, Volume 44, Issue 6, pp 733–739 | Cite as

Large deflections of nonlinearly elastic non-prismatic cantilever beams made from materials obeying the generalized Ludwick constitutive law



This paper studies large deflections of nonlinearly elastic cantilever beams made from materials obeying the generalized Ludwick constitutive law. An exact moment-curvature formula which can be applied to study arbitrarily loaded and supported beams of rectangular cross-sections is developed. Several advantages of the generalized Ludwick’s model are illustrated. Numerical examples considered in this materially and geometrically nonlinear analysis clearly indicate rich nonlinear behavior of the beams.


Large deflections Generalized Ludwick constitutive law Non-prismatic beams Material and geometrical nonlinearities 


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© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Faculty of Mechanical EngineeringUniversity of LjubljanaLjubljanaSlovenia

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