A point heat source on the surface of a semi-infinite transversely isotropic electro-magneto-thermo-elastic material

Hou, Peng; Leung, Andrew-Y. T.; Ding, Haojiang

doi:10.1016/j.ijengsci.2007.11.006

Cited by 23 publications

(5 citation statements)

References 20 publications

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“…To obtain the roots of the frequency equation, the secant method applicable for the complex roots (Antia, 2002) is used. The material properties of the magnetio-electro-elastic material is (Hou et al, 2008): In the numerical calculation, the angle u is taken as an independent variable and the coordinate R i at the i-th segment of the boundary is expressed in terms of u . Substituting R i and the angle g i , between the reference axis and the normal to the i-th boundary line, the integrations of the Fourier coefficients f i n , g i n , h i n , j i n , k i n ,f i n , g i n , h i n , j i n and k i n can be expressed in terms of the angle u .…”

Section: Resultsmentioning

confidence: 99%

“…Finite element analysis integrated with numerical computation is an effective tool in most studies on ultrasonic wave propagation (Jeong and Park, 2005;Moser et al, 1999). A point heat source was analyzed (Hou et al, 2008) on the surface of semi-infinite transversely isotropic electro-magnetothermo-elastic materials. A new analytical model of thermopiezoelectric was induced (Guo, 2011), and the governing equations for the generalized dynamical theories of thermopiezoelectricity were derived (Kuang, 2009).…”

Section: Introductionmentioning

confidence: 99%

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Dispersion analysis of magneto-electro elastic plate of arbitrary cross-sections immersed in fluid

Selvamani

2018

WJE

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Purpose This study aims to construct a mathematical model to study the dispersion analysis of magneto-electro elastic plate of arbitrary cross sections immersed in fluid by using the Fourier expansion collocation method (FECM). Design/methodology/approach The analytical formulation of the problem is designed and developed using three-dimensional linear elasticity theories. As the inner and outer boundaries of the arbitrary cross-sectional plate are irregular, the frequency equations are obtained from the arbitrary cross-sectional boundary conditions by using FECM. The roots of the frequency equation are obtained using the secant method, which is applicable for complex solutions. Findings The computed physical quantities such as radial stress, hoop strain, non-dimensional frequency, magnetic potential and electric potential are plotted in the form of dispersion curves, and their characteristics are discussed. To study the convergence, the non-dimensional wave numbers of longitudinal modes of arbitrary (elliptic and cardioid) cross-sectional plates are obtained using FECM and finite element method and are presented in a tabular form. This result can be applied for optimum design of composite plates with arbitrary cross sections. Originality/value This paper contributes the analytical model for the role of arbitrary cross-sectional boundary conditions and impact of fluid loading on the dispersion analysis of magneto-electro elastic plate. From the graphical patterns of the structure, the effects of stress, strain, magnetic, electric potential and the surrounding fluid on the various considered wave characteristics are more significant and dominant in the cardioid cross sections. Also, the aspect ratio (a/b) and the geometry parameters of elliptic and cardioids cross sections are significant to the industry or other fields that require more flexibility in design of materials with arbitrary cross sections.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dispersion analysis of magneto-electro elastic plate of arbitrary cross-sections immersed in fluid

Selvamani

2018

WJE

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“…This is due to the fact that the fundamental solution for the displacements is not limited at infinity, which is inconsistent with the mechanical sense. For example, Hou et al (2008) derived a solution with a logarithmic singularity in the generalized displacement fields. Thus, the consideration of static equilibrium of the thermoelastic half-space, a quarter of the space, an octant, a wedge, and a half-wedge under the action of a unit point (as well as distributed) of the internal heat source and boundary temperature or heat flux is a special and important task.…”

Section: Introductionmentioning

confidence: 99%

Green’s function for a multifield material with a heat source

Rogowski¹

2016

jtam

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Green's functions for a multifield material subjected to a point heat source are presented in an explicit analytical form. The study concerns the steady-state thermal loading infinite region, 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. The elastic displacement, electric potential, magnetic potential and induced by those coupled multifield physical quantities, caused by internal or external heat sources, are limited and presented in a very useful form, exactly and explicitly.

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“…Recently, studies have been focus on Green's functions problems. For instance, analysis have been performed on 2D Green's functions in piezoelectric medium in [8], on 3D Green's functions in magnetoelectroelastic media in [9], on Green's functions for two-phase piezoelectricity and magneto-electro-elastic media in [10]. However, all works mentioned above are restricted to a piezoelectric material without a hole or an inclusion.…”

Section: Introductionmentioning

confidence: 99%

Green’s Function for Piezoelectric in Multi-Field Circumstance with a Generalized Line Force on an Elliptical Hole Surface

Dai

Gong

2013

AMR

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The analysis on a two-dimensional infinite anisotropic magnetoelectroelastic solid containing an elliptic hole subjected to a generalized force on the hole surface is performed in this paper. By employing the Stroh formalism, the method of analytical continuation, the technique of conformal mapping, the concept of superposition and the exact electromagnetic boundary conditions, the Green’s functions are obtained.

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A point heat source on the surface of a semi-infinite transversely isotropic electro-magneto-thermo-elastic material

Cited by 23 publications

References 20 publications

Dispersion analysis of magneto-electro elastic plate of arbitrary cross-sections immersed in fluid

Dispersion analysis of magneto-electro elastic plate of arbitrary cross-sections immersed in fluid

Green’s function for a multifield material with a heat source

Green’s Function for Piezoelectric in Multi-Field Circumstance with a Generalized Line Force on an Elliptical Hole Surface

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