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In order to study the properties of high-temperature creep for mudstone, MTS810 electro-hydraulic servo material test system and MTS652.02 high temperature furnace are utilized for the creep test of mudstone at 700°C. Considering the visco-elastic-plastic characteristics and the damage effect, the variable-order fractional creep model is established to research the creep character, and it is found that the proposed model can be well fitting of our experimental results. Especially, variable-order function can be used to analyze and study the viscoelastic property evolution of mudstone in process of high-temperature creep. Compositions of mudstone are distinguished by X-ray diffraction technology. The presence of the illite under high temperatures can be used for explaining the viscous feature prevails over the elastic ones in viscoelastic properties.
PAPER REVISED: 2017-05-01
PAPER ACCEPTED: 2017-05-15
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THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Supplement 1, PAGES [S343 - S349]
  1. Li, Y., et al., A Survey on Fractional-Order Iterative Learning Control, Journal of Optimization Theory and Applications, 156 (2013), 1, pp. 127-140
  2. Yang, X. J., et al., On a Fractal LC-Electric Circuit Modeled by Local Fractional Calculus, Communications in Nonlinear Science and Numerical Simulation, 47 (2017), June, pp. 200-206
  3. Yang, X. J., A New Integral Transform Operator for Solving the Heat-diffusion Problem, Applied Mathematics Letters, 64 (2017), Feb., pp. 193-197
  4. Xu, M. Y., Tan, W., Intermediate Processes and Critical Phenomena: Theory, Method and Progress of Fractional Operators and Their Applications to Modern Mechanics, Science China Physics, Mechanics and Astronomy, 49 (2006), 3, pp. 257-272
  5. Mainardi, F., An Historical Perspective on Fractional Calculus in Linear Viscoelasticity, Fractional Calculus and Applied Analysis, 15 (2012), 4, pp.712-717
  6. Paola, M. D., et al., Fractional Differential Equations and Related Exact Mechanical Models, Computers and Mathematics with Applications, 66 (2013), 5, pp. 608-620
  7. Bagley, R. L., et al., A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity, Journal of Rheology, 27 (1983), 3, pp. 608-620
  8. Coimbra, C. F. M., Mechanics with Variable-Order Differential Operators, Annalen der Physik, 12 (2003), 11-12, pp. 692-703
  9. Soon, C. M., et al., The Variable Viscoelasticity Oscillator, Annalen der Physik, 12 (2005), 6, pp. 378-389
  10. Ramirez, L. E., Coimbra, C. F., A Variable Order Constitutive Relation for Viscoelasticity, Annalen der Physik, 16 (2007), 7-8, pp. 543-552
  11. Atangana, A., Cloot, A. H., Stability and Convergence of the Space Fractional Variable-order Schroedinger Equation, Advances in Difference Equations, 80, (2013), 1, pp.1-10
  12. Bazhlekova, E. G., Dimovski, I. H., Exact Solution for the Fractional Cable Equation with Nonlocal Boundary Conditions, Central European Journal of Physics, 11 (2013), 10, pp. 1304-1313
  13. Sun, H. G., et al., A Comparative Study of Constant-Order and Variable-Order Fractional Models in Characterizing Memory Property of Systems, The European Physical Journal Special Topics 193, (2011), 1, pp. 185-192
  14. Razminia, A, et al., Solution Existence for Non-Autonomous Variable-Order Fractional Differential Equations, Mathematical and Computer Modelling, 55 (2011), 3, pp. 1106-1117
  15. Zhang, S., Existence and Uniqueness Result of Solutions to Initial Value Problems of Fractional Differential Equations of Variable-Order, Journal of Fractional Calculus and Applications, 4, (2013), 1, pp. 82-98
  16. Yang, X. J., Machado, J. A. T., A New Fractional Operator of Variable Order: Application in the Description of Anomalous Diffusion, Physica A: Statistical Mechanics and its Applications, 481 (2017), Sept., pp. 276-283
  17. Valerio, D., Da Costa, J. S., Variable-Order Fractional Derivatives and Their Numerical Approximations, Signal Processing, 91 (2011), 3, pp. 470-483
  18. Bhrawy, A. H., Zaky, M. A., Numerical Simulation for Two-Dimensional Variable-Order Fractional Nonlinear Cable Equation, Nonlinear Dynamics, 80 (2015), 1-2, pp. 101-116
  19. Yang, X. J., New Rheological Problems Involving General Fractional Derivatives within Nonsingular Power-Law Kernel, Proceedings of the Romanian Academy - Series A, 69, (2017), 3, in press
  20. Yang, X. J., New General Fractional-Order Rheological Models within Kernels of Mittag-Leffler Functions, Romanian Reports in Physics, 69, (2017), 4, Article ID 118
  21. Yang, X. J., et al., New Rheological Models within Local Fractional Derivative, Romanian Reports in Physics, 69 (2017), 3, pp. 113
  22. Yang, X. J., et al., Anomalous Diffusion Models with General Fractional Derivatives within the Kernels of the Extended Mittag-Leffler Type Functions, Romanian Reports in Physics, 69, (2017), 4, Article ID 115

© 2017 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence