Bueckner, Hans F. Weight functions and fundamental fields for the penny-shaped and the half-plane crack in the three-space. (English) Zbl 0601.73102 Int. J. Solids Struct. 23, 57-93 (1987). Weight functions permit to represent stress intensity factors as weighted averages of the externally impressed boundary tractions and body forces. In this paper the relevant weight functions of all three modes are represented in closed form with the aid of elementary transcendentals. Their derivation as displacements of fundamental fields is simple and without recourse to integral transforms of any kind. Cited in 5 ReviewsCited in 23 Documents MSC: 74R05 Brittle damage 74G70 Stress concentrations, singularities in solid mechanics Keywords:singularity condensation; shearing modes; regular fields; harmonic potentials of fundamental fields; penny shaped crack; Weight functions; stress intensity factors; weighted averages; externally impressed boundary tractions and body forces; elementary transcendentals PDFBibTeX XMLCite \textit{H. F. Bueckner}, Int. J. Solids Struct. 23, 57--93 (1987; Zbl 0601.73102) Full Text: DOI