Fully-coupled electro-magneto-elastic behavior of unidirectional multiphased composites via finite-volume homogenization. (March 2021)

• Record Type: Journal Article
• Authors: Chen, Qiang; Chen, Weiqiu; Wang, Guannan
• Is Part Of: Mechanics of materials. Volume 154(2021)
• Publication Date: 2021-03
• Subjects: Finite-volume micromechanics -- Coupled electro-magneto-elastic behavior -- Fibrous composites -- Homogenization and localization -- Optimization; Strength of materials -- Periodicals; Mechanics, Applied -- Periodicals; Résistance des matériaux -- Périodiques; Mécanique appliquée -- Périodiques; Mechanics, Applied; Strength of materials; Periodicals; Electronic journals; 620.11
• DOI: 10.1016/j.mechmat.2020.103553
• Languages: English
• ISSNs: 0167-6636

Abstract

Abstract: The effective and localized electro-magneto-elastic behavior of periodic unidirectional composites is investigated in this work. Instead of adopting the classical micromechanics models or variational principle-based finite-element (FE) techniques, the finite-volume direct averaging micromechanics (FVDAM) is extended to fulfill this task by incorporating fully-coupled electro-magneto-elastic constitutive relations. Consistent with the mathematical homogenization theories, the mechanical displacements and electric/magnetic potentials are partitioned using two-scale expansion involving the macroscopic and fluctuating contributions. The generalized local stiffness matrices are constructed explicitly by relating the surface-averaged tractions, electric displacements, and magnetic inductions to the surface-averaged mechanical displacements and electric/magnetic potentials, followed which the continuity and periodic boundary conditions are applied. The homogenized coefficients and localized stress, electric/magnetic field distributions are validated extensively against the exact generalized Eshelby solution and an in-house FE program, as well as the experimental measurements, where perfect agreements are observed for all cases. The efficiency and convergence of the proposed multiphysics FVDAM (MFVDAM) are tested by comparing the execution time and localized fields as a function of mesh discretization, with the multiphysics FE (MFEM) results as references. Besides, the MFVDAM is encapsulated into the particle swarm optimization algorithm to deduce the optimal fiber volume fraction at which maximum magnetoelectric coupling effect may occur in the composite system with piezomagnetic ceramics reinforced with piezoelectric unidirectional fibers. Highlights: Fully coupled multiphysics finite‐volume homogenization is proposed for the first time. Generalized Eshelby and finite‐element solutions are developed with electro‐magneto‐elastic capabilities for validation. Homogenized and localized responses of piezoelectric‐piezomagnetic composites are investigated. Particle swarm optimization is introduced to identify maximum magnetoelectric coupling effect by tailoring fiber content.