Journal Home > Volume 12 , Issue 4
Friction 2024, 12(4): 632-654 https://doi.org/10.1007/s40544-023-0769-z
Research Article | Open Access | Issue | Published: 16 October 2023

Multiphysical contact of functionally graded magneto-electro-elastic material with imperfect bonding interface

Show Author's Information Yijin SUI,  Haibo ZHANG,  Jieliang ZHAO,  Wenzhong WANG( )
School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China
Keywords:
frictional contact, magneto-electro-elastic material, imperfect interface, functionally graded, electromagnetic fields
Cite this article:
SUI Y, ZHANG H, ZHAO J, et al. Multiphysical contact of functionally graded magneto-electro-elastic material with imperfect bonding interface. Friction, 2024, 12(4): 632-654. https://doi.org/10.1007/s40544-023-0769-z
Download citation
EndNote(RIS)
BibTeX

126

Views

4

Downloads

Citations

1

Crossref

0

WoS

1

Scopus

0

CSCD

Abstract Full text About this article

Three-dimensional (3D) frictional contact model of functionally graded magneto-electro-elastic (FGMEE) material with a conducting spherical punch under electromagnetic fields is presented. Two types of imperfect bonding interface of layers, dislocation-like interface and force-like interface, are considered. Frequency response functions (FRFs) for multilayered MEE material with imperfect interface subjected to unit mechanical, electric, and magnetic loads are derived. The FRFs are used with the semi-analytical method (SAM) to solve present multiphysical contact problem. The present model is verified by comparing with literatures and the finite element method (FEM) and used to study the contact problem of FGMEE film imperfectly bonded on homogenous MEE half-space under electromagnetic fields. Parametric studies are conducted to reveal the effects of imperfect interfaces and also film properties including gradient index and thickness.


menu
Abstract
Full text
Outline
About this article

Multiphysical contact of functionally graded magneto-electro-elastic material with imperfect bonding interface

Show Author's information Yijin SUI, Haibo ZHANG, Jieliang ZHAO, Wenzhong WANG( )
School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China

Abstract

Three-dimensional (3D) frictional contact model of functionally graded magneto-electro-elastic (FGMEE) material with a conducting spherical punch under electromagnetic fields is presented. Two types of imperfect bonding interface of layers, dislocation-like interface and force-like interface, are considered. Frequency response functions (FRFs) for multilayered MEE material with imperfect interface subjected to unit mechanical, electric, and magnetic loads are derived. The FRFs are used with the semi-analytical method (SAM) to solve present multiphysical contact problem. The present model is verified by comparing with literatures and the finite element method (FEM) and used to study the contact problem of FGMEE film imperfectly bonded on homogenous MEE half-space under electromagnetic fields. Parametric studies are conducted to reveal the effects of imperfect interfaces and also film properties including gradient index and thickness.

Keywords: frictional contact, magneto-electro-elastic material, imperfect interface, functionally graded, electromagnetic fields

References(62)

