Comptes Rendus
Asymptotic curved interface models in piezoelectric composites
Comptes Rendus. Mécanique, Volume 344 (2016) no. 10, pp. 744-749.

We study the electromechanical behavior of a thin interphase, constituted by a piezoelectric anisotropic shell-like thin layer, embedded between two generic three-dimensional piezoelectric bodies by means of the asymptotic analysis in a general curvilinear framework. After defining a small real dimensionless parameter ε, which will tend to zero, we characterize two different limit models and their associated limit problems, the so-called weak and strong piezoelectric curved interface models, respectively. Moreover, we identify the non-classical electromechanical transmission conditions at the interface between the two three-dimensional bodies.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2016.08.001
Mots clés : Asymptotic analysis, Piezoelectric materials, Curved interfaces
Michele Serpilli 1

1 Department of Civil and Building Engineering, and Architecture, Polytechnic University of Marche, via Brecce Bianche, 60131 Ancona, Italy
@article{CRMECA_2016__344_10_744_0,
     author = {Michele Serpilli},
     title = {Asymptotic curved interface models in piezoelectric composites},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {744--749},
     publisher = {Elsevier},
     volume = {344},
     number = {10},
     year = {2016},
     doi = {10.1016/j.crme.2016.08.001},
     language = {en},
}
TY  - JOUR
AU  - Michele Serpilli
TI  - Asymptotic curved interface models in piezoelectric composites
JO  - Comptes Rendus. Mécanique
PY  - 2016
SP  - 744
EP  - 749
VL  - 344
IS  - 10
PB  - Elsevier
DO  - 10.1016/j.crme.2016.08.001
LA  - en
ID  - CRMECA_2016__344_10_744_0
ER  - 
%0 Journal Article
%A Michele Serpilli
%T Asymptotic curved interface models in piezoelectric composites
%J Comptes Rendus. Mécanique
%D 2016
%P 744-749
%V 344
%N 10
%I Elsevier
%R 10.1016/j.crme.2016.08.001
%G en
%F CRMECA_2016__344_10_744_0
Michele Serpilli. Asymptotic curved interface models in piezoelectric composites. Comptes Rendus. Mécanique, Volume 344 (2016) no. 10, pp. 744-749. doi : 10.1016/j.crme.2016.08.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.08.001/

[1] P.G. Ciarlet Mathematical Elasticity, vol. III, Theory of Shells, North-Holland, Amsterdam, 1997

[2] T. Weller; C. Licht Asymptotic modeling of thin piezoelectric plates, Ann. Solid Struct. Mech., Volume 1 (2010), pp. 173-188

[3] F. Bonaldi; G. Geymonat; F. Krasucki; M. Serpilli An asymptotic plate model for magneto-electro-thermo-elastic sensors and actuators, Math. Mech. Solids (2015) | DOI

[4] G. Geymonat; F. Krasucki; S. Lenci Mathematical analysis of a bonded joint with a soft thin adhesive, Math. Mech. Solids, Volume 4 (1999), pp. 201-225

[5] F. Krasucki; A. Münch; Y. Ousset Mathematical analysis of nonlinear bonded joint models, Math. Models Methods Appl. Sci., Volume 14 (2004), pp. 1-22

[6] A.-L. Bessoud; F. Krasucki; M. Serpilli Plate-like and shell-like inclusions with high rigidity, C. R. Acad. Sci. Paris, Ser. I, Volume 346 (2008), pp. 697-702

[7] A.-L. Bessoud; F. Krasucki; M. Serpilli Asymptotic analysis of shell-like inclusions with high rigidity, J. Elasticity, Volume 103 (2011), pp. 153-172

[8] M. Serpilli Mathematical modeling of weak and strong piezoelectric interfaces, J. Elasticity, Volume 121 (2015) no. 2, pp. 235-254

[9] M. Serpilli Asymptotic interface models in magneto-electro-thermo-elastic composites, Meccanica (2016) | DOI

[10] A. Javili; S. Kaessmair; P. Steinmann General imperfect interfaces, Comput. Methods Appl. Mech. Eng., Volume 275 (2014), pp. 76-97

Cité par Sources :

Commentaires - Politique


Ces articles pourraient vous intéresser

An asymptotic model of a multimaterial with a thin piezoeletric interphase

Michele Serpilli

C. R. Méca (2014)


Finite element formulation for active functionally graded thin-walled structures

Hanen Jrad; Hanen Mallek; Mondher Wali; ...

C. R. Méca (2018)


Asymptotic modeling of piezoelectric plates with electric field gradient

Thibaut Weller; Christian Licht

C. R. Méca (2012)