Variational solution for vertically loaded pile groups in an elastic half-space

This paper presents a variational approach that can be used to analyse vertically loaded pile groups in soil modelled by an elastic half-space. With use of a variational approach, both the displacements and shear stresses of group piles are each represented by a finite series. The principle of minimum potential energy is used to determine the response of pile groups. Good agreement between the present analytical method and other numerical methods is observed for the behaviour of pile groups. The theoretical predictions compare reasonably well with field measurements.