Mb. Chopra et Gf. Dargush, BOUNDARY-ELEMENT ANALYSIS OF STRESSES IN AN AXISYMMETRICAL SOIL MASS UNDERGOING CONSOLIDATION, International journal for numerical and analytical methods in geomechanics, 19(3), 1995, pp. 195-218
A time domain boundary element method (BEM) for evaluating stresses in
an axisymmetric soil mass undergoing consolidation has been developed
. Previous BEM work on axisymmetric poroelasticity for boundary displa
cements and pore pressures is extended to permit the computation of st
resses at both boundary and interior points. The stress formulation pr
eserves the surface-only discretization.The boundary displacement inte
gral equation is progressively differentiated to obtain the related st
ress and strain integral equations. Explicit expressions for the stead
y-state axisymmetric fundamental solutions are derived in this process
. The transient components of the integrands are obtained directly fro
m the transformation of the three-dimensional kernels into a cylindric
al system. Numerical implementation of these integral equations is car
ried out within a general purpose BEM computer code and several illust
rative examples are presented to validate the method.