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中文核心期刊
Kang Yonggang, Zhang Xiu'e. THE NON-STATIONARY DIFFERENTIAL CONSTITUTIVE MODELS OF VISCOELASTICITY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 456-459. DOI: 10.6052/0459-1879-2012-2-20120231
Citation: Kang Yonggang, Zhang Xiu'e. THE NON-STATIONARY DIFFERENTIAL CONSTITUTIVE MODELS OF VISCOELASTICITY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 456-459. DOI: 10.6052/0459-1879-2012-2-20120231

THE NON-STATIONARY DIFFERENTIAL CONSTITUTIVE MODELS OF VISCOELASTICITY

  • 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.
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