Geodesic
To the question of laser hardening zone depth forecast
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 117 (2008) no. 2, pp. 271-274 Cet article a éte moissonné depuis la source Math-Net.Ru

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The simple expression for a prognostication of a pulse laser hardening zone depth was obtained in the one-dimension linear approximation for the even distribution of laser radiation power density on a focal spot and for the right-angled temporal form of a laser pulse.
Keywords: pulse laser hardening, calculation of hardened zone depth. 
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     title = {To the question of laser hardening zone depth forecast},
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G. D. Gureev; D. M. Gureev. To the question of laser hardening zone depth forecast. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 117 (2008) no. 2, pp. 271-274. http://geodesic.mathdoc.fr/item/VSGTU_2008_117_2_a32/

[1] Gureev D. M., Yamschikov S. V., Osnovy fiziki lazerov i lazernoi obrabotki materialov, SamGU, Samara, 2001, 393 pp.