Damage Zones Near Excavations:
Plastic Solution By Means Of Stress Trajectories
Author(s)
P. Haderka & A. N. Galybin
Abstract
This study presents an alternative approach for identification of damaged zones
near excavations. The approach is based on ideal plastic solutions but in contrast
to the classical case it deals with the Cauchy’s problem only by alternating
classical solutions for slip zones with solutions for stress trajectories followed by
conversion of the latter into slip grids. Comparisons with classical solutions are
discussed.
Keywords: ideal plasticity, slip lines, stress trajectories.
1 Introduction
Damaged zones near excavations are frequently observed in underground mines.
They present a significant issue for safety and effectiveness of mining operations
and should be properly accounted for in design of particular excavations. This
paper is aimed at the development of numerical methods for determination of
damage zones in the case of long-wall excavations such as tunnels, well-bores,
tabular stopes, etc. Another important motivation of this study is the application
of a variant of the stress trajectory element method, STEM, which is currently
under development in the Wessex Institute of Technology [1]. The method
addresses the problem of stress identification in statically determined bodies by
employing stress trajectories.
The concept of stress trajectories comes from photoelasticity, therefore one
can adopt the following definition due to Frocht [2]: Stress trajectories are curves
the tangents to which represent the directions of one of the principal stresses at
the points of tangency. Stress is a second-rank tensor which components satisfy
differential equations of equilibrium, DEE, and certain constitutive equations.
The latter constitute a broad class and some examples are found in engineering:
Keywords
ideal plasticity, slip lines, stress trajectories.
Related Book
Other papers in this volume
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