One of their most recent publications is On reflected interactions in elastic solids containing inhomogeneities. Which was published in journal Journal of the Mechanics and Physics of Solids.

More information about Gregory J. Rodin research including statistics on their citations can be found on their Copernicus Academic profile page.

Gregory J. Rodin's Articles: (2)

On reflected interactions in elastic solids containing inhomogeneities

AbstractInteractions in linear elastic solids containing inhomogeneities are examined using integral equations. Direct and reflected interactions are identified. Direct interactions occur simply because elastic fields emitted by inhomogeneities affect each other. Reflected interactions occur because elastic fields emitted by inhomogeneities are reflected by the specimen boundary back to the individual inhomogeneities. It is shown that the reflected interactions are of critical importance to analysis of representative volume elements. Further, the reflected interactions are expressed in simple terms, so that one can obtain explicit approximate expressions for the effective stiffness tensor for linear elastic solids containing ellipsoidal and non-ellipsoidal inhomogeneities. For ellipsoidal inhomogeneities, the new approximation is closely related to that of Mori and Tanaka. In general, the new approximation can be used to recover Ponte Castañeda–Willis׳ and Kanaun–Levin׳s approximations. Connections with Maxwell׳s approximation are established.

A self-consistent analysis of a creeping matrix with aligned cracks☆

AbstractA self-consistent estimate for a power-law creeping matrix with aligned penny-shaped cracks is presented. The analysis focuses on both finite element implementations and a closed-form linearized solution. The latter is shown to be an accurate result for a sensible range of arguments; therefore we present the answer in a simple form.

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