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ARTICLE
Research on one-dimensional ubiquitiformal constitutive relations for a bimaterial bar
1
State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing, China
Submission date: 2017-06-01
Acceptance date: 2018-07-25
Publication date: 2019-04-15
Journal of Theoretical and Applied Mechanics 2019;57(2):291-301
KEYWORDS
ABSTRACT
A one-dimensional ubiquitiformal constitutive model for a bimaterial bar is proposed in this
paper. An explicit analytical expression for the effective Young modulus is then obtained,
which, unlike the fractal one, leads to a continuous displacement distribution along the
bar. Moreover, numerical results for concretes are calculated and found to be in agreement
with previous experimental data. In addition, some previous empirical and semi-empirical
constitutive models are also examined, which shows that each of these models can correspond
well to a ubiquitiformal one under a certain complexity.
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