Elastic mimicry of elasto-plastic responses
作者:
G. W. Hunt,
H. M. Bolt,
期刊:
Civil Engineering Systems
(Taylor Available online 1986)
卷期:
Volume 3,
issue 2
页码: 100-108
ISSN:0263-0257
年代: 1986
DOI:10.1080/02630258608970432
出版商: Taylor & Francis Group
关键词: mathematical model;elasto-plasticity;bifurcations
数据来源: Taylor
摘要:
A range of successively more elaborate elastic models is developed, with responses that in many ways mimic those of plastic specimens under load. The bilinear stiffness of a simple one degree-of-freedom elastic prop, which experiences a symmetric point of bifurcation, is first used to model the fundamental elasto-plastic response: the introduction of an imperfection corresponds to the Ramberg-Osgood approximation, rounding off the bilinearity. Upper and lower yield points are reproduced by a model termed the elastic hook, in which an elastic spring of the first model is itself replaced by an elastic prop with a bilinear stiffness. Finally, the normality relation of incremental plasticity theory is reproduced by two props at right-angles: responses are also traced for two hooking models in this configuration, for which no real comparison in plasticity theory seems to exist at present.
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