Quasi-static analysis of multilayered domains with viscoelastic layer using incremental-layerwise finite element method
- 281 Downloads
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.
KeywordsLayerwise finite element Linear viscoelastic materials Laminated structures Pavements Prony series
- Boltzmann, L.: Zur theorie der elastischen nachwirkung sitzungsber. Math.-Nat. Kl. Kais. Akad. Wiss. 70, 275 (1878) Google Scholar
- Christensen, R.M.: Theory of Viscoelasticity: An Introduction. Academic Press, New York (1971) Google Scholar
- Huang, Y.H.: Pavement Analysis and Design, 2nd edn., p. 77. Pearson/Prentice Hall, Upper Saddle River (2004) Google Scholar
- Lee, H.J.: Uniaxial constitutive modeling of asphalt concrete using viscoelasticity and continuum damage theory. Ph.D. dissertation, North Carolina State University, Raleigh, NC (1996) Google Scholar