Abstract
Based on the theories of Bernoulli-Euler beams and Vlasov’s thin-walled members, a new geometrical and physical nonlinear beam element model is developed by applying an interior node in the element and independent interpolations on bending angles and warp, in which factors such as traverse shear deformation, torsional shear deformation and their coupling, coupling of flexure and torsion, and second shear stress are all considered. Thereafter, geometrical nonlinear strain in total Lagarange (TL) and the corresponding stiffness matrix are formulated. Ideal plastic model is applied to physical nonlinearity to comply with the yield rule of Von Mises and incremental relationship of Prandtle-Reuss. Elastoplastic stiffness matrix is derived by numerical integration on the basis of the finite segment method. Examples show that the developed model is feasible in analysis of thin-walled structures with high accuracy.
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