Composite beam structures with asymmetrically arranged, perfectly onded and thick layers are analyzed. Layerwise continuous and linear in-plane displacement fields are implemented, and as such model both the global and local elastic-viscoplastic response of laminate beams. By definition of an effective cross-sectional rotation the complex problem reduces to the simpler case of a homogenized shear-deformable beam with effective stiffness and corresponding set of boundary conditions. Inelastic defects of the material are equivalent to eigenstrains in an identical but elastic background structure of the homogenized beam with proper effective virgin stiffness. Proper resultants of these eigenstrains are defined. Since the incremental response of the background is considered linear within a given time step, solution methods of the linear theory of flexural vibrations can be applied. The confirmed load consists of the given external forces and the eigenstrain resultants. The latter are updated in space in the course of time.
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