Inplane deformation of a circular inhomogeneity with imperfect interface |
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Authors: | M. A. Kattis E. Providas |
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Affiliation: | aDepartment of Civil Engineering University of Thessaly, Pedion Areos, Volos GR-383 34, Greece;bDepartment of Mechanical and Industrial Engineering University of Thessaly, Pedion Areos, Volos GR-383 34, Greece |
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Abstract: | The plane elastic problem of a circular inhomogeneity with an imperfect interface of spring-constant-type is reduced to the solution of a Somigliana dislocation problem, when the solution for the corresponding problem with a perfect interface is known. The Burger's vector of the Somigliana dislocation is determined so that its components satisfy two interfacial conditions involving the traction components of the corresponding problem with a perfect interface. Employing complex variables, a two-phase potential solution to the Somigliana dislocation inhomogeneity problem is developed for a general form of the Burger's vector. Detailed results are reported for a uniform eigenstrain in the inhomogeneity, and for a remote uniform heat flow in the matrix. In the latter case, the inhomogeneity behaves as a void, when it begins to slide. |
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Keywords: | Inplane deformation Circular inhomogeneity Spring-constant-type Somigliana dislocation Burger's vector |
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