Viscoelastic Modelling of Road Deflections for use with the Traffic Speed Deflectometer

DTU Orbit (16/01/2019) Viscoelastic Modelling of Road Deflections for use with the Traffic Speed Deflectometer This Ph.D. study is at its core about how asphalt and road structures responds to dynamic loads. Existing models for the deflections under a moving load using beam equations are revisited and it is concluded they leave room for improvement for the particular setup and problem at hand. Then a different approach is set up to model viscoelastic deflections starting from the physically based framework of continuum mechanics by using Finite Element Methods (FEM) combined with the Laplace transform. It is shown that this approach coincides with a more standard time-stepping FEM setup in the case of a generalized Maxwell model. Validations by comparison to ViscoRoute simulations are also made. This justifies the use of the Laplace FEM for generating simulated data using a Huet-Sayegh model for the visco-elastic behaviour of asphalt. These simulated data, along with measured data, are then used to suggest an approach for a computationally simpler synthetic model capturing essential behaviour of deflection bassins under a moving wheel.

[1]  Y. Kim.  MODELING OF ASPHALT CONCRETE , 2007 .

[2]  J Weligamage,et al.  Continuous bearing capacity profile of 18,000 km Australian road network in five months , 2010 .

[3]  Andrew C. Fowler,et al.  Mathematical Models in the Applied Sciences , 1997 .

[4]  Armelle Chabot,et al.  ViscoRoute 2.0 A , 2010 .

[5]  Jens Gravesen,et al.  Beneath the Wheel - Greenwood Engineering , 2005 .

[6]  Rowland Richards,et al.  Principles of Solid Mechanics , 2000 .

[7]  J Krarup.  BEARING CAPACITY AND WATER PART II MEASURED RESPONSE , 1994 .

[8]  A. Mujumdar,et al.  Handbook of Food and Bioprocess Modeling Techniques , 2006 .

[9]  G. Mase,et al.  Continuum Mechanics for Engineers, Second Edition , 1999 .

[10]  J. H. Lammers,et al.  Green’s function for steady flow over a small two-dimensional topography , 2000 .

[11]  Adam Loverro,et al.  Fractional Calculus : History , Definitions and Applications for the Engineer , 2004 .

[12]  David Cebon,et al.  Response of Continuous Pavements to Moving Dynamic Loads , 1993 .

[13]  Mansour Solaimanian,et al.  Modelling linear viscoelastic properties of asphalt concrete by the Huet–Sayegh model , 2009 .

[14]  P. Gómez Zamorano,et al.  On the Application of the numerical Laplace transform for accurate electromagnetic transient analysis , 2007 .

[15]  V. Nguyen.  Comportement dynamique de structures non-linéaires soumises à des charges mobiles , 2002 .

[16]  Lars Vabbersgaard Andersen.  Wave propagation in infinite structures and media , 2002 .

[17]  L. Debnath,et al.  Integral Transforms and Their Applications, Second Edition , 2006 .

[18]  Per Ullidtz.  Modelling Flexible Pavement Response and Performance , 1998 .

[19]  J. L. Nolan.  Stable Distributions. Models for Heavy Tailed Data , 2001 .

[20]  Piero Gelfi,et al.  An energetic formulation for the linear viscoelastic problem. Part I: Theoretical results and first calculations , 1995 .