New Poisson's Type Integral Formula for Thermoelastic Half-Space
Joint Authors
Seremet, Victor
Speianu, Tatiana
Bonnet, Guy
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-07
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
A new Green's function and a new Poisson's type integral formula for a boundary value problem (BVP) in thermoelasticity for a half-space with mixed boundary conditions are derived.
The thermoelastic displacements are generated by a heat source, applied in the inner points of the half-space and by temperature, and prescribed on its boundary.
All results are obtained in closed forms that are formulated in a special theorem.
A closed form solution for a particular BVP of thermoelasticity for a half-space also is included.
The main difficulties to obtain these results are in deriving of functions of influence of a unit concentrated force onto elastic volume dilatation Θ(k) and, also, in calculating of a volume integral of the product of function Θ(k) and Green's function in heat conduction.
Using the proposed approach, it is possible to extend the obtained results not only for any canonical Cartesian domain, but also for any orthogonal one.
American Psychological Association (APA)
Seremet, Victor& Bonnet, Guy& Speianu, Tatiana. 2009. New Poisson's Type Integral Formula for Thermoelastic Half-Space. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-460278
Modern Language Association (MLA)
Seremet, Victor…[et al.]. New Poisson's Type Integral Formula for Thermoelastic Half-Space. Mathematical Problems in Engineering No. 2009 (2009), pp.1-18.
https://search.emarefa.net/detail/BIM-460278
American Medical Association (AMA)
Seremet, Victor& Bonnet, Guy& Speianu, Tatiana. New Poisson's Type Integral Formula for Thermoelastic Half-Space. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-460278
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460278