[1]
Nan C W. Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases. Phys Rev B Condens Matter 50: 6082–6088 (1994)
DOI Google Scholar
[2]
Eerenstein W, Mathur N D, Scott J F. Multiferroic and magnetoelectric materials. Nature 442: 759–765 (2006)
DOI Google Scholar
[3]
Fiebig M, Lottermoser T, Meier D, Trassin M. The evolution of multiferroics. Nature Rev Mater 1: 1–14 (2016)
DOI Google Scholar
[4]
Nan C W, Bichurin M I, Dong S, Viehland D, Srinivasan G. Multiferroic magnetoelectric composites: Historical perspective, status, and future directions. J Appl Phys 103: 031101 (2008)
DOI Google Scholar
[5]
Li Z, Wang J, Lin Y, Nan C W. A magnetoelectric memory cell with coercivity state as writing data bit. Appl Phys Lett 96: 162505 (2010)
DOI Google Scholar
[6]
Yao Y P, Liu Y K, Dong S N, Yin Y W, Yang S W, Li X G. Multi-state resistive switching memory with secure information storage in Au/BiFe0.95Mn0.05O3/La5/8Ca3/ 8MnO3 heterostructure. Appl Phys Lett 100: 193504 (2012)
DOI Google Scholar
[7]
Nan T, Hui Y, Rinaldi M, Sun N X. Self-biased 215 MHz magnetoelectric NEMS resonator for ultra-sensitive DC magnetic field detection. Sci Rep 3: 1985 (2013)
DOI Google Scholar
[8]
Ma J, Hu J, Li Z, Nan C W. Recent progress in multiferroic magnetoelectric composites: From bulk to thin films. Adv Mater 23: 1062–1087 (2011)
DOI Google Scholar
[9]
Ding H, Jiang A. Fundamental solutions for transversely isotropic magneto-electro-elastic media and boundary integral formulation. Sci China Ser E: Technol Sci 46: 607–619 (2003)
DOI Google Scholar
[10]
Chen W, Pan E, Wang H, Zhang C. Theory of indentation on multiferroic composite materials. J Mech Phys Solids 58: 1524–1551 (2010)
DOI Google Scholar
[11]
Li X Y, Zheng R F, Chen W Q. Fundamental solutions to contact problems of a magneto-electro-elastic half-space indented by a semi-infinite punch. Int J Solids Struct 51: 164–178 (2014)
DOI Google Scholar
[12]
Li X Y, Wu F, Jin X, Chen W Q. 3D coupled field in a transversely isotropic magneto-electro-elastic half space punched by an elliptic indenter. J Mech Phys Solids 75: 1–44 (2015)
DOI Google Scholar
[13]
Wu F, Li X Y, Zheng R F, Kang G Z. Theory of adhesive contact on multi-ferroic composite materials: Spherical indenter. Int J Eng Sci 134: 77–116 (2019)
DOI Google Scholar
[14]
Wu F, Li C. Theory of adhesive contact on multi-ferroic composite materials: Conical indenter. Int J Solids Struct 233: 111217 (2021)
DOI Google Scholar
[15]
Wu F, Li C. Partial slip contact problem between a transversely isotropic half-space of multi-ferroic composite medium and a spherical indenter. Mech Mater 161: 104018 (2021)
DOI Google Scholar
[16]
Meng Y, Xu J, Jin Z, Prakash B, Hu Y. A review of recent advances in tribology. Friction 8(2): 221–300 (2020)
DOI Google Scholar
[17]
Meng Y, Xu J, Ma L, Jin Z, Prakash B, Ma T, Wang W. A review of advances in tribology in 2020–2021. Friction 10(10): 1443–1595 (2022)
DOI Google Scholar
[18]
Zhang X, Zhang Y, Jin Z. A semi-analytical approach to the elastic loading behaviour of rough surfaces. Friction 8(5): 970–981 (2020)
DOI Google Scholar
[19]
Yu Y, Suh J. Numerical analysis of three-dimensional thermo-elastic rolling contact under steady-state conditions. Friction 10(4): 630–644 (2022)
DOI Google Scholar
[20]
Zhang X, Wang Z, Shen H, Wang Q J. An efficient model for the frictional contact between two multiferroic bodies. Int J Solids Struct 130: 133–152 (2018)
DOI Google Scholar
[21]
Sui Y, Wang W, Zhang H. Effects of electromagnetic fields on the contact of magneto-electro-elastic materials. Int J Mech Sci 223: 107283 (2022)
DOI Google Scholar
[22]
Xu J Q, Mutoh Y. A normal force on the free surface of a coated material. J Elasticity 73: 147–164 (2003)
