Visualization for Constitutive Relations in Engineering
Y. M. A. Hashash*
NCSA/U of I Faculty Fellowship Program
Material constitutive relations or models are mathematical representations
of the mechanical response of material and relate stress and strain states
of the material in a three-dimensional space. The relations in addition
include descriptions of geometric shapes to represent yield and failure
surfaces. This research explores the use of advanced computer
visualization techniques and graphics to represent these relations. The
visual representation will facilitate the interpretation of
three-dimensional states of stress and stress and the influence of a
constitutive relation on their evolution due to specified loading
conditions.
Stability of Tunnels and Rock
Ridges Adjacent to Quarries
E. J. Cording,* Y. Hashash,*
M. Ajlouni, S. J. Lee, J. M. Oh, J. S. Moon
Investigation of the stability
of haul tunnels beneath an interstate highway as part of the TARP system
of the MWSD of Greater Chicago provided an opportunity to investigate the
2-D and 3-D behavior of tunnels and overall stability of the rock ridge
beneath the highway. Distinct element analyses, both 2-D and 3-D, were
conducted using UDEC and 3-DEC. Two-dimensional evaluations were made of
tunnel cross sections and tunnel and ridge cross-sections.
Three-dimensional analyses were made of the larger ridge and quarry
behavior. The analyses distinguished between conditions where stability
problems had developed and where problems were not expected. Correlations
with field measurements are being conducted
Direct Field Calibration for
Model Simulations of Deep Excavations
Y. M. A. Hashash,* J.
Ghaboussi
Numerical modeling of
geotechnical problems is used routinely in major construction projects.
These models and simulations involve nonlinear analysis of staged
construction for open-cut excavations, tunnels, slopes, and similar
engineered structures. The most important and difficult part of these
computer simulations is the representation of the constitutive behavior of
the soil strata. In this project, researchers will explore a novel,
powerful, and systematic method to calibrate the constitutive model of the
soil behavior directly from field measurements. This will be accomplished
through the use of autoprogressive method, a neural network based
methodology, in the modeling of staged construction for a deep braced
excavation.
Non-Linear Seismic Site
Response of Deep Soil Deposits
Y. M. A. Hashash*
Ground motion simulations well
constrained by geological and seismic data are an important resource for
assessing hazard and designing earthquake-resistant structures, especially
in urban areas of the central United States, where damaging earthquakes
are largely unknown and where many buildings have poor seismic resistance.
This project includes the development of new, simplified 1-D site response
analysis techniques to examine the influence of very deep soil deposits in
the Mississippi Embayment on ground motion propagation. The results of
this study will provide valuable information for developing seismic risk
maps and designing codes appropriate for the region.