Feeble interfaces in bimaterials

Kattis, MA; Mavroyannis, G

dc.contributor.author	Kattis, MA	en
dc.contributor.author	Mavroyannis, G	en
dc.date.accessioned	2014-03-01T01:24:24Z
dc.date.available	2014-03-01T01:24:24Z
dc.date.issued	2006	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17247
dc.subject	Constitutive Law	en
dc.subject	Correspondence Problem	en
dc.subject	Dislocations	en
dc.subject	Heat Conduction	en
dc.subject	Heat Flow	en
dc.subject	Potential Function	en
dc.subject	Stress Field	en
dc.subject	Shear Stress	en
dc.subject.classification	Mechanics	en
dc.subject.other	Functions	en
dc.subject.other	Mathematical models	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Problem solving	en
dc.subject.other	Shear stress	en
dc.subject.other	Two phase flow	en
dc.subject.other	Bimaterials	en
dc.subject.other	Constitutive relationships	en
dc.subject.other	Dislocation problems	en
dc.subject.other	Temperature control	en
dc.title	Feeble interfaces in bimaterials	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00707-006-0317-8	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00707-006-0317-8	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	In the present paper, the thermal and thermo-elastic response of a bi-material to temperature changes is analyzed, when its interface exhibits a simultaneous weakness in traction transferring and heat flow conducting (feeble interface). Such a pathological behavior of an interface is described by two sets of constitutive relationships relating the heat flow passing through the interface to the temperature jump and the interfacial components of the traction to those of the displacement jump. The bimaterial model considered is that of a circular inhomogeneity in an elastic matrix with linear forms of the constitutive relationships. When the solutions of both heat conduction and thermoelastic problems with a perfect interface are known, the corresponding problems with a feeble interface are reduced to the solution of two dislocation problems: a heat conduction problem with an appropriate temperature dislocation applied across the interface, and an elasticity problem with an appropriate displacement dislocation of Somigliana type acting across the interface. For both dislocation problems, general representations of their solutions in terms of two-phase potential functions of complex variables are provided. Detailed analytical results are given for a circular inhomogeneity with a feeble interface disturbing a linear distribution of the temperature change in the matrix. In this case, the stress field within the inhomogeneity has a linear distribution and it vanishes for the limiting case of a sliding interface. For a specific value of the interface parameter H, which characterizes the thermal imperfection, there are no shear stresses within the inhomogeneity. Finally, since the constitutive laws describing the thermal and mechanical interface behavior correlate tensors of different order, the resulting fields in the system are drastically affected by the inhomogeneity size.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/s00707-006-0317-8	en
dc.identifier.isi	ISI:000239041200002	en
dc.identifier.volume	185	en
dc.identifier.issue	1-2	en
dc.identifier.spage	11	en
dc.identifier.epage	29	en