Chinese Journal of Theoretical and Applied Mechani ›› 2012, Vol. 44 ›› Issue (2): 456-459.DOI: 10.6052/0459-1879-2012-2-20120231

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THE NON-STATIONARY DIFFERENTIAL CONSTITUTIVE MODELS OF VISCOELASTICITY

Kang Yonggang, Zhang Xiu'e   

  1. Institute of Disaster-Prevention Science and Technology, Sanhe, Hebei 065201, China
  • Received:2011-08-15 Revised:2011-09-10 Online:2012-03-23 Published:2012-03-23
  • Supported by:
    The project was supported by the Foundation of Institute of Disaster-Prevention Science and Technology (201008).

Abstract: Based on non-stationary viscous components, the non-stationary Maxwell model, the non-stationary Kelvin model and the non-stationary Zener model were developed. Their relaxation moduli, creep compliances and unloading functions were obtained by resolving the non-stationary constitutive relation. The results show that many empirical functions, such as power law relaxation, stretched exponential relaxation, logarithmic creep, can be seen as non-stationary model. The corresponding relaxation modulus and unloading functions of empirical creep functions, the corresponding creep compliance and unloading functions of empirical relaxation function were obtained by resolving the non-stationary constitutive relation.

Key words: non-stationary differential model|empirical model|stress relaxation|creep

CLC Number: