Mechanics of Time-Dependent Materials

, Volume 18, Issue 1, pp 275–291 | Cite as

Quasi-static analysis of multilayered domains with viscoelastic layer using incremental-layerwise finite element method

  • M. Ameri
  • M. Malakouti
  • P. Malekzadeh


This paper presents a layerwise finite element formulation for quasi-static analysis of laminated structures with embedded viscoelastic material whose constitutive behavior is represented by the Prony series. To account the time dependence of the constitutive relations of linear viscoelastic materials, the incremental formulation in the temporal domain is used. This approach avoids the use of relaxation functions and mathematical transformations. A computer code based on the presented formulation has been developed to provide the numerical results. The high accuracy of the method is exhibited by comparing the results with existing solutions in the literature and also with those obtained using the ABAQUS software. Finally, and as an application of the presented formulation, the effects of time and load rate on the quasi-static structural response of asphalt concrete (AC) pavements are studied.


Layerwise finite element Linear viscoelastic materials Laminated structures Pavements Prony series 


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.School of Civil EngineeringIran University of Science and TechnologyTehranIran
  2. 2.Transportation Research InstituteIran University of Science and TechnologyTehranIran
  3. 3.Head of Center of Excellence of PMSTransportation and SafetyTehranIran
  4. 4.Department of Mechanical EngineeringPersian Gulf UniversityBushehrIran

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