RESEARCH PAPER
Research on one-dimensional ubiquitiformal constitutive relations for a bimaterial bar
Min Yang 1
,  
Zhuo-Cheng Ou 1  
,  
 
 
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State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing, China
Publish date: 2019-04-15
Submission date: 2017-06-01
Acceptance date: 2018-07-25
 
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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