A condensed microelectromechanical approach for modeling tetragonal ferroelectrics. (February 2015)

• Record Type: Journal Article
• Authors: Lange, Stephan; Ricoeur, Andreas
• Is Part Of: International journal of solids and structures. Volume 54(2015)
• Page Start: 100
• Page End: 110
• Publication Date: 2015-02
• Subjects: Tetragonal ferroelectrics -- Grain interaction -- Residual stress -- Hysteresis loops -- Compressive load; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2014.11.004
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: A model for ferroelectric solids with tetragonal unit cells is presented. It is microelectromechanically motivated considering discrete switching on the level of unit cells and quasi-continuous evolution of inelastic fields on the domain wall level. The efficiency of the approach is due to the fact that an implementation within the framework of a numerical discretization scheme is not required to calculate smooth hysteresis loops or residual stresses emanating from strain incompatibilities or charges in a polycrystalline material. The condensed approach, on the other hand, can be combined with the FEM yielding extended elements where each integration point represents a polycrystalline representative volume element. Multiple grain interactions are modeled applying an averaging technique, embedding grains into an effective electromechanical medium. Due to the comparably low implementation effort, the approach is a useful means for the development of a variety of nonlinear constitutive models of functional materials like morphotropic PZT compositions, antiferroelectrics or ferromagnets. The feasibility of the approach is demonstrated by comparison with Finite Element calculations.