A general solution of 3-D quasi-steady-state problem of a moving heat source on a semi-infinite solid

Levin, Pavel

doi:10.1016/j.mechrescom.2007.09.003

Cited by 25 publications

(14 citation statements)

References 7 publications

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“…The system is in thermal stability [6] ，that is the temperature at any point in the steady state thermal analysis doesn't change with time. The energy balance equation is (in matrix form):…”

Section: Thermal Analysis Fundamentalsmentioning

confidence: 99%

Untitled

2018

ENGJOURNAL

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Section: Thermal Analysis Fundamentalsmentioning

confidence: 99%

Untitled

2018

ENGJOURNAL

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“…The propagation of stresses induced by laser and electron beam treatment have been studied poorly too [3,9,10].…”

Section: Introduction Basicmentioning

confidence: 99%

“…While the behavior of plates and isotropic shells under various thermal loads has been studied well enough [3,4,6,8], orthotropic and anisotropic shells have received much less attention because of the complexity of solutions [1,2,9,10]. The propagation of stresses induced by laser and electron beam treatment have been studied poorly too [3,9,10].…”

Section: Introduction Basicmentioning

confidence: 99%

“…An important area of technological thermomechanics is the study of thermal stresses in structural members in various processes such as welding, grinding, linear cutting, honing, facing, spinning. Moreover, special emphasis is placed on the treatment of materials with focused energy: light beams, electron and ion beams, plasma jets.While the behavior of plates and isotropic shells under various thermal loads has been studied well enough [3, 4, 6, 8], orthotropic and anisotropic shells have received much less attention because of the complexity of solutions [1,2,9,10]. The propagation of stresses induced by laser and electron beam treatment have been studied poorly too [3,9,10].…”

mentioning

confidence: 99%

“…,(9), we obtain the expressions of the transforms for the temperature field[3] and stress-strain state of the shell:…”

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confidence: 99%

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Deformation of Thermoelastic Orthotropic Shallow Shells under the Action of a Moving Lumped Impulsive Heat Source

Avramenko

Шевченко

2013

Int Appl Mech

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The thermoelastic state of a thin orthotropic shell of nonnegative Gaussian curvature heated by a lumped impulsive heat source moving over its surface is studied. Linear distribution of temperature over the shell thickness and Newton's law of cooling on the lateral surfaces are assumed. The analytical solution is obtained using the Fourier and Laplace transforms. The effect of the type of heating, the thermomechanical properties of the material, and the type and magnitude of heat exchange on the stress state of orthotropic shells is analyzed Keywords: thermoelasticity, orthotropic shell, integral transform, impulsive heat source Introduction. BasicEquations. An important area of technological thermomechanics is the study of thermal stresses in structural members in various processes such as welding, grinding, linear cutting, honing, facing, spinning. Moreover, special emphasis is placed on the treatment of materials with focused energy: light beams, electron and ion beams, plasma jets.While the behavior of plates and isotropic shells under various thermal loads has been studied well enough [3, 4, 6, 8], orthotropic and anisotropic shells have received much less attention because of the complexity of solutions [1,2,9,10]. The propagation of stresses induced by laser and electron beam treatment have been studied poorly too [3,9,10].The present paper is concerned with a thermoelastic problem for an orthotropic shallow shell of nonnegative Gaussian curvature heated by a lumped impulsive heat source moving over its surface in the following manner:

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