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| Uniform uniaxial constitutive relation for engineering material based on SIR epidemic model |
| Received:June 14, 2012 Revised:December 26, 2012 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201401015 |
| KeyWord:constitutive relation size effect strain rate homotopy analysis method epidemic model |
| Author | Institution |
| 何浩祥 |
北京工业大学 工程抗震与结构诊治北京市重点实验室, 北京 |
| 闫维明 |
北京工业大学 工程抗震与结构诊治北京市重点实验室, 北京 |
| 李晓飞 |
大连海事大学 道路与桥梁工程研究所, 大连 |
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| Abstract: |
| The uniaxial stress-strain curve of engineering material reflects the basic constitutive relation,but the research on the uniform constitutive relation for various materials is still not deep enough.A new dynamic stress-strain model is established based on the SIR model for the transmission dynamics of infectious diseases.The analytical solution and the approximate solution for the proposed model is represented according to the homotopy analysis method,and the relationship of the solution and the size effect and strain rate is discussed.The results show that the mechanical mechanism of the parameters in the uniaxial stress-strain model proposed in this paper reflects the actual materials characteristics.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. |