New mixed finite elements for the discretization of piezoelectric structures or macro-fiber composites. (September 2018)

• Record Type: Journal Article
• Authors: Pechstein, Astrid S; Meindlhumer, Martin; Humer, Alexander
• Other Names: Benjeddou Ayech guest-editor.
• Is Part Of: Journal of intelligent material systems and structures. Volume 29:Number 16(2018)
• Page Start: 3266
• Page End: 3283
• Publication Date: 2018-09
• Subjects: Mixed finite elements -- piezoelasticity -- macro-fiber composites -- Reissner's principle; Smart materials -- Periodicals; Intelligent control systems -- Periodicals; Artificial intelligence -- Periodicals; Matériaux intelligents -- Périodiques; Commande intelligente -- Périodiques; Intelligence artificielle -- Périodiques; 620.11
• DOI: 10.1177/1045389X18781026
• Languages: English
• ISSNs: 1045-389X

Abstract

We propose a new three-dimensional formulation based on the mixed tangential-displacement normal-normal-stress method for elasticity. In elastic tangential-displacement normal-normal-stress elements, the tangential component of the displacement field and the normal component of the stress vector are degrees of freedom and continuous across inter-element interfaces. Tangential-displacement normal-normal-stress finite elements have been shown to be locking-free with respect to shear locking in thin elements, which makes them suitable for the discretization of laminates or macro-fiber composites. In the current paper, we extend the formulation to piezoelectric materials by adding the electric potential as degree of freedom.