Hasebe, N.; Sugimoto, T.; Nakamura, T. Longitudinal shear problem for an elastic body with two fixed edges. (English) Zbl 0606.73014 J. Appl. Mech. 53, 814-818 (1986). A semi-infinite elastic body with an arbitrary shape and an infinite one with a hole under uniform longitudinal shear load are investigated. These bodies have a boundary with two fixed parts. The respective complex stress functions are obtained in closed form by using a conformal mapping function. Doubly connected elastic bodies with symmetry can also be treated. Examples of the stress distribution and expressions for the stress intensity factor are shown. Cited in 3 Documents MSC: 74B99 Elastic materials 74H99 Dynamical problems in solid mechanics 74B10 Linear elasticity with initial stresses 74G70 Stress concentrations, singularities in solid mechanics Keywords:semi-infinite elastic body; arbitrary shape; hole; uniform longitudinal shear load; boundary with two fixed parts; complex stress functions; closed form; conformal mapping function; stress distribution; stress intensity factor PDFBibTeX XMLCite \textit{N. Hasebe} et al., J. Appl. Mech. 53, 814--818 (1986; Zbl 0606.73014) Full Text: DOI