Abstract
Non-smooth strain gradient fields are studied in bending beams, in the context of strain gradient elasticity. It is found that strain fields with continuous curvature, but discontinuous curvature derivatives (evolutes) are possible. The pure bending and buckling problems of a simply supported beam are investigated.
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Lazopoulos, A.K. Non-smooth bending and buckling of a strain gradient elastic beam with non-convex stored energy function. Acta Mech 225, 825–834 (2014). https://doi.org/10.1007/s00707-013-0997-9
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DOI: https://doi.org/10.1007/s00707-013-0997-9