Constitutive Relation of Engineering Material Based on SIR Model and HAM
Joint Authors
Cong, Maolin
Han, Enzhen
He, Haoxiang
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
As an epidemic mathematical model, the SIR model represents the transition of the Susceptible, Infected, and Recovered.
The profound implication of the SIR model is viewed as the propagation and dynamic evolutionary process of the different internal components and the characteristics in a complex system subject to external effect.
The uniaxial stress-strain curve of engineering material represents the basic constitutive relation, which also represents the damage propagation in the units of the damaged member.
Hence, a novel dynamic stress-strain model is established based on the SIR model.
The analytical solution and the approximate solution for the proposed model are represented according to the homotopy analysis method (HAM), and the relationship of the solution and the size effect and the strain rate is discussed.
In addition, an experiment on the size effect of confined concrete is carried out and the solution of SIR model is suitable for simulation.
The results show that the mechanical mechanism of the parameters of the uniaxial stress-strain model proposed in this paper reflects the actual characteristics of the materials.
The solution of the SIR model can fully and accurately show the change of the mechanical performance and the influence of the size effect and the strain rate.
American Psychological Association (APA)
He, Haoxiang& Han, Enzhen& Cong, Maolin. 2014. Constitutive Relation of Engineering Material Based on SIR Model and HAM. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-486083
Modern Language Association (MLA)
He, Haoxiang…[et al.]. Constitutive Relation of Engineering Material Based on SIR Model and HAM. Journal of Applied Mathematics No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-486083
American Medical Association (AMA)
He, Haoxiang& Han, Enzhen& Cong, Maolin. Constitutive Relation of Engineering Material Based on SIR Model and HAM. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-486083
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486083