New integral representations in the dynamic uncoupled thermoelasticity
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ŞEREMET, Victor, BONNET, Guy, SPEIANU, Tatiana. New integral representations in the dynamic uncoupled thermoelasticity. In: Journal of Thermal Stresses, 2009, vol. 32, pp. 1043-1064. ISSN 0149-5739. DOI: https://doi.org/10.1080/01495730903103119
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Journal of Thermal Stresses
Volumul 32 / 2009 / ISSN 0149-5739 /ISSNe 1521-074X

New integral representations in the dynamic uncoupled thermoelasticity

DOI:https://doi.org/10.1080/01495730903103119

Pag. 1043-1064

Şeremet Victor1, Bonnet Guy2, Speianu Tatiana1
 
1 State Agrarian University of Moldova ,
2 University of Paris-Est
 
 
Disponibil în IBN: 26 februarie 2024


Rezumat

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.

Cuvinte-cheie
Canonical cylindrical domains, Green's integral formula, Heat flux, heat source, Influence functions, temperature, Theorem on dilatation, Wedges