Macroscopic constitutive model for ergodic and non-ergodic lead-free relaxors

Streich FA, Martin A, Webber KG, Kamlah M (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Journal of Intelligent Material Systems and Structures SAGE Publications (UK and US)

Abstract

A fully electromechanically coupled, three dimensional phenomenological constitutive model for relaxor ferroelectric materials was developed for the use in a finite-element-method (FEM) solution procedure. This macroscopic model was used to simulate the macroscopic electromechanical response of lead-free ergodic 0.94Na(1/2)Bi(1/2)TiO(3) -0.06BaTiO(3) and non-ergodic 0.90Na(1/2)Bi(1/2)TiO(3) - 0.06BaTiO(3) - 0.04K(0.5)Na(0.5)NbO(3) relaxor materials. The presented constitutive model is capable of accounting for the observed pinched hysteretic response as well as non-deviatoric polarization induced strain and internal order transitions. Time integration of the history dependent internal variables is done with a predictor-corrector integration scheme. The adaptability of the constitutive model regarding the pinching of the hystereses is shown. Simulations are compared to experimental observations.

Authors with CRIS profile

Kyle Grant Webber Lehrstuhl für Glas und Keramik (WW3)

Involved external institutions

Karlsruhe Institute of Technology (KIT)

Germany (DE) Nagoya Institute of Technology / 名古屋工業大学 Nagoya Kōgyō Daigaku

Japan (JP)

How to cite

APA:

Streich, F.A., Martin, A., Webber, K.G., & Kamlah, M. (2021). Macroscopic constitutive model for ergodic and non-ergodic lead-free relaxors. Journal of Intelligent Material Systems and Structures. https://doi.org/10.1177/1045389X211038680

MLA:

Streich, Friedemann A., et al. "Macroscopic constitutive model for ergodic and non-ergodic lead-free relaxors." Journal of Intelligent Material Systems and Structures (2021).

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