[HTML][HTML] A ferroelectric and ferroelastic 3D hexahedral curvilinear finite element

W Zouari, TB Zineb, A Benjeddou - International journal of solids and …, 2011 - Elsevier
W Zouari, TB Zineb, A Benjeddou
International journal of solids and structures, 2011Elsevier
An isoparametric 3D electromechanical hexahedral finite element integrating a 3D
phenomenological ferroelectric and ferroelastic constitutive law for domain switching effects
is proposed. The model presents two internal variables which are the ferroelectric
polarization (related to the electric field) and the ferroelastic strain (related to the mechanical
stress). An implicit integration technique of the constitutive equations based on the return-
mapping algorithm is developed. The mechanical strain tensor and the electric field vector …
An isoparametric 3D electromechanical hexahedral finite element integrating a 3D phenomenological ferroelectric and ferroelastic constitutive law for domain switching effects is proposed. The model presents two internal variables which are the ferroelectric polarization (related to the electric field) and the ferroelastic strain (related to the mechanical stress). An implicit integration technique of the constitutive equations based on the return-mapping algorithm is developed. The mechanical strain tensor and the electric field vector are expressed in a curvilinear coordinate system in order to handle the transverse isotropy behavior of ferroelectric ceramics. The hexahedral finite element is implemented into the commercial finite element code Abaqus® via the subroutine user element. Some linear (piezoelectric) and non linear (ferroelectric and ferroelastic) benchmarks are considered as validation tests.
Elsevier
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