Approximate solutions for the evaluation of the depth of laser-melted zones

Vonatsos, KN; Pantelis, DI

dc.contributor.author	Vonatsos, KN	en
dc.contributor.author	Pantelis, DI	en
dc.date.accessioned	2014-03-01T01:21:52Z
dc.date.available	2014-03-01T01:21:52Z
dc.date.issued	2005	en
dc.identifier.issn	0947-8396	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16400
dc.subject	Analytic Solution	en
dc.subject	Approximate Solution	en
dc.subject	Closed Form Solution	en
dc.subject	Differential Equation	en
dc.subject	Experimental Data	en
dc.subject	Initial Condition	en
dc.subject	Phase Change	en
dc.subject	Surface Treatment	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Physics, Applied	en
dc.subject.other	Alumina	en
dc.subject.other	Approximation theory	en
dc.subject.other	Carbon dioxide lasers	en
dc.subject.other	Fourier transforms	en
dc.subject.other	Functions	en
dc.subject.other	Heat transfer	en
dc.subject.other	Integral equations	en
dc.subject.other	Optical microscopy	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Pressure effects	en
dc.subject.other	Specific heat	en
dc.subject.other	Steel	en
dc.subject.other	Surface treatment	en
dc.subject.other	Thermal diffusion	en
dc.subject.other	Laser surface treatment	en
dc.subject.other	Laser-melted zones	en
dc.subject.other	Stefan-Boltzmann constant	en
dc.subject.other	Thermal model	en
dc.subject.other	Laser applications	en
dc.title	Approximate solutions for the evaluation of the depth of laser-melted zones	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00339-003-2339-6	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00339-003-2339-6	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	In many practical applications there is a need for a fast and easy estimation of the depth of the laser-melted zone during laser-surface treatment. Closed-form solutions using the Fourier differential equation are quite difficult for problems with phase change and can be impossible for particular boundary and initial conditions. In this paper, we formulate the conservation of energy equation in an integral form and by prescribing the function for the thermal field we are able to derive a simple analytical solution for the evaluation of the depth of the laser-melted zone. The calculated values obtained by the model are in good agreement with the experimental data.	en
heal.publisher	SPRINGER	en
heal.journalName	Applied Physics A: Materials Science and Processing	en
dc.identifier.doi	10.1007/s00339-003-2339-6	en
dc.identifier.isi	ISI:000226460900040	en
dc.identifier.volume	80	en
dc.identifier.issue	4	en
dc.identifier.spage	885	en
dc.identifier.epage	889	en