Rational Mechanics of Axial Soil‐Pile Interaction

Dynamic Winkler modulus for axially loaded piles

“…The boundary layer phenomenon observed at can be understood in light of the requirement for maximum soil reaction near the pile head (to resist the applied load), and zero soil reaction (to satisfy the boundary condition of the traction-free surface). Evidently, soil reaction has to jump from zero to maximum over an infinitesimal distance, generating this pattern (Pak & Ji, 1993;Syngros, 2004 Figures 8 and 9 present corresponding results in the dynamic regime. It is observed that displacements tend to attenuate faster with increasing frequency.…”

Singular boundary elements for three-dimensional elasticity problems

“…[2]), it is well known that the stress field at those locations may become singular. As a result, the convergence and accuracy of numerical solutions for this class of problems can be improved by incorporating such local characteristics into the computational scheme [14][15][16]. A rigorous treatment of the rigid punch problems in Fig.…”

“…8 is re-plotted in Fig. 9 with an addition of the four-node singular-element values (indicated by an asterisk) that are calculated using traction-compatible kinematic interpolations (12) and (16) in lieu of their (default) bi-linear counterparts (9) and (14). As can be seen from the display, the results obtained using two alternative kinematic descriptions are indistinguishable, which suggests that the choice of the displacement shape functions over traction-singular boundary elements may not be essential for the class of problems under consideration.…”

Rigid cylinder in a transversely isotropic half‐space under lateral loads

“…Considering the logarithmic singular nature of the corresponding kernels, a numerical procedure is developed on the basis of a piecewise linear interpolation of regular parts as in [11]. In order to validate the present solution and its accuracy, a comparison is needed between this study and the one in [12].…”

“…This study is followed by Pak [10] where the problem is shown to be reducible to Fredholm integral equations for flexture of pile under lateral loads. Later, in a more developed and accurate form for elastic piles under axial load by Pak and Ji [11] and lateral loads by Abedzadeh and Pak [12] and [13] are presented in the literature. Also, dynamic soil-pile interaction was the subject of such analysis and for cylindrical thin-walled piles in isotropic media can be found in Pak and Ji [14] and Ji and Pak [15].…”