Nsm. Fernando et al., ELASTIC ANALYSIS OF BURIED STRUCTURES SUBJECT TO 3-DIMENSIONAL SURFACE LOADING, International journal for numerical and analytical methods in geomechanics, 20(5), 1996, pp. 331-349
A method is presented which may be used to compute the displacements,
strains and moments (both in-plane and transverse) in buried structure
s such as pipelines and culverts subjected to longitudinal bending. Th
is type of bending can occur if a surface loading such as a vehicular
loading or an embankment loading is applied to the soil above the pipe
or culvert. Fourier transforms are used to reduce the three-dimension
al problem to one involving only two spatial directions, thereby reduc
ing the data preparation and computation time. Conventional finite ele
ment analysis is used to approximate the field quantities in the trans
formed two-dimensional plane. Two Fourier integral element types have
been developed which have many applications in geotechnical engineerin
g.