The contact problem of a circular rigid punch on piezomagnetic materials

Giannakopoulos, A.E.; Parmaklis, A.Z.

doi:10.1016/j.ijsolstr.2006.11.040

Cited by 44 publications

(11 citation statements)

References 12 publications

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“…Other discussions are also similar to those for q ij = d ij = 0. Note that Giannakopoulos and Parmaklis (2007) presented the solution for a flat-ended and cylindrical punch on a transversely isotropic piezomagnetic half-space by using the Hankel transform method; but explicit expressions were only derived for some physical variables at the surface of the half-space.…”

Section: E2 E Ij =D Ij =0mentioning

confidence: 99%

“…They recently considered the indentation of piezoelectric materials by flat and non-flat punches of arbitrary planform (Karapetian et al, 2009). Giannakopoulos and Parmaklis (2007) conducted a parallel study on piezomagnetic materials by employing the Hankel transform. They showed that the coupling between the elastic and magnetic fields would lead to a significant effect on the indentation force.…”

Section: Introductionmentioning

confidence: 99%

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Theory of indentation on multiferroic composite materials

Chen

Pan

Wang

et al. 2010

Journal of the Mechanics and Physics of Solids

142

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Section: E2 E Ij =D Ij =0mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theory of indentation on multiferroic composite materials

Chen

Pan

Wang

et al. 2010

Journal of the Mechanics and Physics of Solids

142

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“…With Eqs. (A28) to (A33), we can obtain the following relations for the wave numbers [20,73] [74,75]…”

Section: The Surface Phonon Polariton Dispersion Relationmentioning

confidence: 99%

Hybrid Quantum System with Nitrogen-Vacancy Centers in Diamond Coupled to Surface-Phonon Polaritons in Piezomagnetic Superlattices

Nori

2018

Phys. Rev. Applied

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We investigate a hybrid quantum system where an ensemble of nitrogen-vacancy (NV) centers in diamond is interfaced with a piezomagnetic superlattice that supports surface phonon polaritons (SPhPs). We show that the strong magnetic coupling between the collective spin waves in the NV spin ensemble and the quantized SPhPs can be realized, thanks to the subwavelength nature of the SPhPs and relatively long spin coherence times. The magnon-polariton coupling allows different modes of the SPhPs to be mapped and orthogonally stored in different spatial modes of excitation in the solid medium. Because of its easy implementation and high tunability, the proposed hybrid structure with NV spins and piezoactive superlattices could be used for quantum memory and quantum computation.

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“…See also further references in Rodríguez-Tembleque et al [17]. For transversely isotropic PM materials, the frictionless axisymmetric indentation by flat rigid punch has been studied by Giannakopoulos and Parmaklis [18]; and the 2D exact solution of the singular integral equation corresponding to the indentation by a sliding rigid punch with flat or cylindrical profile has been presented by Zhou and Lee [19].…”

Section: Introductionmentioning

confidence: 99%

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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The contact problem of a circular rigid punch on piezomagnetic materials

Cited by 44 publications

References 12 publications

Theory of indentation on multiferroic composite materials

Theory of indentation on multiferroic composite materials

Hybrid Quantum System with Nitrogen-Vacancy Centers in Diamond Coupled to Surface-Phonon Polaritons in Piezomagnetic Superlattices

3D coupled multifield magneto-electro-elastic contact modelling

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