Chen, Weiqiu; Shioya, Tadashi Fundamental solution for a penny-shaped crack in a piezoelectric medium. (English) Zbl 0959.74019 J. Mech. Phys. Solids 47, No. 7, 1459-1475 (1999). Summary: We present a general three-dimensional analysis of a penny-shaped crack subjected to normal mechanical loads and to free surface electric charges symmetrically applied on its upper and lower surfaces. To this end, we use the methods of potential theory and introduce a potential of simple layer, corresponding to the electric effect. As a typical example, we obtain a closed-form solution for a penny-shaped crack subjected to a pair of concentrated forces acting in opposite directions and to a pair of point charges on crack surfaces. We also derive exact expressions for stress and electric displacement intensity factors. Cited in 31 Documents MSC: 74F15 Electromagnetic effects in solid mechanics 74G70 Stress concentrations, singularities in solid mechanics 74G05 Explicit solutions of equilibrium problems in solid mechanics Keywords:stress intensity factor; piezoelectric medium; electric displacement intensity factor; three-dimensional analysis; penny-shaped crack; normal mechanical loads; free surface electric charges; potential of simple layer; closed-form solution PDFBibTeX XMLCite \textit{W. Chen} and \textit{T. Shioya}, J. Mech. Phys. Solids 47, No. 7, 1459--1475 (1999; Zbl 0959.74019) Full Text: DOI References: This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.