Elasto-plastic Timoshenko beam analysis extends beam finite elements to include shear deformation and plastic material response under bending and axial effects.
How It Works
The beam element retains Timoshenko kinematics, so rotations and transverse shear deformation are part of the formulation. Plasticity is evaluated through section stress resultants or through integration over the cross-section, depending on the implementation detail.
The source uses this as a bridge between one-dimensional plasticity and higher-dimensional continuum plasticity. It shows that plasticity is not only a continuum-element issue: structural elements also need state storage, section integration, and incremental equilibrium.
Why It Matters
Beam plasticity is useful for frames, members, and reduced structural models where a continuum mesh is unnecessary or too expensive. It also exposes solver issues that recur in shells and plates: section integration, through-thickness yielding, and tangent stiffness degradation.
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