What is viscoelastic analysis?
A good reference for the theory of viscoelasticity you can be found from the following link:
Viscoelastic Solutions for the Multilayered Systems
This section provides a computational background of the multilayered pavement system subjected to a cylindrical, circular load, which is a simplified loading condition of a single tire of vehicle. Three primary assumptions for the materials—homogeneous, isotropic, and linearly elastic—were used in the derivation of stresses, strains and displacements in the layered systems. Compared to ‘General Viscoelastic Solutions for the Multilayered Systems,’ which will be described in the later section, one can easily identify the key difference between the elastic and the viscoelastic layered solutions. The details of computational derivations of viscoelastic solutions for multilayered systems can be found in the section of ‘General Viscoelastic Solutions for the Multilayered Systems.’ Free software which is capable to perform both elastic and viscoelastic analyses on multilayered systems with up to four layers can be downloaded from the section of ‘Viscoelastic Multilayered Analysis Program - V-Layer.’
Viscoelastic Multilayered Analysis Program - V-Layer
V-Layer is a viscoelastic multilayered analysis program and was develop to analyze the viscoelastic behavior of pavement. In the V-LAYER program, three analyses—elastic analysis, viscoelastic analysis for a static load, and viscoelastic analysis for a moving load—can be performed on a viscoelastic multilayer pavement structure. This is free software and can be downloaded by anyone who is interested in both the elastic and viscoelastic analyses on multilayered pavement systems.
Software (V-Layer)
V-Layer can perform both the Elastic Layered Analysis and the Viscolastic Layered Analysis on the same pavement structure. Outputs will be stress, strain & displacement.
V-Layer:
V-Layer developed using Visual Basic 6 and C++ can be operated in Windows 7, 8 or 10 and require Excel to be operated in your PC. The followings are required to run V-Layer.
Download V-Layer.msi and install in your PC.
Must run V-Layer as administrator.
When you see the error massage of 'this application failed to start because msstdfmt.dll was not found'
Download the “MSSTDFMT.DLL” and save to C:\Windows\System32\ in our computer.
Click on Start, Click on All Programs, and Click on Accessories.
Right click on Command Prompt and run as administrator.
Type in the following command and press “Enter”
c:\windows\system32\regsvr32 c:\windows\system32\msstdfmt.dll
For those who cannot operate V-Layer, VBA version was developed. You can download V-Layer.zip either for 32 bit or 64 bit Excel.
How to conduct the viscoelastic analysis to evaluate the performance of pavements and mixtures?
Step 1. Input dynamic moduli obtained from the mixture's dynamic modulus test (the compressive testing mode). If the mixture's dynamic modulus test is not available, complex modulus can be obtained from the predictive equation using HIRSCH model.
https://drive.google.com/file/d/11gKWXUxqogTqPNCgmDoQtgZaYTxf-3Ko/view?usp=sharing
Step 2. Input simple material's properties (a thickness of AC layers, effective binder content, Gmb, air void of mixture, and VMA) and the results of moving load simulation performed using V layer (Max Stress/Max Strain from the moving load analysis used for E of HMA) in the spreadsheet and obtain no of loading repetitions.
https://drive.google.com/file/d/11uX7RCeltvkzRT9dJCd8AQWVBpCh2ndm/view?usp=sharing
Software (ViscoRoute 2.0)
ViscoRoute was developed based on the Huet-Sayegh model that accounts for the behavior of asphalt pavement layers. By means of the Fast Fourier transform method, the equations of the model are solved in the coordinate system of the moving load. You can download ViscoRoute from the followng link:
https://drive.google.com/file/d/1sfOPtzvOCHaLXDZBGGtt3JsblKaRpFd9/view?usp=sharing
The theoretical background of ViscoRoute can be found from:
Useful References
0. An Efficient Computation for the Multiaxial Viscoelastic Continuum Damage Analysis of Pavements
1. General Viscoelastic Solutions for The Multilayered Systems Subjected to Static and Moving Loads
3. Viscoelatic Analysis of Flexible Pavements and Its Effects on Top-Down Cracking
4. Determination of Viscoelastic Poisson’s Ratio and Creep Compliance from the Indirect Tension Test
6. Integration of Thermal Fracture in the HMA Fracture Model
8. Extension of Fracture Mechanics Principles to Viscoelastic Continuum Media
9. Backcalculation of Dynamic Modulus from Resilient Modulus Test Data
10. An Effect of Thermal Stresses on Pavement Performance under Mild Climate Conditions
11. Interpreting Dissipated Energy from Complex Modulus Data
12. Obtaining Creep Compliance Parameters Accurately from Static or Cyclic Creep Tests