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Biaxial dynamic bending of elastoplastic beams

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Summary

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.

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Authors and Affiliations

  1. Institut für Allgemeine Mechanik, Technische Universität Wien, Karlsplatz 13, A-1040, Wien, Austria

    H. Irschik

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  1. H. Irschik
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Irschik, H. Biaxial dynamic bending of elastoplastic beams. Acta Mechanica 62, 155–167 (1986). https://doi.org/10.1007/BF01175861

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  • DOI: https://doi.org/10.1007/BF01175861

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