A numerical framework for modeling flexoelectricity and Maxwell stress in soft dielectrics at finite strains

Abstract : In the present work, a numerical finite element framework is introduced to model and solve the response of nonlinear soft dielectrics, including the effects of Maxwell stress and flexoelectricity at finite strains. Weak forms, finite element discretizations and constistent linearizations, able to handle strain gradient in the context of flexo-electricity are introduced. Numerical algorithms for the treatment of a soft dielectric in a surrounding medium are presented, more specifically to handle the effects of discontinuities of the Maxwell stress at the interfaces. Finally, several benchmarks are proposed to assess the present formulations and numerical schemes, through applications of special cases of interest: induced piezoelectricity in non-piezoelectric materials due to coupling of Maxwell stress and electrets, flexoelectricity, or stretching of electroactive soft dielectrics subjected to an external electric field.
Document type :
Journal articles
Complete list of metadatas

Cited literature [43 references]  Display  Hide  Download

https://hal-upec-upem.archives-ouvertes.fr/hal-01391217
Contributor : J. Yvonnet <>
Submitted on : Thursday, November 3, 2016 - 9:06:17 AM
Last modification on : Wednesday, September 4, 2019 - 1:52:14 PM
Long-term archiving on : Saturday, February 4, 2017 - 12:59:01 PM

File

[63] PP.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Julien Yvonnet, Liping Liu. A numerical framework for modeling flexoelectricity and Maxwell stress in soft dielectrics at finite strains. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2017, 313, pp.450 - 482. ⟨10.1016/j.cma.2016.09.007⟩. ⟨hal-01391217⟩

Share

Metrics

Record views

299

Files downloads

533