Linear and Nonlinear Constitutive Model for Piezoelectricity in ALEGRA-FE

Technical Report · Wed Oct 18 04:00:00 EDT 2017

DOI:https://doi.org/10.2172/1596206· OSTI ID:1596206

Dong, Wen ^[1]

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1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

This report develops and documents linear and nonlinear constitutive relations implemented in ALEGRA-FE (ferroelectric). A thermodynamic framework is created to describe the electromechanical system in the form of a free energy functional. Constitutive relations are derived by taking series expansions of the free energy functional with respect to the independent fields. First order expansion terms yield linear constitutive relations and higher order expansion terms yield non-linear constitutive relations. This document serves as supplement to Section 4 of Sandia Report SAND2013-7363, Rev 3. Methods for implementation of kinematic relations of piezoelectric models and rotation of material principal axes are covered in the supplemented report. Additional discussion on phase velocity calculation is also presented.

• Research Organization: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• DOE Contract Number: AC04-94AL85000; NA0003525
• OSTI ID: 1596206
• Report Number(s): SAND--2017-11360; 657831
• Country of Publication: United States
• Language: English

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