2MSME - Laboratoire de Modélisation et Simulation Multi Echelle (Université Paris-Est, 5 Bd Descartes, 77454 Marne-la-Vallée, Cedex 2
Université Paris-Est Créteil Val de Marne(UPEC) Faculté des Sciences et Technologie - Equipe de Biomécanique
61 avenue du général de Gaulle 94010 Créteil Cedex - France)
Abstract : New integral representations of homogeneous 3D uncoupled dynamic thermoelasticity for semi-infinite cylindrical domains with curvilinear surfaces placed at infinity and subject to mixed boundary conditions on the plane boundaries are obtained. The representations are given in the form of integral convolutions involving a Green's function for the parabolic heat conduction equation, as well as Green's function for the isothermal elastodynamics. A multi-integral representation of solution to a particular initial-boundary value problem for an infinite wedge is included.
https://hal-upec-upem.archives-ouvertes.fr/hal-00691019
Contributor : Guy Bonnet
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Submitted on : Tuesday, January 19, 2016 - 10:55:40 AM
Last modification on : Friday, October 4, 2019 - 1:37:09 AM
Long-term archiving on: Wednesday, April 20, 2016 - 10:20:47 AM
Victor Sheremet, Guy Bonnet, T. Speianu. New integral representations in the dynamic uncoupled thermoelasticity. Journal of Thermal Stresses, Taylor & Francis, 2009, 32 (10), pp.1043-1064. ⟨10.1080/01495730903103119⟩. ⟨hal-00691019⟩