DOI Google Scholar
[23]
Bhushan B, Cai S. Dry and wet contact modeling of multilayered rough solid surfaces. Appl Mech Rev 61: 34 (2008)
DOI Google Scholar
[24]
Yang Z, Xu J Q. Three-dimensional solution of concentrated forces in semi-infinite coating materials. Int J Mech Sci 51: 424–433 (2009)
DOI Google Scholar
[25]
Yu C, Wang Z, Wang Q J. Analytical frequency response functions for contact of multilayered materials. Mech Mater 76: 102–120 (2014)
DOI Google Scholar
[26]
Zhang H, Wang W, Zhang S, Zhao Z. Semi-analytical solution of three-dimensional steady state thermoelastic contact problem of multilayered material under friction heating. Int J Thermal Sci 127: 384–399 (2018)
DOI Google Scholar
[27]
Chen Z, Etsion I. Model for the static friction coefficient in a full stick elastic-plastic coated spherical contact. Friction 7(6): 613–624 (2019)
DOI Google Scholar
[28]
Ramirez G, Heyliger P. Frictionless contact in a layered piezoelectric half-space. Smart Mater Struct 12: 612–625 (2003)
DOI Google Scholar
[29]
Wang J H, Chen C Q, Lu T J. Indentation responses of piezoelectric films. J Mech Phys Solids 56: 3331–3351 (2008)
DOI Google Scholar
[30]
Wang J H, Chen C Q. Indentation responses of piezoelectric films ideally bonded to an elastic substrate. Int J Solids Struct 48: 2743–2754 (2011)
DOI Google Scholar
[31]
Liu M, Yang F. Finite element simulation of the effect of electric boundary conditions on the spherical indentation of transversely isotropic piezoelectric films. Smart Mater Struct 21: 105020 (2012)
DOI Google Scholar
[32]
Wu Y F, Yu H Y, Chen W Q. Mechanics of indentation for piezoelectric thin films on elastic substrate. Int J Solids Struct 49: 95–110 (2012)
DOI Google Scholar
[33]
Rodríguez-Tembleque L, Sáez A, Aliabadi M H. Indentation response of piezoelectric films under frictional contact. Int J Eng Sci 107: 36–53 (2016)
DOI Google Scholar
[34]
Su J, Ke L, Wang Y. Axisymmetric frictionless contact of a functionally graded piezoelectric layered half-space under a conducting punch. Int J Solids Struct 90: 45–59 (2016)
DOI Google Scholar
[35]
Hou P, Zhang W. The electro-mechanics of a coating/ substrate system under charged spherical contact. Math Mech Solids 25: 60–96 (2020)
DOI Google Scholar
[36]
Ma J, Ke L, Wang Y. Frictionless contact of a functionally graded magneto-electro-elastic layered half-plane under a conducting punch. Int J Solids Struct 51: 2791–2806 (2014)
DOI Google Scholar
[37]
Ma J, Ke L, Wang Y. Sliding frictional contact of functionally graded magneto-electro-elastic materials under a conducting flat punch. J Appl Mech 82: 011009 (2015)
DOI Google Scholar
[38]
Zhang X, Wang Z, Shen H, Wang Q J. Frictional contact involving a multiferroic thin film subjected to surface magnetoelectroelastic effects. Int J Mech Sci 131–132: 633–648 (2017)
DOI Google Scholar
[39]
Zhang X, Wang Z, Shen H, Wang Q J. Dynamic contact in multiferroic energy conversion. Int J Solids Struct 143: 84–102 (2018)
DOI Google Scholar
[40]
Zhang H, Wang W, Liu Y, Zhao Z. Semi-analytic modelling of transversely isotropic magneto-electro-elastic materials under frictional sliding contact. Appl Math Model 75: 116–140 (2019)
DOI Google Scholar
[41]
Pan E. Three-dimensional green’s functions in anisotropic elastic bimaterials with imperfect interfaces. J Tribol Trans ASME 70: 180–190 (2003)
DOI Google Scholar
[42]
Torskaya E V, Goryacheva I G. The effect of interface imperfection and external loading on the axisymmetric contact with a coated solid. Wear 254: 538–545 (2003)
DOI Google Scholar
[43]
Gharpuray V, Dundurs J, Keer L. A crack terminating at a slipping interface between two materials. J Tribol Trans ASME 58: 960–963 (1991)
