DYNAMIC DISPLACEMENT AND STRAIN FIELDS WITHIN TRENCHED SOILS: POST-PROCESSING QUANTITIES FROM INDIRECT-BEM’S FICTITIOUS LOADS

Resumo

This work investigates time-harmonic strain and displacement fields within trenched soils
through an Indirect-BEM (IBEM) approach. The method consists of a superposition of Green’s functions
for surface and buried loads. Solutions for surface loads are used to discretize a rigid plate at the surface
of the soil, on top of which time-harmonic vertical loads are applied. Solutions for buried load are used
together with zero-stress boundary conditions to model the presence of trenches in the soil. The soil
is modeled as homogeneous isotropic or transversely isotropic half-spaces, for which classical Green’s
functions are available in the literature. Stress and displacement fields within the trenched half-space
containing a surface plate are related through sets of fictitious loads. Post-processing from these loads

yield quantities such as the displacement field anywhere in the half-space. This work uses these post-
processed quantities to study how the ground vibration propagating from the loaded plate is affected by

the presence of trenches.