Abstract
Pseudoelastic bodies have very simple stress-strain diagrams for uniaxial tensile and compressive loading. In particular, yield and recovery occur at fixed stresses. And yet, the moment-curvature diagrams for bending and unbending of a beam are fairly complex, because the stress and strain fields are non-uniform. The paper shows stress profiles within the beam for pure bending and arrives at explicit equations for loading and unloading curves.
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Atanacković, T., Achenbach, M. Moment-curvature relations for a pseudoelastic beam. Continuum Mech. Thermodyn 1, 73–80 (1989). https://doi.org/10.1007/BF01125887
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DOI: https://doi.org/10.1007/BF01125887