Free and Forced Magneto-Thermo-Elastic Vibrations in a Conducting Plate Layer

Wauer, Jörg

doi:10.1080/01495739608946201

Cited by 13 publications

(5 citation statements)

References 15 publications

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“…In the field of magneto-elasticity or magneto-thermo-elasticity, many studies have been conducted on an analytical treatment of an interaction between elastic, electromagnetic, and temperature fields (e.g., Kaliski and Nowacki, 1962;Kaliski and Michalec, 1963;Paria, 1967;Eringen and Maugin, 1990;Wauer, 1996Wang et al, 2002Wang and Dai, 2004;Ezzat and Youssef, 2005;Wang and Dong, 2006). However, few studies have been carried out on analytical development of thermal stresses induced by time-dependent magnetic field (Moon and Chattopadhyay, 1974;Chian and Moon, 1981).…”

Section: Introductionmentioning

confidence: 98%

Magneto-thermo-elastic stresses induced by a transient magnetic field in a conducting solid circular cylinder

Higuchi

Kawamura

Tanigawa

2007

International Journal of Solids and Structures

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In the present paper, dynamic and quasi-static behaviors of magneto-thermo-elastic stresses induced by a transient magnetic field in a conducting solid circular cylinder are investigated. It is assumed that a transient magnetic field which is defined by an arbitrary function of time acts on the surface of the solid cylinder in the direction parallel to its surface. Fundamental equations of plane axisymmetrical electromagnetic, temperature, and elastic fields are formulated. Then, solutions of magnetic field, eddy current, temperature change and both dynamic solutions and quasi-static ones of stresses and deformations are analytically derived in the forms including the arbitrary function. The solutions of stresses are determined to be sums of thermal stress caused by eddy current loss and magnetic stress caused by Lorentz force. For this case that the arbitrary function is given by the smoothed ramp function with sine function, the dynamic and quasi-static behaviors of the stresses are examined by numerical calculations.

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Section: Introductionmentioning

confidence: 98%

Magneto-thermo-elastic stresses induced by a transient magnetic field in a conducting solid circular cylinder

Higuchi

Kawamura

Tanigawa

2007

International Journal of Solids and Structures

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“…In the field of magneto-elasticity or magneto-thermoelasticity [1,2], many studies have been conducted on an analytical treatment of an interaction between elastic, electromagnetic and temperature fields [3][4][5][6][7][8][9][10][11][12][13][14][15]. However, few studies have been carried out on analytical development of thermal stresses induced by a time-varying magnetic field [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Dynamic and quasi-static behaviors of magneto-thermo-elastic stresses in a conducting hollow circular cylinder subjected to an arbitrary variation of magnetic field

Higuchi

Kawamura

Tanigawa

2008

International Journal of Mechanical Sciences

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“…For this reason, the proposed model is defined as full coupled. The main features about full coupled thermo-mechanical analyses were discussed in [5][6][7][8][9][10][11] using the appropriate developing of divergence and gradient relations, constitutive equations, variational statements for the case of linear coupled thermoelastic problem, boundary conditions, proportional relations between the gradient of the thermal unknown and the heat flux, field equations, balance relations for energy and the starting circumstances.…”

mentioning

confidence: 99%

Three Dimensional Coupling between Elastic and Thermal Fields in the Static Analysis of Multilayered Composite Shells

Brischetto¹,

Torre²,

Cesare³

2023

Computer Modeling in Engineering &Amp; Sciences

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This new work aims to develop a full coupled thermomechanical method including both the temperature profile and displacements as primary unknowns of the model. This generic full coupled 3D exact shell model permits the thermal stress investigation of laminated isotropic, composite and sandwich structures. Cylindrical and spherical panels, cylinders and plates are analyzed in orthogonal mixed curved reference coordinates. The 3D equilibrium relations and the 3D Fourier heat conduction equation for spherical shells are coupled and they trivially can be simplified in those for plates and cylindrical panels. The exponential matrix methodology is used to find the solutions of a full coupled model based on coupled differential relations with respect to the thickness coordinate. The analytical solution is based on theories of simply supported edges and harmonic relations for displacement components and sovra-temperature. The sovra-temperature magnitudes are directly applied at the outer faces through static state hypotheses. As a consequence, the sovra-temperature description is assumed to be an unknown variable of the model and it is calculated in the same way as the three displacements. The final system is based on a set of coupled homogeneous differential relations of second order in the thickness coordinate. This system is reduced in a first order differential relation system by redoubling the number of unknowns. Therefore, the exponential matrix methodology is applied to calculate the solution. The temperature field effects are evaluated in the static investigation of shells and plates in terms of displacement and stress components. After an appropriate preliminary validation, new benchmarks are discussed for several thickness ratios, geometrical data, lamination sequences, materials and sovra-temperature values imposed at the outer faces. Results make evident the accordance between the uncoupled thermo-mechanical model and this new full coupled thermo-mechanical model without the need to separately solve the Fourier heat conduction relation. Both effects connected with the thickness layer and the related embedded materials are included in the conducted thermal stress analysis. KEYWORDSThree-dimensional exact thermo-elastic shell model; full coupled thermoelasticity; three-dimensional fourier heat conduction relation; plate and shell geometries; laminated and sandwich configurations IntroductionThe monitoring of temperature gradients in the aerospace structures is one of the main topics in the stress analysis. The study of temperature contribution on strains and stresses is very important

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Free and Forced Magneto-Thermo-Elastic Vibrations in a Conducting Plate Layer

Cited by 13 publications

References 15 publications

Magneto-thermo-elastic stresses induced by a transient magnetic field in a conducting solid circular cylinder

Magneto-thermo-elastic stresses induced by a transient magnetic field in a conducting solid circular cylinder

Dynamic and quasi-static behaviors of magneto-thermo-elastic stresses in a conducting hollow circular cylinder subjected to an arbitrary variation of magnetic field

Three Dimensional Coupling between Elastic and Thermal Fields in the Static Analysis of Multilayered Composite Shells

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