×

Longitudinal shear problem for an elastic body with two fixed edges. (English) Zbl 0606.73014

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.

MSC:

74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
74B10 Linear elasticity with initial stresses
74G70 Stress concentrations, singularities in solid mechanics
PDFBibTeX XMLCite
Full Text: DOI