Abstract

A survey is presented on theoretical solutions to elastoplastic treatments in failure mechanics, in which the plastic zones are simulated as slip bands. Some experimental studies are discussed on plastic-strain localization in thin layers near cracks. Two-dimensional treatments of plastic band growth in bodies with cracks are considered for the conditions of planar stress, planar strain, and longitudinal shear, together with the corresponding axisymmetric and three-dimensional treatments. A note is also made of papers in which the plasticity band model is used for the bending of plates and shells containing cracks.

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