Dynamic Response of a Rod Due to a Moving Heat Source Under the Hyperbolic Heat Conduction Model

Al-Huniti, Naser S.; Al‐Nimr, M. A.; Naji, Malak

doi:10.1006/jsvi.2000.3383

Cited by 101 publications

(53 citation statements)

References 11 publications

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“…We consider that the medium is subjected to a moving heat source of constant strength releasing its energy continuously while moving along the x-axis in the positive direction with a constant velocity v. This moving heat source is assumed to be of the nondimensional form [Al-Huniti et al 2001]…”

Section: P J Chen and Collaboratorsmentioning

confidence: 99%

A two-temperature generalized thermoelastic medium subjected to a moving heat source and ramp-type heating: A state-space approach

Youssef¹

2010

JOMMS

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We construct a model of two-temperature generalized thermoelasticity for an elastic half-space with constant elastic parameters. The Laplace transform and state-space techniques are used to obtain the general solution for any set of boundary conditions. The general solution obtained is applied to the specific problem of a half-space subjected to a moving heat source with constant velocity and ramp-type heating. The inverse Laplace transforms are computed numerically. The effects of different values of the heat source velocity, the two-temperature parameter, and the ramping time parameter are compared.A list of symbols can be found on page 1648.

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Section: P J Chen and Collaboratorsmentioning

confidence: 99%

A two-temperature generalized thermoelastic medium subjected to a moving heat source and ramp-type heating: A state-space approach

Youssef¹

2010

JOMMS

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“…They have also studied the effects of damping and axial loads on the structural response. Al-Huniti et al [5] investigated the thermally induced displacements and stresses of a rod using the Laplace transformation technique. Ai Kah Soh et al studied the vibration of micro/nanoscale beam resonators induced by ultra-short-pulsed laser by considering the thermoelastic coupling term in [6] and [7].…”

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confidence: 99%

State-space approach to vibration of gold nano-beam induced by ramp type heating

Youssef

Elsibai

2010

Nano-Micro Lett

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In the nanoscale beam, two effects become domineering. One is the non-Fourier effect in heat conduction and the other is the coupling effect between temperature and strain rate. In the present study, a generalized solution for the generalized thermoelastic vibration of gold nano-beam resonator induced by ramp type heating is developed. The solution takes into account the above two effects. State-space and Laplace transform methods are used to determine the lateral vibration, the temperature, the displacement, the stress and the strain energy of the beam. The effects of the relaxation time and the ramping time parameters have been studied. When very fast phenomena and small structure dimensions are involved, the classical law of Fourier becomes inaccurate.

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“…In [Youssef 2008] solved the two-dimensional problem of a two-temperature generalized thermoelastic half-space subjected to ramp-type heating. Al-Huniti et al [2001] discussed the dynamic response of a rod due to a moving heat source under the hyperbolic heat conduction model.…”

Section: Resultsmentioning

confidence: 99%

Untitled

2009

J. Mech. Solids Struct.

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Dynamic Response of a Rod Due to a Moving Heat Source Under the Hyperbolic Heat Conduction Model

Cited by 101 publications

References 11 publications

A two-temperature generalized thermoelastic medium subjected to a moving heat source and ramp-type heating: A state-space approach

A two-temperature generalized thermoelastic medium subjected to a moving heat source and ramp-type heating: A state-space approach

State-space approach to vibration of gold nano-beam induced by ramp type heating

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