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  THE r-½ ( ln r) SINGULARITY AT INTERFACE CRACKS IN ANISOTROPIC BIMATERIALS DUE TO HEAT FLOW
 
 
Titel: THE r-½ ( ln r) SINGULARITY AT INTERFACE CRACKS IN ANISOTROPIC BIMATERIALS DUE TO HEAT FLOW
Auteur: Ting, T. C. T.
Yan, Gongpu
Verschenen in: Journal of thermal stresses
Paginering: Jaargang 15 (1992) nr. 1 pagina's 85-99
Jaar: 1992-01-01
Inhoud: The Stroh formalism for two-dimensional deformations of anisotropic elastic solids has been extended to include the effects of heat conduction. The formalism is employed here to study stress singularities in anisotropic elastic bimaterials with the presence of interface cracks. It is known that, without the effects of heat conduction, there are three singularities of the form r-½ r-½+γ where r is the radial distance from the crack tip and γ is a positive constant that depends on the mismatch of elasticity constants of the two materials. With the inclusion of heat effects, there is a rδk singularity in which —1 < δk < 0 depends on the heat conduction coefficients kij. The special case δk = —½, which occurs in particular when kij in the two materials are identical or when the Onsager reciprocal relations are invoked so that kij = kij, is studied here. We show that the rδk singularity may convert into a r-½(ln r) singularity. The conditions for the existence of r-½(ln r)singularity are presented explicitly.
Uitgever: Taylor & Francis
Bronbestand: Elektronische Wetenschappelijke Tijdschriften
 
 

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