Theory of indentation on multiferroic composite materials

Chen, Weiqiu; Pan, Ernian; Wang, Huiming; Zhang, Chuanzeng

doi:10.1016/j.jmps.2010.07.012

Cited by 143 publications

(48 citation statements)

References 45 publications

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“…For rigid piezoelectric materials, the corresponding field distributions have been calculated. 24,25,[68][69][70][71] Similarly to classical Hertzian indentation, the pressure (and electric field) is maximal at the periphery of the contact area and decreases away from it, and both in-plane and out of plane components are present. Under the conditions inducing switching, the concentration of field below tip serve as potential nucleation centers, with the type of switching process being determined by the interplay between materials and tip field symmetry.…”

Section: Ia Ferroelastic Mechanismmentioning

confidence: 99%

Pressure-induced switching in ferroelectrics: Phase-field modeling, electrochemistry, flexoelectric effect, and bulk vacancy dynamics

2017

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United States Government retains a non-exclusive, paid-up, irrevocable, world-wide license to publish or reproduce the published form of this manuscript, or allow others to do so, for the United States Government purposes. The Department of Energy will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan (http://energy.gov/downloads/doe-public-access-plan). Pressure-induced polarization switching in ferroelectric thin films has emerged as a powerful method for domain patterning, allowing to create predefined domain patterns on free surfaces and under thin conductive top electrodes. However, the mechanisms for pressure induced polarization switching in ferroelectrics remain highly controversial, with flexoelectricity, polarization rotation and suppression, and bulk and surface electrochemical processes all being potentially relevant. Here we classify possible pressure induced switching mechanisms, perform elementary estimates, and study in depth using phase-field modelling. We show that magnitudes of these effects are remarkably close, and give rise to complex switching diagrams as a function of pressure and film thickness with non-trivial topology or switchable and non-switchable regions.

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Section: Ia Ferroelastic Mechanismmentioning

confidence: 99%

Pressure-induced switching in ferroelectrics: Phase-field modeling, electrochemistry, flexoelectric effect, and bulk vacancy dynamics

2017

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“…First, the methodology is validated by comparison with the analytical results presented in [3], where the indentation response of a transversely isotropic MEE solid is considered. Then a fully orthotropic MEE solid indentation is solved under frictional and non-isolated MEE indentation conditions.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…2(b) shows. The material considered in this example was presented in [3] and it presents no coupling between the electric and magnetic field. It is a MEE composite material made of piezoelectric (BaTiO 3 ) and magnetostrictive (CoFe 2 O 4 ) phases, whose material properties were estimated using the rule of mixture according to the volume fraction: χ = 0.5.…”

Section: Indentation Response Of a Transversely Isotropic Mee Solidmentioning

confidence: 99%

“…One of the first works which study this problem was due to Hou et al [2], who obtain the Boussinesq and Cerruti solutions and apply them to the frictional Hertz problem in transversely isotropic materials. Analytical solutions for the half-space indentation by rigid flat-ended, conical, and spherical punches in transversely isotropic MEE materials have been presented and discussed in detail by Chen et al [3]. Indenters may be in any combination of conducting and insulating for both electric and magnetic fields.…”

Section: Introductionmentioning

confidence: 99%

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3D coupled multifield magneto-electro-elastic contact modelling

Rodríguez-Tembleque

Buroni

Sáez

2016

International Journal of Mechanical Sciences

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Highlights-A numerical procedure for the three-dimensional frictional contact modelling of anisotropic coupled magneto-electro-elastic materials in presence of both electric and magnetic fields is presented.-An orthotropic frictional law is considered, so anisotropy is present both in the bulk and in the surface.-The methodology uses the boundary element method with explicit evaluation of the fundamental solutions in order to compute the magneto-electro-elastic influence coefficients.-The contact model is based on an augmented Lagrangian formulation and it uses an iterative Uzawa scheme of resolution.-Conducting, semi-conducting and insulated electric and/or magnetic indentation conditions, as well as orthotropic frictional contact conditions are considered.-The methodology is validated by comparison with benchmark analytical solutions. Then, additional exploration examples are presented and discussed in detail, revealing that magnetoelectric material coupling, conductivity contact conditions lead to a significant effect on the indentation force and contact pressure distributions.-The influence of friction in electric and magnetic potential responses has been also proved to be very significant. Moreover, tangential loads exhibit an important influence both on the maximum values of the electric and magnetic potentials as well as on their distributions. AbstractThe present work deals with the general contact problem for coupled magnetoelectro-elastic materials. Despite of the relevant technological applications, this topic of research has been treated only in some analytical works. But analytical solutions lack the generality of numerical methodologies, being restricted typically to simple geometries, loading conditions, idealized contact conditions and mostly taking into account transversely isotropic material symmetry with the symmetry axis normal to the contact surface. In this work, a numerical procedure for the three-dimensional frictional contact modelling of anisotropic coupled magneto-electro-elastic materials in presence of both electric and magnetic fields is presented for the first time. An orthotropic frictional law is considered, so anisotropy is present both in the bulk and in the surface. The methodology uses the boundary element method with explicit evaluation of the fundamental solutions in order to compute the magneto-electro-elastic influence coefficients. The contact model is based on an augmented Lagrangian formulation and it uses an iterative Uzawa scheme of resolution. Conducting, semi-conducting and insulated electric and/or magnetic indentation conditions, as well as orthotropic frictional contact conditions are considered. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 coupling, conductivity contact conditions lead to a significant effect on the indentation force and contact pressure dis...

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“…However, there is no parallel work in the domain of magneto -electro -thermo -elasticity. In the recent paper by Chen et al (2010) the authors obtained the coupled fields for indentation of a multiferroic composite half -space for three common indenters: flat -ended, conical and spherical. The complete contact problem is considered under the assumption of circular contact region.…”

Section: Introductionmentioning

confidence: 99%

Contact Problem Of Conducting And Heated Punch On A Multifield Foundation

Rogowski¹

2015

International Journal of Applied Mechanics and Engineering

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The solution for a multifield material subjected to temperature loading in a circular region is presented in an explicit analytical form. The study concerns the steady -state thermal loading infinite region (heated embedded inclusion), half -space region and two -constituent magneto -electro -thermo -elastic material region. The new mono -harmonic potential functions, obtained by the author, are used in the analysis of punch problem. The more interested case in which the contact region is annular is analyzed. By using the methods of triple integral equations and series solution technique the solution for an indentured multifield substrate over an annular contact region is given. The sensitivity analysis of obtained indentation parameters shows some interesting points. In particular, it shows that the increasing of the applied electric and magnetic potentials reduces the indentation depth in multifield materials.

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Theory of indentation on multiferroic composite materials

Cited by 143 publications

References 45 publications

Pressure-induced switching in ferroelectrics: Phase-field modeling, electrochemistry, flexoelectric effect, and bulk vacancy dynamics

Pressure-induced switching in ferroelectrics: Phase-field modeling, electrochemistry, flexoelectric effect, and bulk vacancy dynamics

3D coupled multifield magneto-electro-elastic contact modelling

Contact Problem Of Conducting And Heated Punch On A Multifield Foundation

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