Details
Original language | English |
---|---|
Article number | 48 |
Journal | Computation |
Volume | 13 |
Issue number | 2 |
Publication status | Published - 9 Feb 2025 |
Externally published | Yes |
Abstract
This paper presents a numerical homogenization method for estimating the effective converse flexoelectric coefficients. A 2D model made of two-phase composite is developed at the microscale in consideration of a representative volume element that includes a continuous flexoelectric fiber embedded in a pure elastic matrix. In the implementation, the constitutive equations are derived from the electromechanical enthalpy accounting for higher-order coupling terms. Electric boundary conditions associated with an inhomogeneous electric field are imposed, allowing the approximation of the generated mechanical strains and stresses. Accordingly, the numerical simulations yield the overall equivalent converse flexoelectricity tensor for the longitudinal, transversal, and shear couplings. The results showed that the composite undergoes an obvious straining, which creates actuation due to the converse effect. The components of the homogenized longitudinal and transverse coefficients were found to be dependent on the volume fraction and elastic properties of the constituents.
Keywords
- converse flexoelectricity, electromechanical coupling, flexoelectric nanocomposites, numerical homogenization
ASJC Scopus subject areas
- Mathematics(all)
- Theoretical Computer Science
- Computer Science(all)
- General Computer Science
- Mathematics(all)
- Modelling and Simulation
- Mathematics(all)
- Applied Mathematics
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In: Computation, Vol. 13, No. 2, 48, 09.02.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Numerical Homogenization Method Applied to Evaluate Effective Converse Flexoelectric Coefficients
AU - Hamdia, Khader M.
N1 - Publisher Copyright: © 2025 by the author.
PY - 2025/2/9
Y1 - 2025/2/9
N2 - This paper presents a numerical homogenization method for estimating the effective converse flexoelectric coefficients. A 2D model made of two-phase composite is developed at the microscale in consideration of a representative volume element that includes a continuous flexoelectric fiber embedded in a pure elastic matrix. In the implementation, the constitutive equations are derived from the electromechanical enthalpy accounting for higher-order coupling terms. Electric boundary conditions associated with an inhomogeneous electric field are imposed, allowing the approximation of the generated mechanical strains and stresses. Accordingly, the numerical simulations yield the overall equivalent converse flexoelectricity tensor for the longitudinal, transversal, and shear couplings. The results showed that the composite undergoes an obvious straining, which creates actuation due to the converse effect. The components of the homogenized longitudinal and transverse coefficients were found to be dependent on the volume fraction and elastic properties of the constituents.
AB - This paper presents a numerical homogenization method for estimating the effective converse flexoelectric coefficients. A 2D model made of two-phase composite is developed at the microscale in consideration of a representative volume element that includes a continuous flexoelectric fiber embedded in a pure elastic matrix. In the implementation, the constitutive equations are derived from the electromechanical enthalpy accounting for higher-order coupling terms. Electric boundary conditions associated with an inhomogeneous electric field are imposed, allowing the approximation of the generated mechanical strains and stresses. Accordingly, the numerical simulations yield the overall equivalent converse flexoelectricity tensor for the longitudinal, transversal, and shear couplings. The results showed that the composite undergoes an obvious straining, which creates actuation due to the converse effect. The components of the homogenized longitudinal and transverse coefficients were found to be dependent on the volume fraction and elastic properties of the constituents.
KW - converse flexoelectricity
KW - electromechanical coupling
KW - flexoelectric nanocomposites
KW - numerical homogenization
UR - http://www.scopus.com/inward/record.url?scp=85218910564&partnerID=8YFLogxK
U2 - 10.3390/computation13020048
DO - 10.3390/computation13020048
M3 - Article
AN - SCOPUS:85218910564
VL - 13
JO - Computation
JF - Computation
SN - 2079-3197
IS - 2
M1 - 48
ER -