Indentation of piezoelectromagneto-elastic half-space by a truncated conical punch

Rogowski, Bogdan; Kaliński, W.

doi:10.1016/j.ijengsci.2012.03.034

Cited by 23 publications

(5 citation statements)

References 28 publications

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“…), Φ and Ψ represent the elastic displacement, the electric potential and the magnetic potential [5,32,45 = holds true. It should be noted that in the present work, the Maxwell stress is not taken into account.…”

Section: The General Solutionmentioning

confidence: 99%

“…Based on Green's functions [29,31], Chen et al [5] analyzed contact problems for three common indenters (flat-ended, conical and spherical) on a transversely isotropic magneto-electro-elastic halfspace and obtained the corresponding analytical full-field solutions. Taking advantage of the Hankel transform and Abel integrals, the contact problem for the multi-ferroic half-space punched by the truncated conical indenter was investigated by Rogowwski and Kalinski [32], and the physical fields were analytically obtained in terms of elementary functions in the oblate spheroidal coordinate. Li et al [33,34] obtained 3D closed-form solutions for a semiinfinite punch and an elliptical flat-ended punch by virtue of the potential theory method [20,21].…”

Section: Introductionmentioning

confidence: 99%

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Indentation theory on a half-space of transversely isotropic multi-ferroic composite medium: sliding friction effect

2018

Smart Mater. Struct.

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This article aims to present a systematic indentation theory on a half-space of multi-ferroic composite medium with transverse isotropy. The effect of sliding friction between the indenter and substrate is taken into account. The cylindrical flat-ended indenter is assumed to be electrically/magnetically conducting or insulating, which leads to four sets of mixed boundary-value problems. The indentation forces in the normal and tangential directions are related to the Coulomb friction law. For each case, the integral equations governing the contact behavior are developed by means of the generalized method of potential theory, and the corresponding coupling field is obtained in terms of elementary functions. The effect of sliding on the contact behavior is investigated. Finite element method (FEM) in the context of magneto-electro-elasticity is developed to discuss the validity of the analytical solutions. The obtained analytical solutions may serve as benchmarks to various simplified analyses and numerical codes and as a guide for future experimental studies.

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Section: The General Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Indentation theory on a half-space of transversely isotropic multi-ferroic composite medium: sliding friction effect

2018

Smart Mater. Struct.

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“…Using equations (26) and (32), one can obtain the expressions of unknowns B i (s), = 1, 2, 3, 4) in terms of fxg as…”

Section: Boundary Conditions and Singular Integral Equationsmentioning

confidence: 99%

“…Substituting equation (33) into equation (26), then taking the inverse Fourier transform and extracting the displacement components, electric potential and magnetic potential at the surface z = 0 give…”

Section: Boundary Conditions and Singular Integral Equationsmentioning

confidence: 99%

“…Using Fourier transform, they reduced the problem to singular integral equations and solved them to obtain the theoretical results of contact stress, electric displacement and magnetic induction in terms of fundamental functions. Rogowski and Kalinski 26 investigated the indentation behavior for a MEEM half-space under a truncated conical punch and discussed the effect of material constants on the contact area and depth of penetration of the punch. Elloumi et al 27 analyzed the magneto-electric contact problem for a MEEM half-plane indented by a rigid conducting flat punch.…”

Section: Introductionmentioning

confidence: 99%

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Thermal contact of magneto-electro-elastic materials subjected to a conducting flat punch

Wang

et al. 2015

The Journal of Strain Analysis for Engineering Design

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This article is concerned with the thermal contact between a magneto-electro-elastic material half-plane and a rigid flat punch. The punch is assumed to be a perfect thermal insulator and electro-magnetic conductor. The sliding speed of the punch over the surface of the magneto-electro-elastic material half-plane is a small constant far slower than the shear wave speed of the magneto-electro-elastic material half-plane, which generates the heat flux with its value proportional to the contact pressure, friction coefficient and sliding speed. The contact problem is reduced to Cauchy-type singular integral equations of the first and the second kinds, which are then solved numerically to obtain the contact stress, electric displacement, magnetic induction and surface temperature. Numerical results show that the friction coefficient and sliding speed can affect the magnitude of the surface temperature and magneto-electro-elastic fields.

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The contact problem of a rigid stamp with friction on a functionally graded magneto-electro-elastic half-plane

et al. 2015

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Indentation of piezoelectromagneto-elastic half-space by a truncated conical punch

Cited by 23 publications

References 28 publications

Indentation theory on a half-space of transversely isotropic multi-ferroic composite medium: sliding friction effect

Indentation theory on a half-space of transversely isotropic multi-ferroic composite medium: sliding friction effect

Thermal contact of magneto-electro-elastic materials subjected to a conducting flat punch

The contact problem of a rigid stamp with friction on a functionally graded magneto-electro-elastic half-plane

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