On the Thermal Stress Induced in a Semi-Infinite Body as a Result of a Suddenly Applied Step Heat Input

Grimado, Philip B.

doi:10.1115/1.3408676

Cited by 4 publications

(3 citation statements)

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“…In all cases, limits are given for opaque materials (boo) and thermally insulating materials (,-to). These results include as special cases solutions quoted by Penner and Sharma (1966), Morland (1968) and Grimado (1970).…”

Section: Discussionmentioning

confidence: 82%

“…Step a*= -exp (-@) sinh(px) approaches zero and 8 approaches infinity, and is therefore the same as that of Grimado (1970). It can be seen from ( c ) and ( d ) that the effect of a nonzero rise time is to round off the top of the stress waveform without otherwise distorting it.…”

Section: Impulsementioning

confidence: 89%

“…The generation of thermoelastic stress waves in a semi-infinite body by the absorption of a heat flux is of interest in the processing of materials by means of pulsed lasers. Theoretical expressions for the stress in an opaque material, under conditions where a uniaxial solution is appropriate, have been derived by Morland (1968) for impulsive heating, and by Grimado (1970) for the absorption of a steady flux. Bushnell and McCloskey (1968) have given theoretical and experimental results for a composite material with negligible thermal conductivity.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stress-wave distribution in a semi-infinite body due to an arbitrary heat flux at the surface

Skinner¹,

Wendlandt²,

Macdonald³

1974

J. Phys. D: Appl. Phys.

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A general solution is given to the uncoupled one-dimensional equations for the stress wave in a semi-infinite body due to an absorbed heat flux that is spatially uniform but varies in an arbitrary manner with time. The solution is in the form of a convolution integral that is applicable when both the thermal conductivity and the exponential absorption depth of the material are nonzero. Analytical results in terms of real and complex error functions are given for the cases where the flux is steady or varies in an impulsive, linear or exponential manner with time.

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Section: Discussionmentioning

confidence: 82%

Section: Impulsementioning

confidence: 89%