292
Views
9
CrossRef citations to date
0
Altmetric
Articles

A thermodynamically compatible model for describing asphalt binders: solutions of problems

, &
Pages 550-564 | Received 29 Nov 2014, Accepted 14 Dec 2014, Published online: 09 Mar 2015

References

  • Damanik, H., et al., 2010. A monolithic FEM approach for the log-conformation reformulation (LCR) of viscoelastic flow problems. Journal of Non-Newtonian Fluid Mechanics, 165 (19–20), 1105–1113. 10.1016/j.jnnfm.2010.05.008.
  • Davis, T.A., 2004. Algorithm 832: UMFPACK V4. 3 – an unsymmetric-pattern multifrontal method. ACM Transactions on Mathematical Software (TOMS), 30 (2), 196–199. 10.1145/992200.992206.
  • Glowinski, R., 1985. Viscous flow simulation by finite element methods and related numerical techniques. In: Progress and supercomputing in computational fluid dynamics; Proceedings of US-Israel workshop, Jerusalem, Israel, December 1984 (A86-46787 22-34)Vol. 1. Boston: Birkhaeuser Boston, 173–210.
  • Glowinski, R., 2003. Finite element methods for incompressible viscous flow. In: P.Ciarlet and J.Lions, eds. Numerical methods for fluids (Part 3). Volume 9 of Handbook of Numerical Analysis, Amsterdam: Elsevier, 3–1176.
  • Hron, J., 2001. Fluid structure interaction with applications in biomechanics, Thesis (PhD). Charles University.
  • Hron, J., Rajagopal, K.R., and Tůma, K., 2014. Flow of a Burgers fluid due to time varying loads on deforming boundaries. Journal of Non-Newtonian Fluid Mechanics, 210, 66–77.
  • Krishnan, J.M. and Narayan, A., 2007. Steady shear experiments on asphalt [online], Internal ReportChennai: IIT, Madras.
  • Krishnan, J.M. and Rajagopal, K.R., 2005. On the mechanical behavior of asphalt. Mechanics of Materials, 37 (11), 1085–1100. 10.1016/j.mechmat.2004.09.005.
  • Málek, J., Rajagopal, K.R., and Tůma, K., 2014. A thermodynamically compatible model for describing the response of asphalt binders. International Journal of Pavement Engineering, 16 (4), 297–314.
  • Narayan, A., et al., 2012. Nonlinear viscoelastic response of asphalt binders: an experimental study of the relaxation of torque and normal force in torsion. Mechanics Research Communications, 43, 66–74. 10.1016/j.mechrescom.2012.02.012.
  • Rajagopal, K.R. and Srinivasa, A.R., 2004. On the thermomechanics of materials that have multiple natural configurations. Part I: viscoelasticity and classical plasticity. Zeitschrift Fur Angewandte Mathematik Und Physik, 55 (5), 861–893. 10.1007/s00033-004-4019-6.
  • Razzaq, M., et al., 2012. FEM multigrid techniques for fluid–structure interaction with application to hemodynamics. Applied Numerical Mathematics, 62 (9), 1156–1170, Numerical Analysis and Scientific Computation with Applications (NASCA) (2009). doi:https://doi.org/10.1016/j.apnum.2010.12.010.
  • Turek, S., et al., 2006. Numerical study of a modified time-stepping θ-scheme for incompressible flow simulations. Journal of Scientific Computing, 28 (2–3), 533–547. 10.1007/s10915-006-9083-y.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.