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Fractional order constitutive model of geomaterials under the condition of triaxial test
Author(s) -
Yin Deshun,
Wu Hao,
Cheng Chen,
Chen YangQuan
Publication year - 2012
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.2139
Subject(s) - viscoelasticity , creep , rheology , constitutive equation , fractional calculus , triaxial shear test , elasticity (physics) , stress relaxation , geotechnical engineering , mathematics , materials science , mechanics , structural engineering , engineering , composite material , physics , finite element method , shear (geology)
SUMMARY Fractional calculus has been successfully applied to characterize the rheological property of viscoelastic materials; however, geomaterials were seldom involved in fractional order constitutive models (FOCM), and the topic of first loading and then unloading is rarely discussed through fractional calculus. In this paper, mechanical properties are considered as a ‘spectrum’, both ends of which are elasticity and viscosity, and the fractional order can be utilized to describe such properties quantitatively. In addition to conditions such as creep, stress‐relaxation, and constant‐strain‐rate loading, stress‐strain relationship under the condition of first loading and then unloading was also derived using FOCM. FOCM is then adopted to simulate triaxial tests of geomaterials under corresponding conditions. A comparison of test and numerical results demonstrates that FOCM can reasonably describe the mechanical characteristics of geomaterials.Copyright © 2012 John Wiley & Sons, Ltd.