Micromechanical modeling of time-dependent and nonlinear responses of magnetostrictive polymer composites

Kuo Jung Shen, Chien hong Lin

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


The overall time-dependent and nonlinear responses of two-phase magnetostrictive polymer composites are obtained by coupling micromechanical analysis for magnetoelastic coupled composites with a time-integration algorithm for thermorheologically complex materials. The nonlinear magnetoelastic behavior is due to large magnetic driving fields while the nonlinear viscoelastic response is associated with stress and temperature. Because of the material nonlinearity of these constituents, linearized constitutive relations are first defined for obtaining the trial overall responses of the magnetostrictive composites followed by an iterative scheme in order to correct errors from linearizing the nonlinear responses. The presented micromechanical formulation is applicable to magnetostrictive composites reinforced by continuous fiber, particle, and lamina reinforcements. The predicted responses of the composites are first validated with the experimental data available in the literature. Numerical results are then presented for the magnetostrictive composites with 1–3, 0–3, and 2–2 connectivity in terms of their strain and magnetic flux density responses. Time-dependent and nonlinear behaviors show the different degrees of the dependency on microstructural geometry, reinforcement volume fraction, environmental temperature, and loading rate of magnetic and mechanical inputs.

Original languageEnglish
Pages (from-to)983-1003
Number of pages21
JournalActa Mechanica
Issue number3
Publication statusPublished - 2021 Mar

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanical Engineering


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