Ra. Day et Dm. Potts, ZERO THICKNESS INTERFACE ELEMENTS - NUMERICAL STABILITY AND APPLICATION, International journal for numerical and analytical methods in geomechanics, 18(10), 1994, pp. 689-708
Many methods have been proposed to model joints in rocks or the interf
ace between soil and a structure. Many analysts have reported numerica
l problems when using zero thickness interface elements while others h
ave presented satisfactory results without comment of such difficultie
s. The numerical behaviour of zero thickness interface elements is fur
ther investigated in this paper. Some simple examples illustrate the a
pplication of interface elements to practical situations and highlight
the numerical difficulties that may be encountered. Both ill-conditio
ning of the stiffness matrix and high stress gradients were found to c
ause numerical instability. Ill-conditioning can be reduced by careful
selection of the size of the 2D elements adjacent to the interface. T
he problem of steep stress gradients is entirely one of inadequate mes
h design. Contrary to other reports, this paper shows that the Newton-
Cotes integration scheme has no benefit over Gaussian integration. Ana
lyses of a retaining wall using interface elements confirm the analyti
cal values of active and passive earth pressure coefficients which are
commonly used in analysis and design of retaining walls.