Nonlinear Rheology of Glassy Materials: a Simplified Maxwell Model

XUE Haifeng; NI Yong

doi:10.21656/1000-0887.390149

Volume 40 Issue 1

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XUE Haifeng, NI Yong. Nonlinear Rheology of Glassy Materials: a Simplified Maxwell Model[J]. Applied Mathematics and Mechanics, 2019, 40(1): 8-19. doi: 10.21656/1000-0887.390149

Citation:

XUE Haifeng, NI Yong. Nonlinear Rheology of Glassy Materials: a Simplified Maxwell Model[J]. Applied Mathematics and Mechanics, 2019, 40(1): 8-19. doi: 10.21656/1000-0887.390149

Citation:

XUE Haifeng, NI Yong. Nonlinear Rheology of Glassy Materials: a Simplified Maxwell Model[J]. Applied Mathematics and Mechanics, 2019, 40(1): 8-19. doi: 10.21656/1000-0887.390149

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Nonlinear Rheology of Glassy Materials: a Simplified Maxwell Model

doi: 10.21656/1000-0887.390149

CAS Key Laboratory of Mechanical Behavior and Design of Materials;Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, P.R.China

Funds: The National Natural Science Foundation of China(11672285)

Received Date: 2018-05-21
Rev Recd Date: 2018-05-28
Publish Date: 2019-01-01

Abstract

Abstract

The mechanical behaviors of glassy materials show great differences under different loading conditions. A simplified Maxwell model combined with rate equations was proposed to study the influences of the strain rate, the temperature, and the aging time on the nonlinear mechanical responses of glassy materials controlled by the evolution of free volume defects. With this model, it is revealed that, within a certain range the higher the strain rate is, the lower the temperature, the longer the aging time and the higher the peak stress will be. In addition, the model also indicates that the peak stress and the critical strain of the stressstrain curve exhibit logarithmic dependence on the aging time. These conclusions are consistent with the results previously reported out of molecular dynamics simulations.
- glassy materials,
- aging effect,
- stress overshooting,
- strain softening

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References(43)

References

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