Reflection and transmission between thermoelastic and initially stressed fiber-reinforced thermoelastic half-spaces under dual-phase-lag model

Kalkal, Kapil Kumar; Sheokand, Suresh Kumar; Deswal, Sunita

doi:10.1007/s00707-018-2302-4

Cited by 13 publications

(2 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The specific conditions in Equation (12) and the basic Equations ( 14) and (17) predict that the double-transformation Laplace and Hankel integral transforms [37] are more appropriate to be applied for t and r, respectively, in which the transformation is given as…”

Section: Problem Solutionmentioning

confidence: 99%

“…The DPL model or the generalized theory with dual-phase-lag is one of the essential generalizations developed by Tzou [10,11], where the energy equation was modified to contain two distinct phase-lags: one symbolizes the temperature gradient, while the other symbolizes the heat flux. Several authors have employed the DPL model to study thermoelastic waves under the effect of different fields [12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Heating a 2D Thermoelastic Half-Space Induced by Volumetric Absorption of a Laser Radiation

Tayel

2020

Mathematics

View full text Add to dashboard Cite

In this work, the generalized theory with dual-phase-lag of thermoelasticity is employed to study the influences induced by absorbing a penetrating laser radiation inside a 2D thermoelastic semi-infinite medium. The medium’s surface is presumed to be exposed to temperature-dependent heat losses and is traction-free. The considered problem is solved using the integral transforms technique by applying the double-transformation Laplace and Hankel. A numerical fashion is applied to obtain the inverse of the Laplace transformation. The results of this problem are presented graphically for some studied fields.

show abstract

Section: Problem Solutionmentioning

confidence: 99%