Boundary integral equation method for general viscoelastic analysis

From basic assumptions of viscoelastic constitutive relations and weight residual techniques a Boundary Element procedure is achieved for both Kelvin and Boltzmann models. Imposing spatial approximations and adopting convenient kinematical relations for strain velocities, a system of time differential equations is achieved. This system is solved adopting linear approximations for displacements, resulting in a time marching methodology. This approach avoids the use of relaxation functions and makes easier changes in boundary conditions along time, natural or essential. An important feature of the resulting technique is the absence of domain discretizations, which simplify the treatment of problems involving infinite domains (tunnels and cavities inside the soil). Some examples are shown in order to demonstrate the accuracy and stability of the technique when compared to analytical solutions.