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2 Archives of Mechanics

2 2018

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Surface Green’s functions in finite plane elastostatics of harmonic materials

Wang X., Schiavone P.

Archives of Mechanics

2018

Vol. 70, nr 2

151--159

The closed-form representations of surface Green’s functions corresponding to the action of a concentrated force applied at the boundary of a region occupied by a particular class of compressible hyperelastic materials of harmonic type, has been derived. In our analysis, we consider both a bounded region in the form of a circular disk and an unbounded region with either an elliptical hole or a parabolic boundary.

A circular inclusion with inhomogeneous sliding imperfect interface in harmonic materials

McArthur D. R., Sudak L. J.

Archives of Mechanics

2018

Vol. 70, nr 4

365--386

In the following study we rigorously analyze the problem of a circular inclusion with inhomogeneous imperfect sliding interface in finite deformation of harmonic materials. The work begins by defining the inhomogeneous sliding boundary conditions characterized by two interface parameters corresponding to the normal and tangential coordinate directions (with respect to the interface boundary curve), respectively. Then, through the process of analytic continuation the problem is eventually reduced to the determination of a single analytic function given by an ordinary differential equation with variable coefficients. A specific example is selected to illustrate the method. The effects of the circumferential variation of the interface parameter on the mean stress at the interface and the average mean stress in the inclusion are discussed.