Abstract
The computational aspect of dynamic analysis of elasto-plastic arches is discussed in the present paper. Dynamic equilibrium, compatibility conditions and constitutive equations are strictly observed during the formulation and time marching process. Direct time integration is carried out by Newmark-β method. Elastic-plastic transient phase changes are carefully monitored and methodically handled. Also presented is a computing algorithm used to take care of the complicated case of several plastic hinges forming simultaneously and stress point trapped at the corner or along the crease of the multidimensional yield surface.
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Lee, S.L., Alwis, W.A.M., Swaddiwudhipong, S., Mairantz, B. (1988). Computational Aspect of Dynamic Analysis of Elastoplastic Arches. In: Agarwal, R.P., Chow, Y.M., Wilson, S.J. (eds) Numerical Mathematics Singapore 1988. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 86. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6303-2_23
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DOI: https://doi.org/10.1007/978-3-0348-6303-2_23
Publisher Name: Birkhäuser, Basel
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