Biaxial dynamic bending of elastoplastic beams
type: Item
instance of: scholarly article
title: Biaxial dynamic bending of elastoplastic beams
zbMATH Open document ID: 0602.73053
DOI: 10.1007/BF01175861
published in: Acta Mechanica
publication date: 1986-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 3972337
zbMATH Keywords: elastic-inelastic analogy
zbMATH Keywords: dynamic biaxial bending
zbMATH Keywords: fictitious additional sources of self-stresses
zbMATH Keywords: adjoint linear elastic structure
zbMATH Keywords: time- invariant stiffness
zbMATH Keywords: superposition
zbMATH Keywords: Green's functions
zbMATH Keywords: Duhamel's integral
zbMATH Keywords: Fictitious loadings
zbMATH Keywords: time-stepping procedure
zbMATH Keywords: preloaded elastoplastic beam
zbMATH Keywords: harmonic excitation
author: H. Irschik
MaRDI profile type: Publication
cites work: Dynamic analysis of elastic-plastic beams by means of thermoelastic solutions
cites work: Q3777536
cites work: Q3245884
cites work: Q3962570
full work available at URL: https://doi.org/10.1007/bf01175861
OpenAlex ID: W1967723176
description: scientific article; zbMATH DE number 3972337