Biaxial dynamic bending of elastoplastic beams (Q1082136)

An elastic-inelastic analogy is presented for dynamic biaxial bending of beams. Inelastic effects are treated as fictitious additional sources of self-stresses in the adjoint linear elastic structure of time-invariant stiffness. Thus, superposition applies and linear methods such as Green's functions and Duhamel's integral may be used in a convenient manner. Fictitious loadings themselves are determined from the inelastic material's law in a time-stepping procedure. As an example problem, a preloaded elastoplastic beam under harmonic excitation of support motion type is considered.