Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
63 0 |
SM ISO690:2012 ŞEREMET, Victor, BONNET, Guy. New closed-form thermoelastostatic Green function and Poisson-type integral formula for a quarter-plane. In: Mathematical and Computer Modelling, 2011, vol. 53, pp. 347-358. ISSN 0895-7177. DOI: https://doi.org/10.1016/j.mcm.2010.09.001 |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Mathematical and Computer Modelling | ||||||
Volumul 53 / 2011 / ISSN 0895-7177 | ||||||
|
||||||
DOI:https://doi.org/10.1016/j.mcm.2010.09.001 | ||||||
Pag. 347-358 | ||||||
|
||||||
Descarcă PDF | ||||||
Rezumat | ||||||
A new Green's function and a new Poisson-type integral formula for a boundary value problem (BVP) in thermoelastostatics for a quarter-plane subject by mixed homogeneous mechanical boundary conditions are derived in this paper. The thermoelastic displacements are generated by a heat source, applied in the inner points of the quarter-plane and by temperature, prescribed on its boundary semi-straight-lines. All results, obtained in terms of elementary functions, are formulated in a special theorem. The first difficulty to obtain these results is in deriving the functions of influence of a unit concentrated force onto elastic volume dilatation Θ(k). The second difficulty is in calculating a volume integral of the product of function Θ(k) and Green's function G in heat conduction. A closed-form solution for a particular BVP of thermoelastostatics for a quarter-plane also is included. Using the proposed approach, it is possible to extend the obtained results not only for any canonical Cartesian domain, but also for any canonical orthogonal one. |
||||||
Cuvinte-cheie elasticity, Green's functions, Heat conduction, Poisson-type integral formula, thermoelastic influence functions, Thermoelastostatics, volume dilatation |
||||||
|
Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Şeremet, V.D.</dc:creator> <dc:creator>Bonnet, G.</dc:creator> <dc:date>2011-01-01</dc:date> <dc:description xml:lang='en'><p>A new Green's function and a new Poisson-type integral formula for a boundary value problem (BVP) in thermoelastostatics for a quarter-plane subject by mixed homogeneous mechanical boundary conditions are derived in this paper. The thermoelastic displacements are generated by a heat source, applied in the inner points of the quarter-plane and by temperature, prescribed on its boundary semi-straight-lines. All results, obtained in terms of elementary functions, are formulated in a special theorem. The first difficulty to obtain these results is in deriving the functions of influence of a unit concentrated force onto elastic volume dilatation Θ(k). The second difficulty is in calculating a volume integral of the product of function Θ(k) and Green's function G in heat conduction. A closed-form solution for a particular BVP of thermoelastostatics for a quarter-plane also is included. Using the proposed approach, it is possible to extend the obtained results not only for any canonical Cartesian domain, but also for any canonical orthogonal one. </p></dc:description> <dc:identifier>10.1016/j.mcm.2010.09.001</dc:identifier> <dc:source>Mathematical and Computer Modelling () 347-358</dc:source> <dc:subject>elasticity</dc:subject> <dc:subject>Green's functions</dc:subject> <dc:subject>Heat conduction</dc:subject> <dc:subject>Poisson-type integral formula</dc:subject> <dc:subject>thermoelastic influence functions</dc:subject> <dc:subject>Thermoelastostatics</dc:subject> <dc:subject>volume dilatation</dc:subject> <dc:title>New closed-form thermoelastostatic Green function and Poisson-type integral formula for a quarter-plane</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>