Non-linear constitutive modeling of ferroelectrics

CM Landis - Current Opinion in Solid State and Materials Science, 2004 - Elsevier
Due to the large coupling between their electrical and mechanical properties, ferroelectric
ceramics are increasingly being implemented in novel devices. This review reports on …

Continuum thermodynamics of ferroelectric domain evolution: Theory, finite element implementation, and application to domain wall pinning

Y Su, CM Landis - Journal of the Mechanics and Physics of Solids, 2007 - Elsevier
A continuum thermodynamics framework is devised to model the evolution of ferroelectric
domain structures. The theory falls into the class of phase-field or diffuse-interface modeling …

A phenomenological multi-axial constitutive law for switching in polycrystalline ferroelectric ceramics

RM McMeeking, CM Landis - International Journal of Engineering Science, 2002 - Elsevier
A phenomenological constitutive law for ferroelectric switching due to multi-axial mechanical
and electrical loading of a polycrystalline material is developed. The framework of the law is …

Microstructurally-guided explicit continuum models for isotropic magnetorheological elastomers with iron particles

D Mukherjee, L Bodelot, K Danas - International Journal of Non-Linear …, 2020 - Elsevier
This work provides a family of explicit phenomenological models both in the F− H and F− B
variable space. These models are derived directly from an analytical implicit …

[图书][B] Hybrid and incompatible finite element methods

THH Pian, CC Wu - 2005 - taylorfrancis.com
While the theory and application of finite elements methods can be extended to
incompatible, hybrid, and mixed element methods, important issues, such as determining …

A phase-field model for fracture in piezoelectric ceramics

ZA Wilson, MJ Borden, CM Landis - International Journal of Fracture, 2013 - Springer
A phase-field model is presented for modeling the fracture of piezoelectric ceramics. The
implementation of several different crack face boundary conditions, including conducting …

Variational principles in dissipative electro‐magneto‐mechanics: a framework for the macro‐modeling of functional materials

C Miehe, D Rosato, B Kiefer - International Journal for …, 2011 - Wiley Online Library
This paper presents a general framework for the macroscopic, continuum‐based formulation
and numerical implementation of dissipative functional materials with electro‐magneto …

Effective response of classical, auxetic and chiral magnetoelastic materials by use of a new variational principle

K Danas - Journal of the Mechanics and Physics of Solids, 2017 - Elsevier
This work provides a rigorous analysis of the effective response, ie, average magnetization
and magnetostriction, of magnetoelastic composites that are subjected to overall magnetic …

Advances in developing electromechanically coupled computational methods for piezoelectrics/ferroelectrics at multiscale

D Fang, F Li, B Liu, Y Zhang… - Applied …, 2013 - asmedigitalcollection.asme.org
Piezoelectrics and ferroelectrics have been widely used in modern industries because of
their peculiar electromechanical coupling properties, quick response, and compact size. In …

Nonlinear electroelastostatics: a variational framework

R Bustamante, A Dorfmann, RW Ogden - Zeitschrift für angewandte …, 2009 - Springer
Different formulations of the constitutive laws and governing equations for nonlinear
electroelastic solids are reviewed and two new variational principles for electroelastostatics …