DOI Google Scholar
[44]
Yu H Y. A new dislocation-like model for imperfect interfaces and their effect on load transfer, Compos Part A 29: 1057–1062 (1998)
DOI Google Scholar
[45]
Benveniste Y, Miloh T. Imperfect soft and stiff interfaces in two-dimensional elasticity. Mech Mater 33: 309–323 (2001)
DOI Google Scholar
[46]
Wang Z, Yu H, Wang Q. Layer-substrate system with an imperfectly bonded interface: Spring-like condition. Int J Mech Sci 134: 315–335 (2017)
DOI Google Scholar
[47]
Yu H Y, Wei Y N, Chiang F P. Load transfer at imperfect interfaces––dislocation-like model. Int J Eng Sci 40: 1647–1662 (2002)
DOI Google Scholar
[48]
Wang Z, Yu H, Wang Q. Layer-substrate system with an imperfectly bonded interface: Coupled dislocation-like and force-like conditions. Int J Solids Struct 122–123: 91–109 (2017)
DOI Google Scholar
[49]
He T, Wang Z, Wu J. Effect of imperfect coating on the elastohydrodynamic lubrication: Dislocation-like and force-like coating-substrate interfaces. Tribol Int 143: 106098 (2020)
DOI Google Scholar
[50]
Zhang X, Wang Q T. Thermoelastic contact of layered materials with interfacial imperfection. Int J Mech Sci 186: 105904 (2020)
DOI Google Scholar
[51]
Zhang X, Wang Q T, He T. Transient and steady-state viscoelastic contact responses of layer-substrate systems with interfacial imperfections. J Mech Phys Solids 145: 104170 (2020)
DOI Google Scholar
[52]
Wang X M, Shen Y P. The conservation laws and path-independent integrals with an application for linear electro-magneto-elastic media. Int J Solids Struct 33: 865–878 (1996)
DOI Google Scholar
[53]
Pan E. Exact solution for simply supported and multilayered magneto-electro-elastic plates. J Appl Mech 68: 608–618 (2001)
DOI Google Scholar
[54]
Benveniste Y, Chen T. On the Saint-Venant torsion of composite bars with imperfect interfaces. Proc R Soc A 457: 231–255 (2001)
DOI Google Scholar
[55]
Wang Q J, Sun L, Zhang X, Liu S, Zhu D. FFT-based methods for computational contact mechanics. Front in Mech Eng 6: 00061 (2020)
DOI Google Scholar
[56]
Liu S, Wang Q. Studying contact stress fields caused by surface tractions with a discrete convolution and fast fourier transform algorithm. J Tribol Trans ASME 124: 36–45 (2002)
DOI Google Scholar
[57]
Liu S, Wang Q, Liu G. A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses. Wear 243: 101–111 (2000)
DOI Google Scholar
[58]
Wang Q J, Zhu D. Interfacial Mechanics: Theories and Methods for Contact and Lubrication. Boca Raton, London, New York: CRC Press, 2019.
DOI
[59]
Polonsky I A, Keer L M. A numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniques. Wear 231: 206–219 (1999)
DOI Google Scholar
[60]
Hu Y, Barber G C, Zhu D. Numerical analysis for the elastic contact of real rough surfaces. Tribol Trans 42: 443–452 (1999)
DOI Google Scholar
[61]
Huang J H, Kuo W S. The analysis of piezoelectric/ piezomagnetic composite materials containing ellipsoidal inclusions. J Appl Phys 81: 1378–1386 (1997)
DOI Google Scholar
[62]
Suresh S. Graded materials for resistance to contact deformation and damage. Science 292: 2447–2451 (2001)
DOI Google Scholar
Publication history
Copyright
Acknowledgements
Rights and permissions

Publication history

Received: 21 December 2022
Revised: 06 February 2023
Accepted: 02 April 2023
Published: 16 October 2023
Issue date: April 2024

Copyright

© The author(s) 2023.

Acknowledgements

This work was supported by National Key R&D Program of China (2021YFB3400200) and the National Natural Science Foundation of China (U2141243).

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.

The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Return