predicting the effective properties and local fields of heterogeneous electromagnetoelastic materials. Starting from the total electromagnetic enthalpy of the heterogeneous continuum, we formulate the micromechanics model as a constrained minimization problem taking advantage of the fact that the size of the microstructure is small compared to the macroscopic size of the material. To handle real microstructures in engineering applications, we implement this new model using the finite element method. A few examples are used to demonstrate the application and accuracy of this theory and the companion computer program, VAMUCH. The present results are compared with those available in the literature.

References in zbMATH (referenced in 15 articles , 1 standard article )

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  1. Gao, Yahe; Xing, Yufeng; Huang, Zhiwei; Li, Min; Yang, Yang: An assessment of multiscale asymptotic expansion method for linear static problems of periodic composite structures (2020)
  2. Yang, Zhiqiang; Sun, Yi; Guan, Tianyu; Dong, Hao: A high-order three-scale approach for predicting thermo-mechanical properties of porous materials with interior surface radiation (2020)
  3. Blal, Nawfal; Gravouil, Anthony: Non-intrusive data learning based computational homogenization of materials with uncertainties (2019)
  4. Zhang, Yongcun; Shang, Shipeng; Liu, Shutian: A novel implementation algorithm of asymptotic homogenization for predicting the effective coefficient of thermal expansion of periodic composite materials (2017)
  5. Tang, Tian; Felicelli, Sergio D.: Micromechanical investigations of polymer matrix composites with shape memory alloy reinforcement (2015)
  6. Tang, Tian; Felicelli, Sergio D.: Micromechanical models for time-dependent multiphysics responses of polymer matrix smart composites (2015)
  7. Hadjiloizi, D. A.; Georgiades, A. V.; Kalamkarov, A. L.; Jothi, S.: Micromechanical modeling of piezo-magneto-thermo-elastic composite structures. Part II: Applications (2013)
  8. Tang, Tian; Felicelli, Sergio D.: A multiscale model for electro-thermo-elasto-plastic piezoelectric metal matrix multifunctional composites (2013)
  9. Chakraborty, A.: Variational asymptotic micromechanics modeling of heterogeneous porous materials (2011)
  10. Temizer, I.; Wriggers, P.: Homogenization in finite thermoelasticity (2011)
  11. Altay, Gülay; Dökmeci, M. Cengiz: On the fundamental equations of electromagnetoelastic media in variational form with an application to shell/laminae equations (2010)
  12. Tang, Tian; Yu, Wenbin: Effective nonlinear behavior of electrostrictive multiphase composites: a micromechanical study (2010)
  13. Oskay, Caglar: Two-level multiscale enrichment methodology for modeling of heterogeneous plates (2009)
  14. Tang, Tian; Yu, Wenbin: Variational asymptotic homogenization of heterogeneous electromagnetoelastic materials (2008)
  15. Yu, Wenbin; Tang, Tian: A variational asymptotic micromechanics model for predicting thermoelastic properties of heterogeneous materials (2007)