Axial Non-linear Dynamic Soil-Pile Interaction

This chapter describes recent analytical and numerical advances in the modeling of the axial nonlinear dynamic interaction between a single pile and its embedding soil . On one hand, analytical solutions are developed for assessing the nonlinear axial dynamic response of the shaft of a pile subjected to dynamic loads, and in particular to vibratory loads. Radial inhomogeneity arising from shear modulus degradation is evaluated over a range of parameters and compared with those obtained by other authors and by a numerical radial discrete model simulating the pile and soil movements from integration of the laws of motion. New approximate nonlinear solutions for axial pile shaft behaviour developed from general elastodynamic equations are presented and compared to existing linear solutions. The soil nonlinear behaviour and its ability to dissipate mechanical energy upon cyclic loading are shown to have a significant influence on the mechanical impedance provided by the surrounding soil against pile shaft movement. The limitations of over-simplified modelling of pile response are highlighted.

[1]  George D. Bouckovalas,et al.  Non-linear soil properties and impedances for axially vibrating pile elements. , 1998 .

[2]  R. Dobry,et al.  Effect of Soil Plasticity on Cyclic Response , 1991 .

[3]  Alain Holeyman.  Vibratory Pile Driving , 1997 .

[4]  Milos Novak,et al.  Nonlinear Axial Interaction in Pile Dynamics , 1994 .

[5]  Alain Holeyman.  Dynamic non-linear skin friction of piles , 1985 .

[6]  A. Sommerfeld,et al.  Lectures on theoretical physics , 1950 .

[7]  Milos Novak,et al.  Dynamic Stiffness and Damping of Piles , 1974 .

[8]  R. L. Kondner.  Hyperbolic Stress-Strain Response: Cohesive Soils , 1963 .

[9]  Alain Holeyman,et al.  Soil Modeling for Pile Vibratory Driving , 1994 .

[10]  Y. Han,et al.  Impedances for Radially Inhomogeneous Viscoelastic Soil Media , 1995 .

[11]  B. Hardin,et al.  VIBRATION MODULUS OF NORMALLY CONSOLIDATED CLAY , 1968 .

[12]  Alain Holeyman,et al.  Flexural Analysis in Dynamic Pinned Head Pile Testing , 2013, Geotechnical and Geological Engineering.

[13]  Erich Bauer,et al.  CALIBRATION OF A COMPREHENSIVE HYPOPLASTIC MODEL FOR GRANULAR MATERIALS , 1996 .

[14]  Alain Holeyman,et al.  Numerical evaluation of effects of nonlinear lateral pile vibrations on nonlinear axial response of pile shaft , 2013 .

[15]  M. Randolph,et al.  Analysis of Deformation of Vertically Loaded Piles , 1978 .

[16]  E.A.L. Smith,et al.  Pile-Driving Analysis by the Wave Equation , 1960 .

[17]  Kirk W. Dotson,et al.  VERTICAL AND TORSIONAL VIBRATION OF FOUNDATIONS IN INHOMOGENEOUS MEDIA , 1988 .

[18]  V. Drnevich,et al.  SHEAR MODULUS AND DAMPING IN SOILS: DESIGN EQUATIONS AND CURVES , 1972 .

[19]  Milos Novak,et al.  Non‐Linear Model for Dynamic Axial Pile Response , 1994 .

[20]  P. V. Wolffersdorff,et al.  A hypoplastic relation for granular materials with a predefined limit state surface , 1996 .

[21]  Alain Holeyman,et al.  Impedance of pile shafts under axial vibratory loads , 2013 .

[22]  Ricardo Dobry,et al.  Simple Radiation Damping Model for Piles and Footings , 1984 .

[23]  Alain Holeyman.  Technology of pile dynamic testing , 1992 .

[24]  Milos Novak,et al.  Approximate Approach to Contact Effects of Piles , 1991 .

[25]  George D. Bouckovalas,et al.  Approximate non-linear dynamic axial response of piles , 1998 .

[26]  I. Ishibashi,et al.  UNIFIED DYNAMIC SHEAR MODULI AND DAMPING RATIOS OF SAND AND CLAY , 1993 .

[27]  A. Sommerfeld,et al.  Mechanics: Lectures on Theoretical Physics , 1964 .