Fully-coupled piezoelectric assumed-strain least-squares nonlinear shell

• Type: Article in International Scientific Journal
• Date: 2018

Authors

J. César de Sá (Author) FEUP; P.Areias (Author) Other; T.Rabczuk (Author) Other; C. A. Mota Soares (Author) Other

Journal

Title: Thin-Walled Structures

Vol. 131

Pages: 631-645

ISSN: 0263-8231

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 4 Citations

Other information

Authenticus ID: P-00P-E1F

DOI: 10.1016/j.tws.2018.07.041

Abstract (EN): Relevance of finite strain shell piezoelectric analysis is significant due to the general use of polyvinylidene fluoride (PVDF). A finite-strain geometrically exact shell model for the analysis of piezoelectric laminated structures is introduced. An assumed-strain formulation is employed, with least-squares fitting of contravariant linear stress fields. This allows the condensation of internal degrees-of-freedom corresponding to the assumed strains. The resulting piezoelectric shell has 8 degrees-of-freedom in each node, with 3 position/displacement degrees-of-freedom, 3 rotation parameters and the upper and lower electrostatic potential at the nodes. This contrasts with available formulations where only one electric degree-of-freedom is considered. A total of 32 degrees-of-freedom in each 4-node element are used. In term of implementation, we use a generalized strain and generalized stress formulation to reproduce the conventional finite element organization. Six examples are presented, with transversely isotropic and orthotropic cases, including finite strains and asymmetric plies. Results show a remarkably good agreement with the sources and we achieve higher values of actuation.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15